A buffer containing the return value of a kernel invocation. Note: this is only needed for invocation not able to return a sample_result.
-
+
-
+std::optional<std::size_t> numberTrajectories¶
The number of trajectories to be used for an expectation calculation on simulation backends that support trajectory simulation.
+
XOR \(\oplus\)
Quantum oracles¶
-
+
Suppose we have \(f(x): \{0,1\} \longrightarrow \{0,1\}\). We can compute this function on a quantum computer using oracles which we treat as black box functions that yield the output with an appropriate sequence of logic gates.
Above you see an oracle represented as \(U_f\) which allows us to transform the state \(\ket{x}\ket{y}\) into:
@@ -837,7 +837,7 @@ Quantum parallelism¶
Our aim is to find out if \(f: \{0,1\} \longrightarrow \{0,1\}\) is a constant or a balanced function? If constant, \(f(0) = f(1)\), and if balanced, \(f(0) \neq f(1)\).
We step through the circuit diagram below and follow the math after the application of each gate.
-
+
\[\ket{\psi_0} = \ket{01}
\tag{1}\]
diff --git a/pr-2423/examples/python/performance_optimizations.html b/pr-2423/examples/python/performance_optimizations.html
index 8c9a0c37c9..71158398b0 100644
--- a/pr-2423/examples/python/performance_optimizations.html
+++ b/pr-2423/examples/python/performance_optimizations.html
@@ -716,9 +716,9 @@ Optimizing Performance
Gate Fusion¶
Gate fusion is an optimization technique where consecutive gates are combined into a single gate operation to improve the efficiency of the simulation (See figure below). By targeting the nvidia-mgpu backend and setting the CUDAQ_MGPU_FUSE environment variable, you can select the degree of fusion that takes place. A full command line example would look like CUDAQ_MGPU_FUSE=4 python c2h2VQE.py --target nvidia --target-option fp64,mgpu
-
+
The importance of gate fusion is system dependent, but can have a large influence on the performance of the simulation. See the example below for a 24 qubit VQE experiment where changing the fusion level resulted in significant performance boosts.
-
+
diff --git a/pr-2423/genindex.html b/pr-2423/genindex.html
index 97dbf81195..6655b9e44d 100644
--- a/pr-2423/genindex.html
+++ b/pr-2423/genindex.html
@@ -967,6 +967,8 @@ C
cudaq::ExecutionContext::name (C++ member)
cudaq::ExecutionContext::noiseModel (C++ member)
+
+ cudaq::ExecutionContext::numberTrajectories (C++ member)
cudaq::ExecutionContext::optResult (C++ member)
diff --git a/pr-2423/objects.inv b/pr-2423/objects.inv
index 6dd7d0ce0b..2c91e0a83b 100644
Binary files a/pr-2423/objects.inv and b/pr-2423/objects.inv differ
diff --git a/pr-2423/searchindex.js b/pr-2423/searchindex.js
index 0d2e431db1..558d645e18 100644
--- a/pr-2423/searchindex.js
+++ b/pr-2423/searchindex.js
@@ -1 +1 @@
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38, 39, 40, 42, 45, 47, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 72, 74, 75, 76, 78, 79], "pauli": [1, 2, 3, 8, 9, 10, 12, 13, 15, 19, 23, 33, 41, 50, 58, 67], "matrix": [1, 2, 3, 4, 13, 15, 16, 19, 20, 23, 25, 29, 30, 31, 49, 50, 52, 60, 67, 71, 80], "It": [1, 2, 4, 7, 9, 14, 15, 16, 17, 19, 22, 30, 31, 33, 40, 45, 47, 50, 53, 58, 60, 63, 67, 68, 71, 74, 76, 79, 80], "i": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 45, 47, 49, 50, 51, 52, 53, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "also": [1, 2, 3, 7, 9, 14, 17, 18, 20, 21, 23, 25, 27, 29, 31, 33, 37, 41, 50, 51, 52, 53, 54, 56, 57, 58, 60, 63, 66, 67, 68, 70, 71, 72, 74, 76, 79, 80], "known": [1, 2, 18, 20, 22, 37, 64, 68], "NOT": [1, 33, 40, 67], "gate": [1, 2, 3, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 25, 29, 30, 31, 40, 44, 45, 47, 51, 54, 56, 60, 64, 65, 71, 80], "appli": [1, 2, 3, 5, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 25, 26, 33, 36, 37, 40, 44, 47, 52, 53, 56, 60, 63, 64, 65, 67, 68, 71], "0": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 35, 36, 37, 40, 41, 42, 43, 45, 47, 49, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 72, 74, 76, 78, 79, 80], "1": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 71, 72, 74, 78, 79, 80], "rotat": [1, 3, 9, 10, 13, 14, 17, 18, 25, 29, 40, 41, 56, 62, 71], "\u03c0": 1, "about": [1, 2, 3, 7, 9, 17, 18, 19, 20, 21, 29, 31, 33, 47, 50, 51, 52, 53, 54, 57, 58, 63, 66, 72, 74, 76, 77, 78, 79, 80], "axi": [1, 11, 20, 21, 29], "enabl": [1, 2, 3, 5, 9, 14, 23, 32, 33, 35, 37, 38, 40, 42, 43, 44, 45, 49, 50, 51, 53, 54, 57, 58, 62, 63, 66, 68, 71, 72, 74, 78, 79], "one": [1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 18, 19, 20, 22, 23, 29, 31, 33, 35, 36, 38, 40, 43, 47, 50, 51, 52, 53, 54, 59, 60, 62, 63, 65, 66, 67, 68, 70, 71, 72, 74, 78, 79, 80], "superposit": [1, 5, 7, 13, 29, 33, 36, 45, 53, 56, 58, 67], "comput": [1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 23, 25, 27, 29, 30, 32, 33, 35, 36, 37, 43, 45, 47, 52, 53, 54, 57, 58, 61, 66, 71, 72, 76, 78, 79], "basi": [1, 2, 3, 4, 10, 12, 14, 17, 20, 22, 23, 24, 25, 45, 52, 53, 67], "sqrt": [1, 3, 5, 7, 10, 12, 14, 15, 17, 25, 29, 36, 50, 63, 67, 79], "2": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 47, 50, 51, 52, 53, 54, 58, 60, 62, 63, 65, 66, 67, 68, 72, 74, 76, 78, 79, 80], "an": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 74, 76, 79, 80], "arbitrari": [1, 2, 3, 20, 50, 51, 65, 78], "\u03bb": 1, "exp": [1, 2, 12, 18, 36, 41, 50], "i\u03bb": 1, "math": [1, 4, 7, 18, 52], "pi": [1, 8, 9, 11, 13, 14, 16, 18, 19, 21, 22, 27, 29, 36, 37, 42, 44, 50, 51, 52, 63], "std": [1, 2, 3, 33, 35, 36, 37, 40, 41, 43, 44, 45, 52, 53, 58, 63, 64, 66, 70, 71, 76, 78], "number": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 23, 26, 27, 29, 33, 36, 41, 43, 45, 47, 50, 51, 52, 53, 54, 56, 58, 62, 63, 64, 65, 66, 67, 68, 71, 74, 79], "\u03b8": 1, "co": [1, 14, 19, 29, 50], "isin": 1, "sin": [1, 14, 29], "its": [1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 25, 31, 32, 33, 43, 45, 47, 48, 52, 53, 54, 58, 60, 63, 64, 67, 68, 71, 72, 74, 78, 79, 80], "4": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 51, 52, 53, 54, 60, 63, 66, 68, 72, 74, 78, 80], "i\u03c0": 1, "two": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 20, 22, 25, 27, 29, 38, 47, 50, 51, 53, 54, 58, 60, 62, 63, 65, 67, 74, 78], "qubit_1": [1, 7, 13, 60], "qubit_2": [1, 15], "univers": [1, 2, 9, 15, 20, 52, 67], "three": [1, 10, 17, 18, 20, 22, 38, 51, 52, 62], "paramet": [1, 2, 3, 6, 8, 9, 11, 12, 13, 16, 18, 20, 21, 23, 33, 37, 40, 45, 50, 51, 52, 54, 56, 60, 62, 63, 64, 66, 71, 72], "euler": [1, 50], "angl": [1, 2, 3, 6, 10, 14, 17, 18, 27, 29, 36, 37, 40, 53, 56, 62, 63], "theta": [1, 8, 9, 10, 11, 13, 14, 21, 22, 25, 27, 29, 33, 35, 36, 52, 53, 60, 62], "phi": [1, 3, 4, 10, 33, 35, 51, 63, 68], "\u03c6": 1, "lambda": [1, 2, 8, 9, 12, 13, 17, 18, 19, 22, 27, 33, 36, 37, 42, 50, 63, 65, 66, 68], "i\u03c6": 1, "np": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 36, 37, 42, 44, 50, 51, 53, 54, 60, 63, 66, 72], "m_pi": [1, 36, 44, 63], "m_pi_2": [1, 36, 37, 52], "adj": [1, 40, 60], "method": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 17, 18, 19, 20, 21, 22, 26, 27, 33, 35, 40, 45, 50, 51, 53, 54, 58, 60, 64], "ani": [1, 2, 3, 9, 12, 13, 18, 19, 20, 22, 23, 25, 27, 29, 33, 37, 39, 40, 42, 44, 45, 50, 51, 52, 54, 56, 58, 59, 60, 63, 64, 65, 71, 72, 74, 78, 79], "alloc": [1, 2, 3, 6, 13, 20, 33, 35, 36, 37, 38, 45, 53, 54, 56, 58, 64, 65, 71], "now": [1, 4, 5, 7, 9, 10, 13, 14, 15, 18, 20, 21, 22, 31, 47, 58, 63, 64, 65, 66, 74, 79, 80], "again": [1, 5, 22, 23, 33, 47, 74, 76], "initi": [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 15, 18, 19, 21, 22, 27, 33, 50, 51, 53, 60, 63, 66, 67, 72, 74], "ctrl": [1, 2, 5, 7, 13, 16, 18, 23, 27, 29, 33, 35, 36, 40, 52, 53, 56, 60, 62, 63, 64, 65, 67, 68, 74, 79], "condit": [1, 2, 14, 15, 20, 25, 33, 34, 35, 37, 38, 54, 57, 67, 68], "more": [1, 2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 18, 20, 22, 26, 29, 31, 35, 38, 40, 41, 47, 51, 52, 53, 54, 57, 58, 60, 63, 66, 67, 72, 74, 76, 78, 79, 80], "wikipedia": [1, 50], "entri": [1, 3, 12, 33, 37, 53, 60, 63, 68, 74, 78], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 4, 9, 15, 23, 25, 27, 58, 66, 67, 78, 79], "11": [1, 3, 4, 9, 11, 15, 16, 17, 19, 20, 22, 23, 25, 27, 29, 33, 58, 66, 67, 68, 72, 74, 78, 79], "onli": [1, 2, 3, 5, 9, 15, 17, 18, 20, 22, 23, 24, 29, 33, 37, 38, 42, 45, 47, 50, 51, 52, 53, 57, 63, 67, 68, 70, 72, 74, 78, 79], "both": [1, 3, 4, 5, 7, 11, 18, 38, 47, 51, 53, 54, 67, 72, 74, 76], "000": [1, 14, 15, 17, 18, 52, 58], "111": [1, 9, 14, 15, 17, 18], "follow": [1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 20, 22, 23, 24, 26, 27, 29, 31, 33, 35, 37, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "common": [1, 3, 9, 10, 17, 18, 20, 21, 22, 33, 37, 40, 41, 68, 72], "convent": [1, 8, 11, 13, 23], "all": [1, 2, 3, 9, 15, 16, 17, 18, 19, 20, 22, 23, 27, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 45, 47, 51, 52, 53, 54, 58, 60, 62, 63, 66, 67, 68, 72, 74, 75, 76, 78, 79, 80], "howev": [1, 4, 9, 14, 15, 17, 20, 22, 23, 47, 50, 51, 53, 78], "behavior": [1, 2, 3, 9, 22, 54], "chang": [1, 2, 5, 9, 14, 18, 28, 31, 33, 37, 50, 58, 74, 79, 80], "instead": [1, 2, 4, 9, 25, 39, 42, 53, 54, 58, 72, 74, 78], "when": [1, 2, 3, 9, 12, 13, 17, 18, 20, 33, 38, 45, 47, 52, 53, 54, 58, 62, 63, 64, 68, 71, 72, 74, 78, 79], "negat": [1, 2, 3, 40, 44, 45], "polar": [1, 40, 44, 54], "syntax": [1, 9, 31, 32, 37, 38, 40, 42, 51, 60, 63, 76, 80], "preced": [1, 40, 51], "01": [1, 4, 7, 15, 20, 25, 27, 67], "10": [1, 4, 7, 9, 10, 11, 12, 13, 15, 16, 17, 19, 20, 22, 25, 27, 29, 33, 36, 37, 54, 58, 60, 63, 64, 66, 67, 68, 72, 74, 76], "notat": [1, 15, 67], "context": [1, 2, 11, 38, 53, 54, 71], "valid": [1, 2, 3, 30, 37, 51, 54, 60, 63, 72, 74, 78], "either": [1, 7, 11, 13, 18, 38, 51, 53, 54, 63, 67, 72, 74, 79], "similarli": [1, 7, 22, 53, 59, 67], "condition": 1, "respect": [1, 2, 3, 4, 8, 13, 18, 22, 27, 33, 50, 51, 53, 58, 62, 66, 67, 72, 74, 79], "e": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 26, 29, 32, 33, 34, 36, 37, 38, 39, 40, 41, 47, 50, 51, 52, 53, 54, 63, 68, 71, 72, 74, 78, 79], "project": [1, 54, 71, 72, 74, 75, 78], "onto": [1, 67], "eigenvector": [1, 2, 10, 12], "non": [1, 2, 3, 8, 10, 12, 17, 18, 33, 37, 38, 45, 53, 54, 58, 62, 64], "linear": [1, 5, 9, 11, 12, 14, 21, 25, 52, 58, 63, 67], "avail": [1, 2, 3, 8, 9, 10, 20, 22, 27, 30, 31, 32, 33, 37, 38, 40, 43, 44, 45, 46, 49, 51, 52, 53, 54, 57, 58, 60, 61, 62, 63, 68, 72, 74, 79, 80], "first": [1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 27, 29, 30, 33, 45, 51, 52, 53, 54, 55, 60, 62, 63, 64, 65, 68, 74, 79], "api": [1, 23, 26, 29, 30, 33, 35, 39, 40, 43, 45, 50, 51, 52, 53, 54, 58, 60, 64, 71, 72, 74, 76, 78], "regist": [1, 2, 3, 5, 10, 14, 18, 21, 24, 33, 36, 38, 45, 51, 53, 60, 63, 64, 65, 68, 71], "outsid": [1, 9, 74, 78], "Then": [1, 17, 20, 24, 51, 63, 70, 71], "within": [1, 2, 3, 21, 33, 37, 39, 41, 45, 51, 53, 54, 57, 58, 60, 63, 64, 67, 70, 72, 74, 75, 76, 78, 79], "like": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 21, 22, 23, 27, 28, 31, 33, 37, 45, 51, 53, 58, 60, 63, 64, 66, 67, 68, 72, 74, 75, 78, 79, 80], "built": [1, 2, 4, 6, 9, 12, 14, 22, 23, 25, 31, 51, 54, 57, 58, 72, 78, 79, 80], "abov": [1, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 22, 23, 33, 35, 40, 50, 51, 52, 53, 54, 58, 60, 62, 63, 65, 67, 68, 71, 72, 74, 76, 78, 79], "level": [1, 2, 3, 22, 28, 31, 32, 33, 38, 40, 50, 52, 53, 54, 68, 71, 75, 80], "register_oper": [1, 60], "accept": [1, 2, 3, 22, 23, 56, 72, 74, 79], "identifi": [1, 2, 3, 4, 13, 18, 20, 72, 74], "string": [1, 2, 3, 5, 18, 26, 29, 33, 35, 36, 43, 50, 54, 58, 64, 68, 74, 78], "numpi": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 36, 50, 60, 63, 66, 72], "arrai": [1, 2, 3, 4, 7, 10, 12, 14, 15, 16, 17, 20, 23, 25, 27, 45, 47, 50, 51, 53, 54, 60, 63, 64, 66, 68], "complex": [1, 2, 3, 4, 8, 12, 15, 19, 25, 41, 47, 50, 53, 58, 60, 66, 67, 78], "A": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 21, 27, 28, 29, 33, 36, 37, 40, 47, 50, 51, 58, 60, 63, 65, 66, 67, 70, 71, 72, 74], "1d": [1, 2], "interpret": [1, 8, 57, 63, 72], "row": [1, 2, 3, 29, 60], "major": [1, 72], "import": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 36, 41, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 66, 67, 68, 72, 78, 79], "custom_h": 1, "custom_x": [1, 60], "def": [1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 33, 36, 37, 42, 44, 50, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 67, 74, 79], "bell": [1, 15, 33, 78], "sampl": [1, 2, 3, 5, 7, 8, 9, 13, 16, 17, 18, 20, 25, 35, 51, 52, 53, 54, 55, 57, 60, 63, 64, 65, 66, 67, 71, 74, 78, 79], "dump": [1, 2, 3, 25, 33, 36, 52, 53, 58, 63, 64, 66, 78, 79], "macro": [1, 71], "cudaq_register_oper": 1, "uniqu": [1, 2, 3, 9, 13, 17, 20, 33, 38, 40, 45, 53, 76], "name": [1, 2, 3, 9, 13, 15, 18, 33, 35, 40, 43, 49, 50, 51, 52, 53, 54, 62, 66, 67, 68, 71, 72, 74, 75, 78, 79], "represent": [1, 2, 3, 14, 15, 20, 23, 29, 33, 37, 47, 50, 54, 68, 70, 71], "includ": [1, 2, 3, 4, 12, 13, 16, 22, 31, 33, 36, 45, 50, 52, 56, 57, 58, 60, 62, 63, 64, 65, 68, 70, 71, 72, 74, 76, 78, 79, 80], "m_sqrt1_2": 1, "__qpu__": [1, 2, 33, 36, 37, 44, 52, 53, 56, 58, 62, 63, 64, 65, 68, 78, 79], "void": [1, 2, 3, 33, 35, 36, 37, 40, 41, 43, 44, 45, 56, 58, 63, 65, 68, 70, 71, 76, 78, 79], "bell_pair": [1, 2, 3], "r": [1, 4, 17, 18, 40, 45, 51, 52, 53, 54, 62, 63, 68, 74], "int": [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 25, 33, 36, 37, 44, 45, 50, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 68, 71, 72, 76, 78, 79], "main": [1, 4, 5, 9, 18, 20, 31, 33, 36, 47, 52, 58, 62, 63, 64, 65, 68, 72, 74, 76, 78, 79, 80], "auto": [1, 2, 33, 35, 36, 37, 41, 44, 45, 52, 53, 54, 56, 58, 62, 63, 64, 65, 68, 70, 78, 79], "count": [1, 2, 3, 5, 8, 9, 10, 12, 13, 17, 18, 23, 33, 35, 36, 45, 51, 52, 53, 54, 58, 63, 64, 65, 66, 68, 71], "bit": [1, 2, 3, 4, 5, 7, 15, 16, 17, 18, 23, 25, 33, 36, 38, 45, 47, 53, 54, 63, 64, 65, 67, 71], "printf": [1, 33, 36, 45, 53, 62, 64, 65, 72], "n": [1, 2, 4, 5, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 22, 33, 35, 36, 37, 40, 41, 44, 52, 53, 58, 60, 62, 63, 64, 65, 66, 67, 68, 72, 76, 79], "data": [1, 2, 8, 11, 12, 13, 14, 21, 30, 33, 37, 39, 41, 47, 53, 54, 62, 64, 65, 68, 71, 73, 74, 76, 78], "multi": [1, 4, 14, 15, 23, 29, 30, 31, 32, 35, 38, 40, 44, 49, 50, 51, 52, 58, 60, 61, 62, 67, 71, 72, 78, 79, 80], "msb": 1, "order": [1, 2, 3, 4, 9, 12, 13, 15, 29, 33, 41, 50, 51, 54, 58, 62], "big": [1, 8, 16, 23], "endian": [1, 16, 23], "show": [1, 8, 9, 11, 13, 14, 15, 17, 20, 21, 22, 29, 50, 53, 60, 62, 63, 72, 74], "differ": [1, 2, 3, 7, 9, 10, 11, 12, 14, 15, 17, 18, 22, 23, 27, 29, 47, 51, 52, 53, 57, 58, 63, 66, 72, 74, 76, 79], "test": [1, 9, 11, 12, 16, 17, 18, 22, 30, 35, 66, 72, 74], "cnot": [1, 5, 9, 40, 56, 60, 67, 78], "my_cnot": 1, "print": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 33, 36, 45, 50, 52, 53, 58, 60, 62, 63, 64, 65, 66, 67, 68, 72, 78, 79], "500": [1, 22, 67, 79], "exact": [1, 9, 10, 16, 20, 54], "random": [1, 2, 3, 4, 5, 8, 9, 13, 15, 16, 17, 18, 20, 21, 22, 27, 29, 53, 54, 66], "construct": [1, 2, 8, 9, 10, 12, 16, 17, 19, 22, 27, 29, 30, 33, 34, 35, 37, 45, 47, 50, 53, 56, 57, 58, 60, 61, 64, 68], "second": [1, 2, 3, 4, 7, 8, 9, 12, 13, 17, 19, 45, 50, 52, 54, 58, 60, 63], "1j": [1, 12], "xy": [1, 29], "kron": [1, 17], "my_xi": 1, "custom_xy_test": 1, "undo": 1, "prior": [1, 54, 63, 67, 72, 74, 79], "1000": [1, 3, 9, 11, 16, 17, 20, 23, 25, 33, 51, 58, 64, 66, 67, 79], "mycnot": 1, "myxi": 1, "hardwar": [1, 9, 14, 18, 20, 23, 30, 31, 49, 54, 58, 61, 78, 80], "synthes": [1, 3, 20, 40, 44, 68], "current": [1, 2, 3, 9, 29, 31, 33, 43, 51, 53, 54, 71, 74, 78, 80], "orca": [1, 2, 49], "which": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 27, 29, 31, 33, 35, 38, 41, 45, 47, 50, 51, 53, 54, 60, 62, 63, 64, 66, 67, 68, 71, 72, 74, 75, 78, 80], "doe": [1, 2, 3, 7, 9, 14, 15, 20, 29, 31, 33, 37, 45, 50, 52, 53, 72, 74, 76, 78, 79, 80], "increment": [1, 2, 66], "qumod": 1, "up": [1, 2, 3, 7, 9, 13, 14, 16, 20, 29, 35, 41, 50, 51, 54, 57, 62, 63, 66, 68, 71, 74], "maximum": [1, 3, 8, 9, 20, 54], "valu": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 27, 29, 30, 33, 35, 37, 41, 45, 47, 50, 52, 53, 54, 58, 61, 63, 66, 67, 68, 72, 78, 79], "repres": [1, 2, 3, 4, 7, 8, 9, 13, 14, 15, 20, 25, 29, 33, 47, 50, 51, 54, 63, 67, 68], "If": [1, 2, 3, 5, 7, 9, 11, 14, 15, 16, 17, 18, 19, 23, 24, 29, 33, 47, 50, 51, 52, 54, 58, 63, 66, 67, 72, 74, 78, 79], "where": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 22, 23, 28, 29, 32, 38, 40, 41, 45, 47, 50, 51, 54, 58, 60, 63, 66, 67, 71, 72, 74, 76, 79], "alreadi": [1, 2, 3, 18, 29, 72, 74, 79], "ha": [1, 2, 3, 4, 5, 7, 9, 13, 15, 16, 17, 18, 20, 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"left": [1, 2, 4, 5, 7, 10, 12, 13, 14, 15, 23, 63, 71, 74], "right": [1, 4, 10, 13, 14], "17": [1, 9, 15, 16, 17, 20, 29, 60, 68, 76], "beam": [1, 51, 63], "splitter": [1, 51, 63], "act": [1, 2, 3, 6, 7, 9, 13, 26, 47, 50, 67], "togeth": [1, 17, 30, 54, 68, 79], "parameter": [1, 2, 3, 8, 9, 10, 13, 19, 21, 22, 33, 35, 37, 40, 50, 52, 57, 60, 62, 64, 66], "relat": [1, 2, 9, 13, 18, 20, 68], "reflect": [1, 36, 54], "a_2": [1, 18], "b": [1, 9, 22, 27, 33, 60, 63], "_": [1, 4, 7, 11, 17, 18, 20, 29, 50], "rang": [1, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 27, 29, 31, 36, 37, 44, 45, 50, 52, 53, 56, 60, 66, 74, 79, 80], "34": [1, 9, 17], "return": [1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 27, 29, 33, 35, 36, 37, 40, 45, 47, 50, 52, 53, 54, 58, 62, 63, 64, 66, 68, 70, 71, 72, 76, 78], "result": [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 33, 34, 35, 36, 38, 47, 50, 51, 52, 53, 54, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 74, 78, 79], "input": [1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14, 15, 20, 22, 26, 27, 33, 35, 36, 37, 44, 45, 53, 58, 60, 62, 63, 66], "class": [2, 3, 4, 9, 11, 20, 33, 35, 37, 41, 43, 45, 53, 54, 70, 71], "spin_op": [2, 8, 26, 33, 36, 40, 52, 53, 58, 62], "gener": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 18, 21, 23, 26, 29, 33, 35, 36, 37, 38, 40, 41, 44, 46, 51, 52, 54, 57, 62, 63, 64, 65, 67, 68, 70, 74, 78], "sum": [2, 3, 4, 11, 12, 13, 16, 17, 20, 26, 41, 45, 63, 67], "tensor": [2, 3, 11, 17, 26, 31, 41, 52, 53, 71, 80], "product": [2, 3, 5, 17, 26, 30, 31, 41, 52, 79, 80], "expos": [2, 3, 9, 33, 35, 41, 43, 47, 53, 71], "typic": [2, 20, 33, 45, 52, 56, 57, 62, 68, 75, 76], "algebra": [2, 41, 62, 67], "programm": [2, 3, 33, 34, 35, 37, 38, 40, 42, 43, 45, 51, 53, 64], "defin": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 29, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 45, 50, 52, 53, 54, 56, 57, 58, 60, 62, 63, 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18, 20, 38, 50, 53, 58, 67], "spars": 2, "function": [2, 3, 5, 6, 7, 8, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 31, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 56, 57, 58, 62, 64, 66, 68, 71, 76, 78, 80], "pair": [2, 3, 8, 12, 13, 15, 16, 37, 43, 47, 74], "const": [2, 33, 35, 36, 37, 40, 41, 43, 45, 52, 63, 70, 71, 76, 78], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 4, 5, 7, 9, 12, 13, 14, 16, 17, 19, 22, 27, 28, 31, 33, 35, 36, 37, 40, 41, 42, 43, 44, 45, 47, 51, 54, 57, 58, 60, 62, 63, 64, 65, 66, 68, 72, 74, 79, 80], "coeffici": [2, 3, 8, 12, 19, 26, 50, 67], "constant": [2, 7, 19, 45, 47, 68], "id": [2, 3, 33, 43, 45, 51, 53, 54, 72, 74], "coeff": 2, "qubit": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 35, 36, 37, 38, 41, 43, 44, 47, 50, 51, 52, 53, 54, 56, 57, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 74, 79], "unordered_map": [2, 33], "_term": 2, "full": [2, 3, 4, 18, 28, 31, 52, 53, 54, 66, 67, 68, 70, 72, 74, 75, 80], "composit": [2, 50], "spin": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 19, 22, 23, 25, 27, 33, 36, 41, 47, 50, 52, 53, 58, 62, 63, 66, 68], "op": [2, 3, 12, 19, 47, 62, 68], "map": [2, 3, 5, 8, 9, 17, 20, 22, 25, 33, 45, 50, 68, 74], "individu": [2, 3, 38, 45, 53, 60], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 25, 26, 27, 29, 31, 33, 34, 36, 37, 38, 41, 45, 47, 50, 52, 53, 54, 57, 58, 60, 62, 63, 66, 68, 71, 74, 75, 76, 79, 80], "creat": [2, 3, 5, 8, 9, 13, 14, 15, 17, 18, 20, 21, 25, 29, 30, 33, 35, 41, 44, 50, 51, 52, 53, 57, 58, 63, 64, 66, 68, 69, 71, 72, 74, 75, 76, 78, 79], "ident": [2, 12, 13, 17, 18, 20, 47, 50, 62], "numqubit": [2, 36], "given": [2, 3, 4, 7, 8, 9, 10, 13, 17, 18, 19, 20, 22, 23, 33, 45, 50, 51, 53, 54, 58, 62, 71], "o": [2, 9, 10, 14, 22, 36, 51, 52, 53, 54, 62, 63, 64, 65, 68, 72, 74, 76, 78, 79], "copi": [2, 15, 20, 29, 45, 47, 72, 74], "data_rep": 2, "serial": [2, 3, 12], "encod": [2, 3, 5, 9, 13, 18, 20, 33, 41, 53, 64, 67, 71], "via": [2, 3, 4, 5, 7, 11, 15, 20, 23, 25, 30, 32, 33, 35, 38, 40, 42, 44, 45, 47, 50, 51, 53, 54, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72], "real": [2, 8, 10, 12, 14, 16, 19, 20, 29, 57], "imaginari": [2, 4, 12], "part": [2, 3, 4, 12, 16, 18, 22, 33, 45, 68, 70, 72, 74], "append": [2, 3, 6, 8, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 27, 29, 37, 51, 53, 54, 60, 63, 66], "larg": [2, 4, 5, 12, 17, 22, 28, 40, 53, 54, 57, 67], "end": [2, 3, 4, 7, 10, 14, 15, 16, 17, 19, 20, 23, 25, 29, 33, 45, 51, 53, 54, 58, 60, 63, 67, 72, 74], "total": [2, 3, 4, 8, 9, 11, 12, 14, 20, 22, 52, 53, 54, 58, 63, 66, 74], "destructor": 2, "iter": [2, 3, 4, 9, 12, 18, 20, 22, 23, 26, 27, 33, 45], "begin": [2, 3, 4, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 23, 25, 29, 33, 45, 56, 63, 64, 67], "start": [2, 3, 4, 6, 14, 15, 18, 20, 23, 30, 31, 40, 45, 51, 53, 58, 60, 63, 68, 70, 76, 80], "equal": [2, 10, 20, 23, 29, 47, 53, 54, 58, 67], "v": [2, 3, 4, 8, 10, 12, 13, 18, 33, 36, 37, 42, 47, 52, 66, 68, 72], "noexcept": [2, 40], "subtract": 2, "multipli": [2, 12, 18], "true": [2, 3, 4, 5, 9, 11, 12, 15, 16, 17, 18, 20, 22, 27, 33, 37, 50, 51, 66, 72, 74, 79], "here": [2, 3, 4, 5, 7, 8, 9, 10, 12, 14, 17, 18, 20, 21, 22, 23, 25, 26, 30, 31, 33, 35, 36, 37, 40, 42, 50, 51, 52, 53, 60, 62, 63, 64, 65, 68, 70, 72, 74, 78, 79, 80], "consid": [2, 4, 5, 7, 9, 16, 17, 18, 19, 20, 36, 38, 47, 52, 53, 68, 74], "num_qubit": [2, 3, 19, 41, 52], "num_term": [2, 41], "get_coeffici": [2, 8, 12, 19, 41], "get": [2, 3, 10, 12, 14, 16, 17, 18, 20, 22, 25, 27, 29, 31, 33, 35, 36, 45, 51, 52, 53, 58, 62, 63, 66, 71, 72, 76, 79, 80], "throw": [2, 29], "except": [2, 3, 9, 12, 20, 29, 78], "get_raw_data": 2, "is_ident": [2, 41], "standard": [2, 3, 10, 20, 22, 27, 32, 33, 34, 35, 37, 40, 46, 53, 56, 57, 68, 70, 72, 74, 76, 78], "out": [2, 3, 7, 8, 9, 11, 12, 13, 14, 15, 18, 20, 22, 25, 27, 31, 33, 38, 45, 47, 53, 54, 58, 59, 60, 62, 63, 71, 74, 75, 78, 80], "to_str": [2, 8, 12, 19, 58], "printcoeffici": 2, "getdatarepresent": 2, "getdatatupl": 2, "fulli": [2, 3, 9, 11, 20, 31, 32, 51, 53, 64, 68, 72, 74, 78, 80], "distribute_term": 2, "numchunk": 2, "distribut": [2, 10, 16, 17, 20, 22, 23, 25, 31, 38, 52, 54, 58, 62, 64, 72, 78, 79, 80], "chunk": [2, 38], "for_each_term": [2, 8, 12, 19, 41], "give": [2, 13, 14, 17, 23, 31, 33, 48, 53, 54, 72, 74, 80], "functor": 2, "reduct": 2, "captur": [2, 13, 18, 22, 29, 31, 37, 50, 60, 80], "variabl": [2, 9, 12, 13, 15, 18, 22, 28, 31, 37, 38, 50, 51, 52, 53, 59, 63, 66, 72, 74, 79, 80], "for_each_pauli": [2, 41], "thrown": [2, 78], "than": [2, 3, 12, 13, 14, 15, 16, 18, 19, 22, 23, 24, 29, 40, 47, 52, 54, 58, 60, 67, 72, 74, 78], "user": [2, 3, 4, 5, 8, 9, 17, 20, 28, 31, 33, 35, 36, 38, 39, 42, 45, 50, 51, 52, 53, 54, 63, 66, 68, 71, 72, 74, 80], "should": [2, 3, 14, 18, 19, 22, 32, 33, 38, 40, 41, 43, 45, 51, 53, 54, 58, 71, 72, 74, 78, 79], "pass": [2, 3, 8, 9, 11, 12, 16, 19, 22, 29, 30, 33, 37, 38, 41, 45, 51, 53, 54, 60, 63, 65, 68, 69, 74, 78], "index": [2, 3, 5, 9, 11, 12, 16, 41, 43, 45, 47, 50, 53, 54, 71], "complex_matrix": 2, "to_matrix": [2, 10, 12, 50], "dens": 2, "to_sparse_matrix": 2, "col": 2, "static": [2, 3, 33, 40, 45, 50, 68, 72, 78], "nterm": 2, "unsign": 2, "seed": [2, 3, 4, 8, 9, 13, 17, 20, 21, 22, 29, 54, 66], "random_devic": 2, "specifi": [2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 23, 24, 26, 27, 29, 33, 36, 37, 38, 40, 41, 42, 43, 45, 50, 51, 52, 53, 54, 58, 60, 63, 64, 66, 68, 71, 72, 74], "overrid": [2, 33, 54, 70, 72], "repeat": [2, 16, 17, 18, 22, 33], "from_word": 2, "pauliword": 2, "word": [2, 3, 8, 12, 18, 19], "g": [2, 3, 9, 13, 18, 19, 20, 26, 32, 33, 34, 37, 38, 39, 40, 41, 47, 50, 51, 52, 53, 54, 63, 68, 71, 72, 74, 75, 78, 79], "xyx": 2, "3rd": 2, "typenam": [2, 33, 35, 36, 37, 40, 44, 45, 76, 78], "qualifiedspinop": 2, "struct": [2, 33, 35, 36, 37, 40, 44, 52, 53, 62, 63, 64, 65, 68, 70, 78], "constexpr": [2, 35, 45, 52], "dyn": [2, 45], "qudit": [2, 34, 38, 40], "system": [2, 3, 4, 9, 12, 15, 19, 21, 22, 23, 28, 33, 38, 43, 45, 47, 50, 51, 53, 54, 57, 58, 62, 63, 66, 67, 70, 72, 75, 76, 78, 79], "inlin": [2, 33, 68], "new": [2, 3, 4, 7, 8, 9, 12, 14, 20, 30, 31, 33, 35, 47, 57, 68, 69, 72, 74, 78, 79, 80], "enable_if_t": 2, "qreg": [2, 3, 12, 13, 52], "contain": [2, 3, 4, 9, 10, 13, 17, 20, 30, 31, 33, 38, 40, 43, 47, 52, 54, 57, 58, 62, 63, 68, 71, 72, 78, 79, 80], "dynam": [2, 30, 35, 37, 38, 45, 51, 56, 57, 68, 78], "time": [2, 3, 4, 9, 10, 12, 13, 14, 16, 17, 18, 19, 22, 23, 24, 25, 29, 30, 32, 33, 36, 38, 45, 46, 51, 52, 53, 54, 58, 63, 64, 66, 67, 68, 72, 74, 79], "By": [2, 9, 10, 22, 28, 33, 40, 50, 51, 52, 53, 54, 58, 63, 76], "value_typ": 2, "indic": [2, 3, 4, 8, 20, 37, 40, 41, 45, 50, 71], "underli": [2, 3, 9, 22, 33, 43, 45, 51, 53, 71], "interfac": [2, 3, 45, 54, 71, 72, 74, 76], "idx": [2, 3, 11, 18, 20, 45, 50, 53], "qspan": 2, "front": [2, 36, 44, 45, 65], "back": [2, 20, 36, 45, 47, 53, 63, 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33, 62], "encapsul": [2, 11, 33, 45, 53, 78], "observ": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 17, 19, 21, 22, 25, 27, 36, 50, 51, 53, 54, 55, 57, 62, 64, 65, 66, 67, 71, 79], "call": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 18, 20, 21, 22, 23, 25, 27, 29, 35, 36, 37, 40, 44, 50, 53, 54, 57, 58, 60, 63, 64, 65, 66, 67, 68, 71, 72, 74, 76], "measur": [2, 3, 5, 7, 9, 10, 11, 12, 14, 15, 17, 22, 23, 25, 30, 33, 34, 36, 37, 38, 40, 47, 50, 51, 53, 54, 56, 57, 58, 61, 63, 64, 68, 71, 79], "execut": [2, 4, 9, 14, 20, 29, 30, 31, 32, 33, 35, 37, 38, 43, 44, 50, 51, 53, 54, 57, 58, 59, 61, 62, 63, 64, 66, 68, 71, 74, 75, 76, 78, 79, 80], "ansatz": [2, 4, 6, 9, 13, 21, 22, 33, 36, 52, 53, 62], "circuit": [2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 27, 32, 33, 37, 38, 41, 42, 46, 47, 51, 52, 53, 54, 57, 58, 60, 62, 63, 68, 70], "global": [2, 3, 9, 13, 20, 33, 37, 52, 58, 63, 72], "expect": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 17, 19, 20, 21, 22, 23, 25, 27, 30, 33, 50, 52, 53, 54, 58, 61, 66, 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"quantinuum": [51, 63], "quera": [51, 63], "nvidia": [52, 53], "cloud": [52, 74], "select": 52, "multipl": [52, 62, 66], "qpu": 52, "asynchron": 52, "faq": 52, "processor": [53, 62, 66], "mqpu": 53, "distribut": [53, 74], "mode": [53, 54], "remot": [53, 74], "support": [53, 54, 72, 74], "argument": 53, "serial": 53, "access": [53, 74], "vector": 54, "featur": 54, "environ": 54, "variabl": 54, "option": 54, "node": 54, "addit": [54, 74], "openmp": 54, "cpu": 54, "onli": 54, "product": 54, "clifford": 54, "stim": 54, "fermioniq": 54, "default": 54, "build": [56, 60, 72], "your": [56, 58, 70, 79], "first": [56, 58], "what": 57, "i": 57, "troubleshoot": 59, "debug": 59, "verbos": 59, "output": 59, "expect": 62, "valu": 62, "across": [62, 66], "provid": 63, "workflow": 66, "avail": 66, "batch": 66, "term": 66, "101": 67, "work": 68, "ir": 68, "extend": [69, 71], "own": 70, "pass": 70, "new": 71, "circuitsimul": 71, "requir": [71, 74], "subtyp": 71, "method": 71, "overrid": 71, "let": 71, "see": 71, "thi": 71, "sourc": 72, "prerequisit": 72, "toolchain": [72, 78], "host": [72, 74], "runtim": 72, "guid": 73, "docker": 74, "singular": 74, "wheel": 74, "pre": 74, "binari": [74, 78], "develop": 74, "v": 74, "connect": 74, "tunnel": 74, "ssh": 74, "dgx": 74, "jupyterlab": 74, "tool": [74, 77], "pypi": 74, "In": 74, "imag": 74, "updat": 74, "compat": 74, "system": 74, "next": 74, "step": 74, "cmake": 75, "project": 76, "other": 77, "softwar": 77, "call": 78, "interfac": 78, "between": 78, "differ": 78, "valid": 79, "version": 80}, "envversion": {"sphinx.domains.c": 2, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 8, "sphinx.domains.index": 1, "sphinx.domains.javascript": 2, "sphinx.domains.math": 2, "sphinx.domains.python": 3, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.intersphinx": 1, "nbsphinx": 4, "sphinx": 57}, "alltitles": {"CUDA-Q Backends": [[49, "cuda-q-backends"]], "Backend Targets": [[49, null]], "Specifications": [[46, "specifications"]], "Quantum Intrinsic Operations": [[40, "quantum-intrinsic-operations"]], "Operations on cudaq::qubit": [[40, "operations-on-cudaq-qubit"]], "Quantum Types": [[45, "quantum-types"]], "cudaq::qudit": [[45, "cudaq-qudit-levels"]], "cudaq::qubit": [[45, "cudaq-qubit"]], "Quantum Containers": [[45, "quantum-containers"]], "cudaq::qview": [[45, "cudaq-qview-levels-2"]], "cudaq::qvector": [[45, "cudaq-qvector-levels-2"]], "cudaq::qarray": [[45, "cudaq-qarray-n-levels-2"]], "cudaq::qspan (Deprecated. Use cudaq::qview instead.)": [[45, "cudaq-qspan-n-levels-deprecated-use-cudaq-qview-levels-instead"]], "cudaq::qreg (Deprecated. Use cudaq::qvector instead.)": [[45, "cudaq-qreg-n-levels-deprecated-use-cudaq-qvector-levels-instead"]], "Sub-circuit Synthesis": [[44, "sub-circuit-synthesis"]], "Common Quantum Programming Patterns": [[42, "common-quantum-programming-patterns"]], "Compute-Action-Uncompute": [[42, "compute-action-uncompute"]], "Quake Dialect": [[47, "quake-dialect"]], "General Introduction": [[47, "general-introduction"]], "Motivation": [[47, "motivation"]], "CUDA-Q Applications": [[48, "cuda-q-applications"]], "Quantum Operators": [[41, "quantum-operators"]], "cudaq::spin_op": [[41, "cudaq-spin-op"]], "Quantum Platform": [[43, "quantum-platform"]], "Control Flow": [[34, "control-flow"]], "Namespace and Standard": [[39, "namespace-and-standard"]], "Quantum Algorithmic Primitives": [[33, "quantum-algorithmic-primitives"]], "cudaq::sample": [[33, "cudaq-sample"]], "cudaq::observe": [[33, "cudaq-observe"]], "cudaq::optimizer (deprecated, functionality moved to CUDA-Q libraries)": [[33, "cudaq-optimizer-deprecated-functionality-moved-to-cuda-q-libraries"]], "cudaq::gradient (deprecated, functionality moved to CUDA-Q libraries)": [[33, "cudaq-gradient-deprecated-functionality-moved-to-cuda-q-libraries"]], "Example Programs": [[36, "example-programs"]], "Hello World - Simple Bell State": [[36, "hello-world-simple-bell-state"]], "GHZ State Preparation and Sampling": [[36, "ghz-state-preparation-and-sampling"]], "Quantum Phase Estimation": [[36, "quantum-phase-estimation"]], "Deuteron Binding Energy Parameter Sweep": [[36, "deuteron-binding-energy-parameter-sweep"]], "Grover\u2019s Algorithm": [[36, "grover-s-algorithm"]], "Iterative Phase Estimation": [[36, "iterative-phase-estimation"]], "CUDA-Q": [[30, "cuda-q"], [32, null]], "Contents": [[30, null], [73, null], [55, null]], "Machine Model": [[38, "machine-model"]], "Quantum Kernels": [[37, "quantum-kernels"]], "Just-in-Time Kernel Creation": [[35, "just-in-time-kernel-creation"]], "CUDA-Q Releases": [[31, "cuda-q-releases"]], "Language Specification": [[32, "language-specification"]], "Quantum Computing 101": [[67, "quantum-computing-101"]], "Quantum States": [[67, "quantum-states"]], "Quantum Gates": [[67, "quantum-gates"]], "Measurements": [[67, "measurements"], [24, "Measurements"]], "Computing Expectation Values": [[62, "computing-expectation-values"]], "Parallelizing across Multiple Processors": [[62, "parallelizing-across-multiple-processors"]], "Using Quantum Hardware Providers": [[63, "using-quantum-hardware-providers"]], "Amazon Braket": [[63, "amazon-braket"], [51, "amazon-braket"]], "IonQ": [[63, "ionq"], [51, "ionq"]], "IQM": [[63, "iqm"], [51, "iqm"]], "OQC": [[63, "oqc"], [51, "oqc"]], "ORCA Computing": [[63, "orca-computing"], [51, "orca-computing"]], "Quantinuum": [[63, "quantinuum"], [51, "quantinuum"]], "QuEra Computing": [[63, "quera-computing"], [51, "quera-computing"]], "Extending CUDA-Q": [[69, "extending-cuda-q"]], "Multi-control Synthesis": [[65, "multi-control-synthesis"]], "CUDA-Q by Example": [[61, "cuda-q-by-example"]], "Multi-GPU Workflows": [[66, "multi-gpu-workflows"]], "Available Targets": [[66, "available-targets"]], "Parallelization across Multiple Processors": [[66, "parallelization-across-multiple-processors"]], "Batching Hamiltonian Terms": [[66, "batching-hamiltonian-terms"]], "Circuit Batching": [[66, "circuit-batching"]], "Building Kernels": [[60, "building-kernels"]], "Working with the CUDA-Q IR": [[68, "working-with-the-cuda-q-ir"]], "Introduction": [[64, "introduction"], [74, "introduction"]], "CUDA-Q Versions": [[80, "cuda-q-versions"]], "Local Installation": [[74, "local-installation"]], "Docker": [[74, "docker"]], "Singularity": [[74, "singularity"]], "Python wheels": [[74, "python-wheels"]], "Pre-built binaries": [[74, "pre-built-binaries"]], "Development with VS Code": [[74, "development-with-vs-code"]], "Using a Docker container": [[74, "using-a-docker-container"]], "Using a Singularity container": [[74, "using-a-singularity-container"]], "Connecting to a Remote Host": [[74, "connecting-to-a-remote-host"]], "Developing with Remote Tunnels": [[74, "developing-with-remote-tunnels"]], "Remote Access via SSH": [[74, "remote-access-via-ssh"]], "DGX Cloud": [[74, "dgx-cloud"]], "Get Started": [[74, "get-started"]], "Use JupyterLab": [[74, "use-jupyterlab"]], "Use VS Code": [[74, "use-vs-code"]], "Additional CUDA Tools": [[74, "additional-cuda-tools"]], "Installation via PyPI": [[74, "installation-via-pypi"]], "Installation In Container Images": [[74, "installation-in-container-images"]], "Installing Pre-built Binaries": [[74, "installing-pre-built-binaries"]], "Distributed Computing with MPI": [[74, "distributed-computing-with-mpi"]], "Updating CUDA-Q": [[74, "updating-cuda-q"]], "Dependencies and Compatibility": [[74, "dependencies-and-compatibility"]], "Supported Systems": [[74, "id10"]], "Requirements for GPU Simulation": [[74, "id11"]], "Next Steps": [[74, "next-steps"]], "CUDA-Q and CMake": [[75, "cuda-q-and-cmake"]], "Extending CUDA-Q with a new Simulator": [[71, "extending-cuda-q-with-a-new-simulator"]], "CircuitSimulator": [[71, "circuitsimulator"]], "Required Circuit Simulator Subtype Method Overrides": [[71, "id1"]], "Let\u2019s see this in action": [[71, "let-s-see-this-in-action"]], "Integration with other Software Tools": [[77, "integration-with-other-software-tools"]], "Integrating with Third-Party Libraries": [[78, "integrating-with-third-party-libraries"]], "Calling a CUDA-Q library from C++": [[78, "calling-a-cuda-q-library-from-c"]], "Calling an C++ library from CUDA-Q": [[78, "calling-an-c-library-from-cuda-q"]], "Interfacing between binaries compiled with a different toolchains": [[78, "interfacing-between-binaries-compiled-with-a-different-toolchains"]], "Quick Start": [[79, "quick-start"], [52, "quick-start"], [50, "quick-start"]], "Install CUDA-Q": [[79, "install-cuda-q"]], "Validate your Installation": [[79, "validate-your-installation"]], "Installation from Source": [[72, "installation-from-source"]], "Prerequisites": [[72, "prerequisites"]], "Build Dependencies": [[72, "build-dependencies"]], "CUDA": [[72, "cuda"]], "Toolchain": [[72, "toolchain"]], "Building CUDA-Q": [[72, "building-cuda-q"]], "Python Support": [[72, "python-support"]], "C++ Support": [[72, "c-support"]], "Installation on the Host": [[72, "installation-on-the-host"]], "CUDA Runtime Libraries": [[72, "cuda-runtime-libraries"]], "MPI": [[72, "mpi"]], "Create your own CUDA-Q Compiler Pass": [[70, "create-your-own-cuda-q-compiler-pass"]], "Installation Guide": [[73, "installation-guide"]], "Using CUDA and CUDA-Q in a Project": [[76, "using-cuda-and-cuda-q-in-a-project"]], "CUDA-Q Simulation Backends": [[54, "cuda-q-simulation-backends"]], "State Vector Simulators": [[54, "state-vector-simulators"]], "Features": [[54, "features"]], "Single-GPU": [[54, "single-gpu"]], "Environment variable options supported in single-GPU mode": [[54, "id4"]], "Multi-node multi-GPU": [[54, "multi-node-multi-gpu"], [54, "id2"]], "Additional environment variable options for multi-node multi-GPU mode": [[54, "id5"]], "OpenMP CPU-only": [[54, "openmp-cpu-only"]], "Tensor Network Simulators": [[54, "tensor-network-simulators"]], "Matrix product state": [[54, "matrix-product-state"]], "Clifford-Only Simulator": [[54, "clifford-only-simulator"]], "Stim (CPU)": [[54, "stim-cpu"]], "Fermioniq": [[54, "fermioniq"]], "Default Simulator": [[54, "default-simulator"]], "Building your first CUDA-Q Program": [[56, "building-your-first-cuda-q-program"]], "Multi-Processor Platforms": [[53, "multi-processor-platforms"]], "NVIDIA MQPU Platform": [[53, "nvidia-mqpu-platform"]], "Parallel distribution mode": [[53, "parallel-distribution-mode"]], "Remote MQPU Platform": [[53, "remote-mqpu-platform"]], "Supported Kernel Arguments": [[53, "supported-kernel-arguments"]], "Kernel argument serialization": [[53, "id4"]], "Accessing Simulated Quantum State": [[53, "accessing-simulated-quantum-state"]], "NVIDIA Quantum Cloud": [[52, "nvidia-quantum-cloud"]], "Simulator Backend Selection": [[52, "simulator-backend-selection"]], "Multiple GPUs": [[52, "multiple-gpus"]], "Simulator Backends": [[52, "id1"]], "Multiple QPUs Asynchronous Execution": [[52, "multiple-qpus-asynchronous-execution"]], "FAQ": [[52, "faq"]], "CUDA-Q Basics": [[55, "cuda-q-basics"]], "CUDA-Q Hardware Backends": [[51, "cuda-q-hardware-backends"]], "Setting Credentials": [[51, "setting-credentials"], [51, "ionq-backend"], [51, "anyon-backend"], [51, "id7"], [51, "id10"], [51, "id13"], [51, "quantinuum-backend"], [51, "quera-backend"]], "Submission from C++": [[51, "submission-from-c"], [51, "id2"], [51, "id5"], [51, "id8"], [51, "id11"], [51, "id14"], [51, "id17"], [51, "id20"]], "Submission from Python": [[51, "submission-from-python"], [51, "id3"], [51, "id6"], [51, "id9"], [51, "id12"], [51, "id15"], [51, "id18"], [51, "id21"]], "Anyon Technologies/Anyon Computing": [[51, "anyon-technologies-anyon-computing"]], "CUDA-Q Dynamics": [[50, "cuda-q-dynamics"]], "Operator": [[50, "operator"]], "Builtin Operators": [[50, "id1"]], "Time-Dependent Dynamics": [[50, "time-dependent-dynamics"]], "Numerical Integrators": [[50, "numerical-integrators"], [50, "id2"]], "Running your first CUDA-Q Program": [[58, "running-your-first-cuda-q-program"]], "Sample": [[58, "sample"], [23, "Sample"]], "Observe": [[58, "observe"], [23, "Observe"]], "Running on a GPU": [[58, "running-on-a-gpu"]], "What is a CUDA-Q kernel?": [[57, "what-is-a-cuda-q-kernel"]], "Troubleshooting": [[59, "troubleshooting"]], "Debugging and Verbose Simulation Output": [[59, "debugging-and-verbose-simulation-output"]], "VQE with gradients, active spaces, and gate fusion": [[22, "VQE-with-gradients,-active-spaces,-and-gate-fusion"]], "The Basics of VQE": [[22, "The-Basics-of-VQE"]], "Installing/Loading Relevant Packages": [[22, "Installing/Loading-Relevant-Packages"]], "Implementing VQE in CUDA-Q": [[22, "Implementing-VQE-in-CUDA-Q"]], "Parallel Parameter Shift Gradients": [[22, "Parallel-Parameter-Shift-Gradients"], [27, "Parallel-Parameter-Shift-Gradients"]], "Using an Active Space": [[22, "Using-an-Active-Space"]], "Gate Fusion for Larger Circuits": [[22, "Gate-Fusion-for-Larger-Circuits"]], "Visualization": [[29, "Visualization"]], "Qubit Visualization": [[29, "Qubit-Visualization"]], "Kernel Visualization": [[29, "Kernel-Visualization"]], "Compiling Unitaries Using Diffusion Models": [[20, "Compiling-Unitaries-Using-Diffusion-Models"]], "Diffusion model pipeline": [[20, "Diffusion-model-pipeline"]], "Setup and compilation": [[20, "Setup-and-compilation"]], "Load model": [[20, "Load-model"]], "Unitary compilation": [[20, "Unitary-compilation"]], "Convert tensors to CUDA-Q": [[20, "Convert-tensors-to-CUDA-Q"]], "Evaluate generated circuits": [[20, "Evaluate-generated-circuits"]], "Simulate kernels": [[20, "Simulate-kernels"]], "Compare unitaries": [[20, "Compare-unitaries"]], "Choosing the circuit you need": [[20, "Choosing-the-circuit-you-need"]], "Noisy Simulation": [[25, "Noisy-Simulation"], [3, "noisy-simulation"]], "Operators": [[26, "Operators"], [2, "operators"]], "Constructing Spin Operators": [[26, "Constructing-Spin-Operators"]], "Pauli Words and Exponentiating Pauli Words": [[26, "Pauli-Words-and-Exponentiating-Pauli-Words"]], "Variational Quantum Eigensolver": [[21, "Variational-Quantum-Eigensolver"]], "Using CUDA-Q Optimizers": [[21, "Using-CUDA-Q-Optimizers"]], "Integration with Third-Party Optimizers": [[21, "Integration-with-Third-Party-Optimizers"]], "Optimizing Performance": [[28, "Optimizing-Performance"]], "Gate Fusion": [[28, "Gate-Fusion"]], "Executing Quantum Circuits": [[23, "Executing-Quantum-Circuits"]], "Get state": [[23, "Get-state"]], "Parallelization Techniques": [[23, "Parallelization-Techniques"]], "Observe Async": [[23, "Observe-Async"]], "Sample Async": [[23, "Sample-Async"]], "Get State Async": [[23, "Get-State-Async"]], "Midcircuit Measurement and Conditional Logic": [[24, "Midcircuit-Measurement-and-Conditional-Logic"]], "Optimizers and Gradients": [[27, "Optimizers-and-Gradients"]], "Built in CUDA-Q Optimizers and Gradients": [[27, "Built-in-CUDA-Q-Optimizers-and-Gradients"]], "Third-Party Optimizers": [[27, "Third-Party-Optimizers"]], "Quantum Volume": [[16, "Quantum-Volume"]], "Readout Error Mitigation": [[17, "Readout-Error-Mitigation"]], "Inverse confusion matrix from single-qubit noise model": [[17, "Inverse-confusion-matrix-from-single-qubit-noise-model"]], "Inverse confusion matrix from k local confusion matrices": [[17, "Inverse-confusion-matrix-from-k-local-confusion-matrices"]], "Inverse of full confusion matrix": [[17, "Inverse-of-full-confusion-matrix"]], "Using the Hadamard Test to Determine Quantum Krylov Subspace Decomposition Matrix Elements": [[10, "Using-the-Hadamard-Test-to-Determine-Quantum-Krylov-Subspace-Decomposition-Matrix-Elements"]], "Numerical result as a reference:": [[10, "Numerical-result-as-a-reference:"]], "Using Sample to perform the Hadamard test": [[10, "Using-Sample-to-perform-the-Hadamard-test"]], "Multi-GPU evaluation of QKSD matrix elements using the Hadamard Test": [[10, "Multi-GPU-evaluation-of-QKSD-matrix-elements-using-the-Hadamard-Test"]], "Classically Diagonalize the Subspace Matrix": [[10, "Classically-Diagonalize-the-Subspace-Matrix"]], "Quantum Fourier Transform": [[14, "Quantum-Fourier-Transform"]], "Quantum Fourier Transform revisited": [[14, "Quantum-Fourier-Transform-revisited"]], "Quantum Teleporation": [[15, "Quantum-Teleporation"]], "Teleportation explained": [[15, "Teleportation-explained"]], "Max-Cut with QAOA": [[13, "Max-Cut-with-QAOA"]], "Multi-reference Quantum Krylov Algorithm - H_2 Molecule": [[12, "Multi-reference-Quantum-Krylov-Algorithm---H_2-Molecule"]], "Setup": [[12, "Setup"]], "Computing the matrix elements": [[12, "Computing-the-matrix-elements"]], "Determining the ground state energy of the Subspace": [[12, "Determining-the-ground-state-energy-of-the-Subspace"]], "Factoring Integers With Shor\u2019s Algorithm": [[18, "Factoring-Integers-With-Shor's-Algorithm"]], "Shor\u2019s algorithm": [[18, "Shor's-algorithm"]], "Solving the order-finding problem classically": [[18, "Solving-the-order-finding-problem-classically"]], "Solving the order-finding problem with a quantum algorithm": [[18, "Solving-the-order-finding-problem-with-a-quantum-algorithm"]], "Inverse quantum Fourier transform": [[18, "Inverse-quantum-Fourier-transform"]], "Quantum kernels for modular exponentiation": [[18, "Quantum-kernels-for-modular-exponentiation"]], "The case N = 21 and a = 5:": [[18, "The-case-N-=-21-and-a-=-5:"]], "The case N = 21 and a = 4:": [[18, "The-case-N-=-21-and-a-=-4:"]], "Determining the order from the measurement results of the phase kernel": [[18, "Determining-the-order-from-the-measurement-results-of-the-phase-kernel"]], "Postscript": [[18, "Postscript"]], "Hybrid Quantum Neural Networks": [[11, "Hybrid-Quantum-Neural-Networks"]], "Computing Magnetization With The Suzuki-Trotter Approximation": [[19, "Computing-Magnetization-With-The-Suzuki-Trotter-Approximation"]], "Problem Setup": [[19, "Problem-Setup"]], "Running the Simulation": [[19, "Running-the-Simulation"]], "CUDA-Q C++ API": [[2, "cuda-q-c-api"]], "Quantum": [[2, "quantum"]], "Common": [[2, "common"]], "Noise Modeling": [[2, "noise-modeling"]], "Kernel Builder": [[2, "kernel-builder"]], "Algorithms": [[2, "algorithms"]], "Platform": [[2, "platform"]], "Utilities": [[2, "utilities"]], "Namespaces": [[2, "namespaces"]], "Molecular docking via DC-QAOA": [[8, "Molecular-docking-via-DC-QAOA"]], "Setting up the Molecular Docking Problem": [[8, "Setting-up-the-Molecular-Docking-Problem"]], "CUDA-Q Implementation": [[8, "CUDA-Q-Implementation"]], "Divisive Clustering With Coresets Using CUDA-Q": [[9, "Divisive-Clustering-With-Coresets-Using-CUDA-Q"]], "Data preprocessing": [[9, "Data-preprocessing"]], "Quantum 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35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 50, 52, 53, 54, 56, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 74, 75, 76, 79, 80], "python": [0, 1, 2, 9, 22, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 44, 45, 48, 50, 52, 53, 54, 56, 58, 59, 60, 61, 62, 63, 64, 65, 71, 78, 79, 80], "quantum": [0, 3, 8, 13, 17, 19, 20, 22, 24, 25, 26, 27, 29, 30, 31, 32, 34, 35, 38, 44, 46, 47, 49, 50, 51, 54, 56, 57, 58, 60, 61, 62, 64, 66, 68, 71, 72, 74, 75, 76, 78, 79, 80], "oper": [0, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 22, 23, 24, 25, 27, 28, 29, 30, 32, 33, 35, 36, 37, 38, 42, 44, 45, 46, 47, 51, 52, 54, 56, 58, 60, 61, 62, 63, 64, 65, 67, 68, 70, 71, 72, 74, 79], "cuda": [1, 6, 7, 10, 11, 12, 13, 14, 16, 19, 23, 25, 28, 29, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 52, 53, 59, 60, 62, 63, 64, 65, 66, 67, 77], "q": [1, 6, 7, 10, 11, 12, 13, 14, 16, 17, 18, 19, 23, 24, 25, 26, 28, 29, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 52, 53, 59, 60, 62, 63, 64, 65, 66, 67, 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58, 60, 61, 62, 64, 66, 67, 68, 70, 71, 72, 75, 78, 79, 80], "kernel": [1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 21, 22, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 36, 38, 40, 41, 42, 43, 44, 45, 46, 51, 52, 54, 55, 56, 58, 61, 62, 63, 64, 65, 66, 67, 68, 76, 78, 79, 80], "librari": [1, 2, 8, 11, 18, 21, 29, 30, 31, 32, 36, 37, 39, 44, 45, 50, 54, 62, 68, 70, 71, 74, 76, 77, 80], "sinc": [1, 2, 4, 5, 7, 13, 14, 15, 17, 18, 20, 23, 45, 49, 53, 54, 57, 62, 63, 66, 68, 74, 75, 78], "intrins": [1, 37, 44, 45, 47], "nativ": [1, 32, 38, 40, 41, 75], "support": [1, 2, 3, 4, 7, 17, 23, 29, 30, 31, 32, 37, 38, 40, 42, 45, 50, 51, 57, 58, 63, 64, 67, 70, 78, 79, 80], "specif": [1, 2, 3, 9, 12, 20, 24, 30, 33, 37, 39, 40, 41, 42, 45, 47, 50, 51, 52, 53, 54, 57, 58, 60, 64, 67, 68, 71, 72, 74, 76, 78], "target": [1, 2, 3, 7, 8, 9, 10, 11, 12, 13, 22, 23, 25, 28, 29, 31, 33, 40, 43, 47, 50, 51, 52, 53, 54, 58, 60, 62, 63, 65, 67, 68, 70, 71, 72, 74, 79, 80], "depend": [1, 3, 7, 9, 12, 13, 15, 18, 19, 20, 24, 28, 30, 33, 38, 47, 52, 53, 54, 78, 79], "backend": [1, 2, 5, 6, 8, 9, 10, 16, 22, 27, 28, 30, 31, 33, 50, 53, 58, 63, 66, 68, 71, 72, 74, 78, 79, 80], "architectur": [1, 2, 11, 30, 32, 38, 47, 51, 53, 63, 66, 67, 71, 72, 74, 79], "nvq": [1, 33, 36, 51, 52, 53, 54, 58, 62, 63, 64, 65, 68, 71, 74, 75, 76, 78, 79], "compil": [1, 2, 3, 9, 30, 32, 33, 36, 37, 38, 42, 44, 45, 51, 52, 53, 54, 58, 62, 63, 64, 65, 68, 71, 72, 74, 75, 76, 79], "automat": [1, 3, 22, 38, 51, 53, 54, 63, 72, 74, 78], "decompos": [1, 4, 16, 20], "appropri": [1, 2, 7, 8, 9, 14, 15, 32, 40, 53, 60, 72, 74], "The": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 58, 60, 62, 63, 64, 66, 67, 68, 70, 71, 72, 74, 76, 78, 79, 80], "section": [1, 7, 8, 10, 14, 18, 20, 22, 26, 28, 35, 53, 54, 60, 72, 74, 78, 79], "list": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 26, 27, 29, 31, 33, 37, 49, 50, 51, 52, 54, 60, 63, 66, 67, 72, 74, 78, 79, 80], "implement": [1, 2, 3, 4, 7, 10, 12, 13, 14, 15, 16, 18, 19, 20, 25, 32, 33, 38, 39, 40, 42, 44, 45, 47, 51, 54, 63, 64, 68, 70, 71, 72, 74, 78], "transform": [1, 4, 7, 11, 12, 20, 22, 30, 32, 36, 68, 70], "state": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 29, 31, 33, 37, 38, 40, 45, 47, 50, 51, 52, 56, 58, 60, 62, 63, 64, 66, 71, 72, 78, 79, 80], "ar": [1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 40, 42, 44, 45, 46, 47, 50, 51, 52, 53, 54, 57, 58, 60, 61, 62, 63, 64, 66, 67, 68, 71, 72, 74, 76, 78, 79, 80], "templat": [1, 2, 21, 33, 35, 36, 37, 40, 44, 45, 64, 68, 70, 71, 76, 78], "argument": [1, 2, 3, 7, 9, 13, 15, 17, 23, 24, 29, 33, 35, 37, 44, 45, 50, 51, 56, 58, 62, 65, 66, 68, 71, 74, 78], "allow": [1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 15, 19, 20, 22, 23, 27, 31, 33, 35, 37, 38, 50, 54, 56, 57, 58, 65, 66, 67, 68, 70, 74, 75, 80], "invok": [1, 2, 3, 33, 35, 37, 42, 51, 54, 64, 68, 78], "version": [1, 3, 4, 5, 7, 11, 13, 14, 18, 20, 23, 30, 31, 33, 42, 49, 50, 51, 52, 53, 54, 58, 68, 71, 72, 74, 75, 78, 79], "see": [1, 2, 3, 5, 6, 7, 8, 9, 14, 15, 16, 18, 20, 22, 28, 29, 31, 33, 35, 37, 45, 47, 49, 50, 51, 52, 53, 54, 56, 58, 64, 66, 67, 68, 70, 72, 74, 75, 76, 78, 79, 80], "addition": [1, 18, 31, 74, 80], "overload": [1, 3, 33, 40, 41, 45, 47], "broadcast": [1, 2, 3, 12, 13, 40], "singl": [1, 2, 3, 4, 5, 9, 12, 14, 15, 16, 19, 21, 22, 28, 29, 33, 36, 37, 38, 40, 45, 50, 51, 52, 53, 58, 60, 62, 63, 64, 66, 67, 68, 78], "across": [1, 2, 3, 7, 10, 20, 22, 31, 40, 52, 53, 54, 63, 72, 74, 80], "vector": [1, 2, 3, 4, 6, 9, 10, 11, 12, 15, 16, 20, 29, 33, 35, 36, 37, 40, 43, 45, 47, 51, 52, 53, 60, 63, 64, 65, 66, 71, 72], "For": [1, 2, 3, 4, 5, 7, 9, 10, 13, 14, 16, 17, 18, 20, 26, 29, 31, 33, 35, 40, 47, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 63, 65, 66, 67, 71, 72, 74, 76, 78, 79, 80], "exampl": [1, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 40, 46, 47, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 66, 67, 70, 71, 72, 74, 75, 76, 78, 79, 80], "cudaq": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 34, 35, 36, 37, 39, 42, 43, 44, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 78, 79], "qvector": [1, 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 33, 36, 37, 40, 44, 52, 53, 56, 58, 60, 62, 63, 65, 66, 67, 68, 78, 79], "flip": [1, 2, 3, 6, 16, 17, 25, 67], "each": [1, 2, 3, 5, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 22, 23, 27, 29, 31, 33, 35, 38, 43, 47, 50, 51, 52, 53, 54, 58, 63, 66, 67, 68, 72, 74, 78, 79, 80], "thi": [1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 32, 33, 35, 36, 37, 38, 39, 40, 42, 45, 47, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 72, 74, 75, 76, 78, 79], "pauli": [1, 2, 3, 8, 9, 10, 12, 13, 15, 19, 23, 33, 41, 50, 58, 67], "matrix": [1, 2, 3, 4, 13, 15, 16, 19, 20, 23, 25, 29, 30, 31, 49, 50, 52, 60, 67, 71, 80], "It": [1, 2, 4, 7, 9, 14, 15, 16, 17, 19, 22, 30, 31, 33, 40, 45, 47, 50, 53, 58, 60, 63, 67, 68, 71, 74, 76, 79, 80], "i": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 45, 47, 49, 50, 51, 52, 53, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "also": [1, 2, 3, 7, 9, 14, 17, 18, 20, 21, 23, 25, 27, 29, 31, 33, 37, 41, 50, 51, 52, 53, 54, 56, 57, 58, 60, 63, 66, 67, 68, 70, 71, 72, 74, 76, 79, 80], "known": [1, 2, 18, 20, 22, 37, 64, 68], "NOT": [1, 33, 40, 67], "gate": [1, 2, 3, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 25, 29, 30, 31, 40, 44, 45, 47, 51, 54, 56, 60, 64, 65, 71, 80], "appli": [1, 2, 3, 5, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 25, 26, 33, 36, 37, 40, 44, 47, 52, 53, 56, 60, 63, 64, 65, 67, 68, 71], "0": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 35, 36, 37, 40, 41, 42, 43, 45, 47, 49, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 72, 74, 76, 78, 79, 80], "1": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 71, 72, 74, 78, 79, 80], "rotat": [1, 3, 9, 10, 13, 14, 17, 18, 25, 29, 40, 41, 56, 62, 71], "\u03c0": 1, "about": [1, 2, 3, 7, 9, 17, 18, 19, 20, 21, 29, 31, 33, 47, 50, 51, 52, 53, 54, 57, 58, 63, 66, 72, 74, 76, 77, 78, 79, 80], "axi": [1, 11, 20, 21, 29], "enabl": [1, 2, 3, 5, 9, 14, 23, 32, 33, 35, 37, 38, 40, 42, 43, 44, 45, 49, 50, 51, 53, 54, 57, 58, 62, 63, 66, 68, 71, 72, 74, 78, 79], "one": [1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 18, 19, 20, 22, 23, 29, 31, 33, 35, 36, 38, 40, 43, 47, 50, 51, 52, 53, 54, 59, 60, 62, 63, 65, 66, 67, 68, 70, 71, 72, 74, 78, 79, 80], "superposit": [1, 5, 7, 13, 29, 33, 36, 45, 53, 56, 58, 67], "comput": [1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 23, 25, 27, 29, 30, 32, 33, 35, 36, 37, 43, 45, 47, 52, 53, 54, 57, 58, 61, 66, 71, 72, 76, 78, 79], "basi": [1, 2, 3, 4, 10, 12, 14, 17, 20, 22, 23, 24, 25, 45, 52, 53, 67], "sqrt": [1, 3, 5, 7, 10, 12, 14, 15, 17, 25, 29, 36, 50, 63, 67, 79], "2": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 47, 50, 51, 52, 53, 54, 58, 60, 62, 63, 65, 66, 67, 68, 72, 74, 76, 78, 79, 80], "an": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 74, 76, 79, 80], "arbitrari": [1, 2, 3, 20, 50, 51, 65, 78], "\u03bb": 1, "exp": [1, 2, 12, 18, 36, 41, 50], "i\u03bb": 1, "math": [1, 4, 7, 18, 52], "pi": [1, 8, 9, 11, 13, 14, 16, 18, 19, 21, 22, 27, 29, 36, 37, 42, 44, 50, 51, 52, 63], "std": [1, 2, 3, 33, 35, 36, 37, 40, 41, 43, 44, 45, 52, 53, 58, 63, 64, 66, 70, 71, 76, 78], "number": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 23, 26, 27, 29, 33, 36, 41, 43, 45, 47, 50, 51, 52, 53, 54, 56, 58, 62, 63, 64, 65, 66, 67, 68, 71, 74, 79], "\u03b8": 1, "co": [1, 14, 19, 29, 50], "isin": 1, "sin": [1, 14, 29], "its": [1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 25, 31, 32, 33, 43, 45, 47, 48, 52, 53, 54, 58, 60, 63, 64, 67, 68, 71, 72, 74, 78, 79, 80], "4": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 51, 52, 53, 54, 60, 63, 66, 68, 72, 74, 78, 80], "i\u03c0": 1, "two": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 20, 22, 25, 27, 29, 38, 47, 50, 51, 53, 54, 58, 60, 62, 63, 65, 67, 74, 78], "qubit_1": [1, 7, 13, 60], "qubit_2": [1, 15], "univers": [1, 2, 9, 15, 20, 52, 67], "three": [1, 10, 17, 18, 20, 22, 38, 51, 52, 62], "paramet": [1, 2, 3, 6, 8, 9, 11, 12, 13, 16, 18, 20, 21, 23, 33, 37, 40, 45, 50, 51, 52, 54, 56, 60, 62, 63, 64, 66, 71, 72], "euler": [1, 50], "angl": [1, 2, 3, 6, 10, 14, 17, 18, 27, 29, 36, 37, 40, 53, 56, 62, 63], "theta": [1, 8, 9, 10, 11, 13, 14, 21, 22, 25, 27, 29, 33, 35, 36, 52, 53, 60, 62], "phi": [1, 3, 4, 10, 33, 35, 51, 63, 68], "\u03c6": 1, "lambda": [1, 2, 8, 9, 12, 13, 17, 18, 19, 22, 27, 33, 36, 37, 42, 50, 63, 65, 66, 68], "i\u03c6": 1, "np": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 36, 37, 42, 44, 50, 51, 53, 54, 60, 63, 66, 72], "m_pi": [1, 36, 44, 63], "m_pi_2": [1, 36, 37, 52], "adj": [1, 40, 60], "method": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 17, 18, 19, 20, 21, 22, 26, 27, 33, 35, 40, 45, 50, 51, 53, 54, 58, 60, 64], "ani": [1, 2, 3, 9, 12, 13, 18, 19, 20, 22, 23, 25, 27, 29, 33, 37, 39, 40, 42, 44, 45, 50, 51, 52, 54, 56, 58, 59, 60, 63, 64, 65, 71, 72, 74, 78, 79], "alloc": [1, 2, 3, 6, 13, 20, 33, 35, 36, 37, 38, 45, 53, 54, 56, 58, 64, 65, 71], "now": [1, 4, 5, 7, 9, 10, 13, 14, 15, 18, 20, 21, 22, 31, 47, 58, 63, 64, 65, 66, 74, 79, 80], "again": [1, 5, 22, 23, 33, 47, 74, 76], "initi": [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 15, 18, 19, 21, 22, 27, 33, 50, 51, 53, 60, 63, 66, 67, 72, 74], "ctrl": [1, 2, 5, 7, 13, 16, 18, 23, 27, 29, 33, 35, 36, 40, 52, 53, 56, 60, 62, 63, 64, 65, 67, 68, 74, 79], "condit": [1, 2, 14, 15, 20, 25, 33, 34, 35, 37, 38, 54, 57, 67, 68], "more": [1, 2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 18, 20, 22, 26, 29, 31, 35, 38, 40, 41, 47, 51, 52, 53, 54, 57, 58, 60, 63, 66, 67, 72, 74, 76, 78, 79, 80], "wikipedia": [1, 50], "entri": [1, 3, 12, 33, 37, 53, 60, 63, 68, 74, 78], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 4, 9, 15, 23, 25, 27, 58, 66, 67, 78, 79], "11": [1, 3, 4, 9, 11, 15, 16, 17, 19, 20, 22, 23, 25, 27, 29, 33, 58, 66, 67, 68, 72, 74, 78, 79], "onli": [1, 2, 3, 5, 9, 15, 17, 18, 20, 22, 23, 24, 29, 33, 37, 38, 42, 45, 47, 50, 51, 52, 53, 57, 63, 67, 68, 70, 72, 74, 78, 79], "both": [1, 3, 4, 5, 7, 11, 18, 38, 47, 51, 53, 54, 67, 72, 74, 76], "000": [1, 14, 15, 17, 18, 52, 58], "111": [1, 9, 14, 15, 17, 18], "follow": [1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 20, 22, 23, 24, 26, 27, 29, 31, 33, 35, 37, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "common": [1, 3, 9, 10, 17, 18, 20, 21, 22, 33, 37, 40, 41, 68, 72], "convent": [1, 8, 11, 13, 23], "all": [1, 2, 3, 9, 15, 16, 17, 18, 19, 20, 22, 23, 27, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 45, 47, 51, 52, 53, 54, 58, 60, 62, 63, 66, 67, 68, 72, 74, 75, 76, 78, 79, 80], "howev": [1, 4, 9, 14, 15, 17, 20, 22, 23, 47, 50, 51, 53, 78], "behavior": [1, 2, 3, 9, 22, 54], "chang": [1, 2, 5, 9, 14, 18, 28, 31, 33, 37, 50, 58, 74, 79, 80], "instead": [1, 2, 4, 9, 25, 39, 42, 53, 54, 58, 72, 74, 78], "when": [1, 2, 3, 9, 12, 13, 17, 18, 20, 33, 38, 45, 47, 52, 53, 54, 58, 62, 63, 64, 68, 71, 72, 74, 78, 79], "negat": [1, 2, 3, 40, 44, 45], "polar": [1, 40, 44, 54], "syntax": [1, 9, 31, 32, 37, 38, 40, 42, 51, 60, 63, 76, 80], "preced": [1, 40, 51], "01": [1, 4, 7, 15, 20, 25, 27, 67], "10": [1, 4, 7, 9, 10, 11, 12, 13, 15, 16, 17, 19, 20, 22, 25, 27, 29, 33, 36, 37, 54, 58, 60, 63, 64, 66, 67, 68, 72, 74, 76], "notat": [1, 15, 67], "context": [1, 2, 11, 38, 53, 54, 71], "valid": [1, 2, 3, 30, 37, 51, 54, 60, 63, 72, 74, 78], "either": [1, 7, 11, 13, 18, 38, 51, 53, 54, 63, 67, 72, 74, 79], "similarli": [1, 7, 22, 53, 59, 67], "condition": 1, "respect": [1, 2, 3, 4, 8, 13, 18, 22, 27, 33, 50, 51, 53, 58, 62, 66, 67, 72, 74, 79], "e": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 26, 29, 32, 33, 34, 36, 37, 38, 39, 40, 41, 47, 50, 51, 52, 53, 54, 63, 68, 71, 72, 74, 78, 79], "project": [1, 54, 71, 72, 74, 75, 78], "onto": [1, 67], "eigenvector": [1, 2, 10, 12], "non": [1, 2, 3, 8, 10, 12, 17, 18, 33, 37, 38, 45, 53, 54, 58, 62, 64], "linear": [1, 5, 9, 11, 12, 14, 21, 25, 52, 58, 63, 67], "avail": [1, 2, 3, 8, 9, 10, 20, 22, 27, 30, 31, 32, 33, 37, 38, 40, 43, 44, 45, 46, 49, 51, 52, 53, 54, 57, 58, 60, 61, 62, 63, 68, 72, 74, 79, 80], "first": [1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 27, 29, 30, 33, 45, 51, 52, 53, 54, 55, 60, 62, 63, 64, 65, 68, 74, 79], "api": [1, 23, 26, 29, 30, 33, 35, 39, 40, 43, 45, 50, 51, 52, 53, 54, 58, 60, 64, 71, 72, 74, 76, 78], "regist": [1, 2, 3, 5, 10, 14, 18, 21, 24, 33, 36, 38, 45, 51, 53, 60, 63, 64, 65, 68, 71], "outsid": [1, 9, 74, 78], "Then": [1, 17, 20, 24, 51, 63, 70, 71], "within": [1, 2, 3, 21, 33, 37, 39, 41, 45, 51, 53, 54, 57, 58, 60, 63, 64, 67, 70, 72, 74, 75, 76, 78, 79], "like": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 21, 22, 23, 27, 28, 31, 33, 37, 45, 51, 53, 58, 60, 63, 64, 66, 67, 68, 72, 74, 75, 78, 79, 80], "built": [1, 2, 4, 6, 9, 12, 14, 22, 23, 25, 31, 51, 54, 57, 58, 72, 78, 79, 80], "abov": [1, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 22, 23, 33, 35, 40, 50, 51, 52, 53, 54, 58, 60, 62, 63, 65, 67, 68, 71, 72, 74, 76, 78, 79], "level": [1, 2, 3, 22, 28, 31, 32, 33, 38, 40, 50, 52, 53, 54, 68, 71, 75, 80], "register_oper": [1, 60], "accept": [1, 2, 3, 22, 23, 56, 72, 74, 79], "identifi": [1, 2, 3, 4, 13, 18, 20, 72, 74], "string": [1, 2, 3, 5, 18, 26, 29, 33, 35, 36, 43, 50, 54, 58, 64, 68, 74, 78], "numpi": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 36, 50, 60, 63, 66, 72], "arrai": [1, 2, 3, 4, 7, 10, 12, 14, 15, 16, 17, 20, 23, 25, 27, 45, 47, 50, 51, 53, 54, 60, 63, 64, 66, 68], "complex": [1, 2, 3, 4, 8, 12, 15, 19, 25, 41, 47, 50, 53, 58, 60, 66, 67, 78], "A": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 21, 27, 28, 29, 33, 36, 37, 40, 47, 50, 51, 58, 60, 63, 65, 66, 67, 70, 71, 72, 74], "1d": [1, 2], "interpret": [1, 8, 57, 63, 72], "row": [1, 2, 3, 29, 60], "major": [1, 72], "import": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 36, 41, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 66, 67, 68, 72, 78, 79], "custom_h": 1, "custom_x": [1, 60], "def": [1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 33, 36, 37, 42, 44, 50, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 67, 74, 79], "bell": [1, 15, 33, 78], "sampl": [1, 2, 3, 5, 7, 8, 9, 13, 16, 17, 18, 20, 25, 35, 51, 52, 53, 54, 55, 57, 60, 63, 64, 65, 66, 67, 71, 74, 78, 79], "dump": [1, 2, 3, 25, 33, 36, 52, 53, 58, 63, 64, 66, 78, 79], "macro": [1, 71], "cudaq_register_oper": 1, "uniqu": [1, 2, 3, 9, 13, 17, 20, 33, 38, 40, 45, 53, 76], "name": [1, 2, 3, 9, 13, 15, 18, 33, 35, 40, 43, 49, 50, 51, 52, 53, 54, 62, 66, 67, 68, 71, 72, 74, 75, 78, 79], "represent": [1, 2, 3, 14, 15, 20, 23, 29, 33, 37, 47, 50, 54, 68, 70, 71], "includ": [1, 2, 3, 4, 12, 13, 16, 22, 31, 33, 36, 45, 50, 52, 56, 57, 58, 60, 62, 63, 64, 65, 68, 70, 71, 72, 74, 76, 78, 79, 80], "m_sqrt1_2": 1, "__qpu__": [1, 2, 33, 36, 37, 44, 52, 53, 56, 58, 62, 63, 64, 65, 68, 78, 79], "void": [1, 2, 3, 33, 35, 36, 37, 40, 41, 43, 44, 45, 56, 58, 63, 65, 68, 70, 71, 76, 78, 79], "bell_pair": [1, 2, 3], "r": [1, 4, 17, 18, 40, 45, 51, 52, 53, 54, 62, 63, 68, 74], "int": [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 25, 33, 36, 37, 44, 45, 50, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 68, 71, 72, 76, 78, 79], "main": [1, 4, 5, 9, 18, 20, 31, 33, 36, 47, 52, 58, 62, 63, 64, 65, 68, 72, 74, 76, 78, 79, 80], "auto": [1, 2, 33, 35, 36, 37, 41, 44, 45, 52, 53, 54, 56, 58, 62, 63, 64, 65, 68, 70, 78, 79], "count": [1, 2, 3, 5, 8, 9, 10, 12, 13, 17, 18, 23, 33, 35, 36, 45, 51, 52, 53, 54, 58, 63, 64, 65, 66, 68, 71], "bit": [1, 2, 3, 4, 5, 7, 15, 16, 17, 18, 23, 25, 33, 36, 38, 45, 47, 53, 54, 63, 64, 65, 67, 71], "printf": [1, 33, 36, 45, 53, 62, 64, 65, 72], "n": [1, 2, 4, 5, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 22, 33, 35, 36, 37, 40, 41, 44, 52, 53, 58, 60, 62, 63, 64, 65, 66, 67, 68, 72, 76, 79], "data": [1, 2, 8, 11, 12, 13, 14, 21, 30, 33, 37, 39, 41, 47, 53, 54, 62, 64, 65, 68, 71, 73, 74, 76, 78], "multi": [1, 4, 14, 15, 23, 29, 30, 31, 32, 35, 38, 40, 44, 49, 50, 51, 52, 58, 60, 61, 62, 67, 71, 72, 78, 79, 80], "msb": 1, "order": [1, 2, 3, 4, 9, 12, 13, 15, 29, 33, 41, 50, 51, 54, 58, 62], "big": [1, 8, 16, 23], "endian": [1, 16, 23], "show": [1, 8, 9, 11, 13, 14, 15, 17, 20, 21, 22, 29, 50, 53, 60, 62, 63, 72, 74], "differ": [1, 2, 3, 7, 9, 10, 11, 12, 14, 15, 17, 18, 22, 23, 27, 29, 47, 51, 52, 53, 57, 58, 63, 66, 72, 74, 76, 79], "test": [1, 9, 11, 12, 16, 17, 18, 22, 30, 35, 66, 72, 74], "cnot": [1, 5, 9, 40, 56, 60, 67, 78], "my_cnot": 1, "print": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 33, 36, 45, 50, 52, 53, 58, 60, 62, 63, 64, 65, 66, 67, 68, 72, 78, 79], "500": [1, 22, 67, 79], "exact": [1, 9, 10, 16, 20, 54], "random": [1, 2, 3, 4, 5, 8, 9, 13, 15, 16, 17, 18, 20, 21, 22, 27, 29, 53, 54, 66], "construct": [1, 2, 8, 9, 10, 12, 16, 17, 19, 22, 27, 29, 30, 33, 34, 35, 37, 45, 47, 50, 53, 56, 57, 58, 60, 61, 64, 68], "second": [1, 2, 3, 4, 7, 8, 9, 12, 13, 17, 19, 45, 50, 52, 54, 58, 60, 63], "1j": [1, 12], "xy": [1, 29], "kron": [1, 17], "my_xi": 1, "custom_xy_test": 1, "undo": 1, "prior": [1, 54, 63, 67, 72, 74, 79], "1000": [1, 3, 9, 11, 16, 17, 20, 23, 25, 33, 51, 58, 64, 66, 67, 79], "mycnot": 1, "myxi": 1, "hardwar": [1, 9, 14, 18, 20, 23, 30, 31, 49, 54, 58, 61, 78, 80], "synthes": [1, 3, 20, 40, 44, 68], "current": [1, 2, 3, 9, 29, 31, 33, 43, 51, 53, 54, 71, 74, 78, 80], "orca": [1, 2, 49], "which": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 27, 29, 31, 33, 35, 38, 41, 45, 47, 50, 51, 53, 54, 60, 62, 63, 64, 66, 67, 68, 71, 72, 74, 75, 78, 80], "doe": [1, 2, 3, 7, 9, 14, 15, 20, 29, 31, 33, 37, 45, 50, 52, 53, 72, 74, 76, 78, 79, 80], "increment": [1, 2, 66], "qumod": 1, "up": [1, 2, 3, 7, 9, 13, 14, 16, 20, 29, 35, 41, 50, 51, 54, 57, 62, 63, 66, 68, 71, 74], "maximum": [1, 3, 8, 9, 20, 54], "valu": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 27, 29, 30, 33, 35, 37, 41, 45, 47, 50, 52, 53, 54, 58, 61, 63, 66, 67, 68, 72, 78, 79], "repres": [1, 2, 3, 4, 7, 8, 9, 13, 14, 15, 20, 25, 29, 33, 47, 50, 51, 54, 63, 67, 68], "If": [1, 2, 3, 5, 7, 9, 11, 14, 15, 16, 17, 18, 19, 23, 24, 29, 33, 47, 50, 51, 52, 54, 58, 63, 66, 67, 72, 74, 78, 79], "where": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 22, 23, 28, 29, 32, 38, 40, 41, 45, 47, 50, 51, 54, 58, 60, 63, 66, 67, 71, 72, 74, 76, 79], "alreadi": [1, 2, 3, 18, 29, 72, 74, 79], "ha": [1, 2, 3, 4, 5, 7, 9, 13, 15, 16, 17, 18, 20, 23, 25, 27, 33, 40, 47, 51, 52, 54, 57, 58, 63, 66, 67, 72, 74, 78], "effect": [1, 20, 47, 54, 58, 66, 67, 79], "u": [1, 2, 5, 6, 7, 8, 9, 12, 13, 14, 15, 18, 20, 21, 23, 29, 36, 37, 41, 42, 50, 51, 56, 57, 58, 63, 65, 66, 67, 68], "rangl": [1, 4, 14, 17, 18, 20, 33, 79], "3": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 31, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 58, 60, 63, 65, 66, 68, 71, 72, 74, 75, 79, 80], "cdot": [1, 5, 9, 12, 18], "d": [1, 2, 3, 9, 12, 15, 36, 37, 38, 45, 51, 63, 72, 74], "reduc": [1, 2, 10, 17, 18, 54], "minimum": [1, 13, 21, 52], "vacuum": [1, 63], "phase": [1, 2, 3, 5, 12, 14, 20, 40, 51, 63], "shifter": [1, 63], "add": [1, 2, 3, 9, 12, 13, 21, 25, 29, 31, 42, 50, 54, 63, 64, 68, 70, 71, 72, 74, 80], "a_1": [1, 17, 18], "creation": [1, 2, 4, 9, 32, 46, 50, 71], "dagger": [1, 4, 10, 12, 20, 25, 42, 50, 67], "shift": [1, 11, 52, 74], "p": [1, 4, 8, 9, 10, 17, 25, 72, 74], "left": [1, 2, 4, 5, 7, 10, 12, 13, 14, 15, 23, 63, 71, 74], "right": [1, 4, 10, 13, 14], "17": [1, 9, 15, 16, 17, 20, 29, 60, 68, 76], "beam": [1, 51, 63], "splitter": [1, 51, 63], "act": [1, 2, 3, 6, 7, 9, 13, 26, 47, 50, 67], "togeth": [1, 17, 30, 54, 68, 79], "parameter": [1, 2, 3, 8, 9, 10, 13, 19, 21, 22, 33, 35, 37, 40, 50, 52, 57, 60, 62, 64, 66], "relat": [1, 2, 9, 13, 18, 20, 68], "reflect": [1, 36, 54], "a_2": [1, 18], "b": [1, 9, 22, 27, 33, 60, 63], "_": [1, 4, 7, 11, 17, 18, 20, 29, 50], "rang": [1, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 27, 29, 31, 36, 37, 44, 45, 50, 52, 53, 56, 60, 66, 74, 79, 80], "34": [1, 9, 17], "return": [1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 27, 29, 33, 35, 36, 37, 40, 45, 47, 50, 52, 53, 54, 58, 62, 63, 64, 66, 68, 70, 71, 72, 76, 78], "result": [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 33, 34, 35, 36, 38, 47, 50, 51, 52, 53, 54, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 74, 78, 79], "input": [1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14, 15, 20, 22, 26, 27, 33, 35, 36, 37, 44, 45, 53, 58, 60, 62, 63, 66], "class": [2, 3, 4, 9, 11, 20, 33, 35, 37, 41, 43, 45, 53, 54, 70, 71], "spin_op": [2, 8, 26, 33, 36, 40, 52, 53, 58, 62], "gener": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 18, 21, 23, 26, 29, 33, 35, 36, 37, 38, 40, 41, 44, 46, 51, 52, 54, 57, 62, 63, 64, 65, 67, 68, 70, 74, 78], "sum": [2, 3, 4, 11, 12, 13, 16, 17, 20, 26, 41, 45, 63, 67], "tensor": [2, 3, 11, 17, 26, 31, 41, 52, 53, 71, 80], "product": [2, 3, 5, 17, 26, 30, 31, 41, 52, 79, 80], "expos": [2, 3, 9, 33, 35, 41, 43, 47, 53, 71], "typic": [2, 20, 33, 45, 52, 56, 57, 62, 68, 75, 76], "algebra": [2, 41, 62, 67], "programm": [2, 3, 33, 34, 35, 37, 38, 40, 42, 43, 45, 51, 53, 64], "defin": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 29, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 45, 50, 52, 53, 54, 56, 57, 58, 60, 62, 63, 64, 65, 67, 68, 71, 72, 74, 76, 78], "primit": [2, 13, 32, 35, 38, 41, 45, 46, 53, 57, 78], "them": [2, 3, 8, 9, 10, 15, 17, 20, 29, 31, 47, 50, 56, 67, 68, 72, 74, 76, 78, 79, 80], "compos": [2, 3, 11, 13, 20, 37, 38, 51, 63, 68], "larger": [2, 3, 9, 10, 13, 20, 52, 54], "thereof": [2, 38, 41], "public": [2, 9, 33, 35, 41, 43, 45, 53, 70, 71, 74], "type": [2, 4, 5, 6, 7, 9, 13, 14, 17, 19, 26, 32, 33, 35, 37, 38, 40, 41, 46, 50, 51, 53, 54, 56, 60, 62, 64, 67, 68, 71, 74, 78], "spin_op_term": 2, "bool": [2, 3, 33, 37, 40, 41, 43, 53, 71, 78], "we": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 20, 21, 23, 25, 29, 31, 33, 36, 40, 42, 47, 50, 51, 53, 54, 56, 57, 58, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "term": [2, 3, 4, 5, 8, 12, 13, 15, 18, 19, 22, 23, 33, 40, 50, 51, 53, 58, 62, 74], "binari": [2, 3, 5, 9, 11, 13, 14, 18, 23, 31, 51, 72, 76, 79, 80], "symplect": 2, "form": [2, 3, 9, 20, 22, 23, 29, 31, 33, 40, 45, 47, 50, 54, 68, 80], "size": [2, 3, 5, 8, 9, 10, 11, 12, 15, 16, 17, 18, 19, 33, 35, 36, 37, 38, 45, 52, 53, 54, 63, 64, 66, 74, 78], "nqubit": [2, 35, 36, 71], "element": [2, 3, 4, 14, 17, 18, 20, 27, 30, 33, 45, 53, 67], "x": [2, 3, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 33, 35, 36, 37, 40, 41, 42, 44, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 65, 67, 68, 72, 74, 76, 79], "next": [2, 4, 5, 8, 9, 10, 12, 16, 18, 19, 20, 22, 27, 29, 47, 63, 64, 68, 72], "z": [2, 3, 6, 8, 9, 11, 12, 13, 15, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33, 36, 40, 41, 50, 52, 53, 58, 62, 64, 66, 72], "y": [2, 3, 5, 7, 8, 9, 11, 12, 14, 17, 18, 19, 23, 24, 26, 27, 29, 33, 36, 40, 41, 50, 52, 53, 58, 62, 64, 72, 74, 76, 79], "site": [2, 3, 8, 63, 79], "csr_spmatrix": 2, "tupl": [2, 3, 9, 27, 33, 37, 63], "doubl": [2, 3, 21, 22, 33, 35, 36, 37, 40, 41, 44, 52, 53, 54, 58, 62, 63, 71, 72, 74], "size_t": [2, 33, 35, 37, 41, 43, 45, 53, 63, 64, 71, 76, 78], "typedef": 2, "zero": [2, 3, 5, 6, 10, 11, 12, 17, 18, 20, 38, 50, 53, 58, 67], "spars": 2, "function": [2, 3, 5, 6, 7, 8, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 31, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 56, 57, 58, 62, 64, 66, 68, 71, 76, 78, 80], "pair": [2, 3, 8, 12, 13, 15, 16, 37, 43, 47, 74], "const": [2, 33, 35, 36, 37, 40, 41, 43, 45, 52, 63, 70, 71, 76, 78], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 4, 5, 7, 9, 12, 13, 14, 16, 17, 19, 22, 27, 28, 31, 33, 35, 36, 37, 40, 41, 42, 43, 44, 45, 47, 51, 54, 57, 58, 60, 62, 63, 64, 65, 66, 68, 72, 74, 79, 80], "coeffici": [2, 3, 8, 12, 19, 26, 50, 67], "constant": [2, 7, 19, 45, 47, 68], "id": [2, 3, 33, 43, 45, 51, 53, 54, 72, 74], "coeff": 2, "qubit": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 35, 36, 37, 38, 41, 43, 44, 47, 50, 51, 52, 53, 54, 56, 57, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 74, 79], "unordered_map": [2, 33], "_term": 2, "full": [2, 3, 4, 18, 28, 31, 52, 53, 54, 66, 67, 68, 70, 72, 74, 75, 80], "composit": [2, 50], "spin": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 19, 22, 23, 25, 27, 33, 36, 41, 47, 50, 52, 53, 58, 62, 63, 66, 68], "op": [2, 3, 12, 19, 47, 62, 68], "map": [2, 3, 5, 8, 9, 17, 20, 22, 25, 33, 45, 50, 68, 74], "individu": [2, 3, 38, 45, 53, 60], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 25, 26, 27, 29, 31, 33, 34, 36, 37, 38, 41, 45, 47, 50, 52, 53, 54, 57, 58, 60, 62, 63, 66, 68, 71, 74, 75, 76, 79, 80], "creat": [2, 3, 5, 8, 9, 13, 14, 15, 17, 18, 20, 21, 25, 29, 30, 33, 35, 41, 44, 50, 51, 52, 53, 57, 58, 63, 64, 66, 68, 69, 71, 72, 74, 75, 76, 78, 79], "ident": [2, 12, 13, 17, 18, 20, 47, 50, 62], "numqubit": [2, 36], "given": [2, 3, 4, 7, 8, 9, 10, 13, 17, 18, 19, 20, 22, 23, 33, 45, 50, 51, 53, 54, 58, 62, 71], "o": [2, 9, 10, 14, 22, 36, 51, 52, 53, 54, 62, 63, 64, 65, 68, 72, 74, 76, 78, 79], "copi": [2, 15, 20, 29, 45, 47, 72, 74], "data_rep": 2, "serial": [2, 3, 12], "encod": [2, 3, 5, 9, 13, 18, 20, 33, 41, 53, 64, 67, 71], "via": [2, 3, 4, 5, 7, 11, 15, 20, 23, 25, 30, 32, 33, 35, 38, 40, 42, 44, 45, 47, 50, 51, 53, 54, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72], "real": [2, 8, 10, 12, 14, 16, 19, 20, 29, 57], "imaginari": [2, 4, 12], "part": [2, 3, 4, 12, 16, 18, 22, 33, 45, 68, 70, 72, 74], "append": [2, 3, 6, 8, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 27, 29, 37, 51, 53, 54, 60, 63, 66], "larg": [2, 4, 5, 12, 17, 22, 28, 40, 53, 54, 57, 67], "end": [2, 3, 4, 7, 10, 14, 15, 16, 17, 19, 20, 23, 25, 29, 33, 45, 51, 53, 54, 58, 60, 63, 67, 72, 74], "total": [2, 3, 4, 8, 9, 11, 12, 14, 20, 22, 52, 53, 54, 58, 63, 66, 74], "destructor": 2, "iter": [2, 3, 4, 9, 12, 18, 20, 22, 23, 26, 27, 33, 45], "begin": [2, 3, 4, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 23, 25, 29, 33, 45, 56, 63, 64, 67], "start": [2, 3, 4, 6, 14, 15, 18, 20, 23, 30, 31, 40, 45, 51, 53, 58, 60, 63, 68, 70, 76, 80], "equal": [2, 10, 20, 23, 29, 47, 53, 54, 58, 67], "v": [2, 3, 4, 8, 10, 12, 13, 18, 33, 36, 37, 42, 47, 52, 66, 68, 72], "noexcept": [2, 40], "subtract": 2, "multipli": [2, 12, 18], "true": [2, 3, 4, 5, 9, 11, 12, 15, 16, 17, 18, 20, 22, 27, 33, 37, 50, 51, 66, 72, 74, 79], "here": [2, 3, 4, 5, 7, 8, 9, 10, 12, 14, 17, 18, 20, 21, 22, 23, 25, 26, 30, 31, 33, 35, 36, 37, 40, 42, 50, 51, 52, 53, 60, 62, 63, 64, 65, 68, 70, 72, 74, 78, 79, 80], "consid": [2, 4, 5, 7, 9, 16, 17, 18, 19, 20, 36, 38, 47, 52, 53, 68, 74], "num_qubit": [2, 3, 19, 41, 52], "num_term": [2, 41], "get_coeffici": [2, 8, 12, 19, 41], "get": [2, 3, 10, 12, 14, 16, 17, 18, 20, 22, 25, 27, 29, 31, 33, 35, 36, 45, 51, 52, 53, 58, 62, 63, 66, 71, 72, 76, 79, 80], "throw": [2, 29], "except": [2, 3, 9, 12, 20, 29, 78], "get_raw_data": 2, "is_ident": [2, 41], "standard": [2, 3, 10, 20, 22, 27, 32, 33, 34, 35, 37, 40, 46, 53, 56, 57, 68, 70, 72, 74, 76, 78], "out": [2, 3, 7, 8, 9, 11, 12, 13, 14, 15, 18, 20, 22, 25, 27, 31, 33, 38, 45, 47, 53, 54, 58, 59, 60, 62, 63, 71, 74, 75, 78, 80], "to_str": [2, 8, 12, 19, 58], "printcoeffici": 2, "getdatarepresent": 2, "getdatatupl": 2, "fulli": [2, 3, 9, 11, 20, 31, 32, 51, 53, 64, 68, 72, 74, 78, 80], "distribute_term": 2, "numchunk": 2, "distribut": [2, 10, 16, 17, 20, 22, 23, 25, 31, 38, 52, 54, 58, 62, 64, 72, 78, 79, 80], "chunk": [2, 38], "for_each_term": [2, 8, 12, 19, 41], "give": [2, 13, 14, 17, 23, 31, 33, 48, 53, 54, 72, 74, 80], "functor": 2, "reduct": 2, "captur": [2, 13, 18, 22, 29, 31, 37, 50, 60, 80], "variabl": [2, 9, 12, 13, 15, 18, 22, 28, 31, 37, 38, 50, 51, 52, 53, 59, 63, 66, 72, 74, 79, 80], "for_each_pauli": [2, 41], "thrown": [2, 78], "than": [2, 3, 12, 13, 14, 15, 16, 18, 19, 22, 23, 24, 29, 40, 47, 52, 54, 58, 60, 67, 72, 74, 78], "user": [2, 3, 4, 5, 8, 9, 17, 20, 28, 31, 33, 35, 36, 38, 39, 42, 45, 50, 51, 52, 53, 54, 63, 66, 68, 71, 72, 74, 80], "should": [2, 3, 14, 18, 19, 22, 32, 33, 38, 40, 41, 43, 45, 51, 53, 54, 58, 71, 72, 74, 78, 79], "pass": [2, 3, 8, 9, 11, 12, 16, 19, 22, 29, 30, 33, 37, 38, 41, 45, 51, 53, 54, 60, 63, 65, 68, 69, 74, 78], "index": [2, 3, 5, 9, 11, 12, 16, 41, 43, 45, 47, 50, 53, 54, 71], "complex_matrix": 2, "to_matrix": [2, 10, 12, 50], "dens": 2, "to_sparse_matrix": 2, "col": 2, "static": [2, 3, 33, 40, 45, 50, 68, 72, 78], "nterm": 2, "unsign": 2, "seed": [2, 3, 4, 8, 9, 13, 17, 20, 21, 22, 29, 54, 66], "random_devic": 2, "specifi": [2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 23, 24, 26, 27, 29, 33, 36, 37, 38, 40, 41, 42, 43, 45, 50, 51, 52, 53, 54, 58, 60, 63, 64, 66, 68, 71, 72, 74], "overrid": [2, 33, 54, 70, 72], "repeat": [2, 16, 17, 18, 22, 33], "from_word": 2, "pauliword": 2, "word": [2, 3, 8, 12, 18, 19], "g": [2, 3, 9, 13, 18, 19, 20, 26, 32, 33, 34, 37, 38, 39, 40, 41, 47, 50, 51, 52, 53, 54, 63, 68, 71, 72, 74, 75, 78, 79], "xyx": 2, "3rd": 2, "typenam": [2, 33, 35, 36, 37, 40, 44, 45, 76, 78], "qualifiedspinop": 2, "struct": [2, 33, 35, 36, 37, 40, 44, 52, 53, 62, 63, 64, 65, 68, 70, 78], "constexpr": [2, 35, 45, 52], "dyn": [2, 45], "qudit": [2, 34, 38, 40], "system": [2, 3, 4, 9, 12, 15, 19, 21, 22, 23, 28, 33, 38, 43, 45, 47, 50, 51, 53, 54, 57, 58, 62, 63, 66, 67, 70, 72, 75, 76, 78, 79], "inlin": [2, 33, 68], "new": [2, 3, 4, 7, 8, 9, 12, 14, 20, 30, 31, 33, 35, 47, 57, 68, 69, 72, 74, 78, 79, 80], "enable_if_t": 2, "qreg": [2, 3, 12, 13, 52], "contain": [2, 3, 4, 9, 10, 13, 17, 20, 30, 31, 33, 38, 40, 43, 47, 52, 54, 57, 58, 62, 63, 68, 71, 72, 78, 79, 80], "dynam": [2, 30, 35, 37, 38, 45, 51, 56, 57, 68, 78], "time": [2, 3, 4, 9, 10, 12, 13, 14, 16, 17, 18, 19, 22, 23, 24, 25, 29, 30, 32, 33, 36, 38, 45, 46, 51, 52, 53, 54, 58, 63, 64, 66, 67, 68, 72, 74, 79], "By": [2, 9, 10, 22, 28, 33, 40, 50, 51, 52, 53, 54, 58, 63, 76], "value_typ": 2, "indic": [2, 3, 4, 8, 20, 37, 40, 41, 45, 50, 71], "underli": [2, 3, 9, 22, 33, 43, 45, 51, 53, 71], "interfac": [2, 3, 45, 54, 71, 72, 74, 76], "idx": [2, 3, 11, 18, 20, 45, 50, 53], "qspan": 2, "front": [2, 36, 44, 45, 65], "back": [2, 20, 36, 45, 47, 53, 63, 64, 74], "last": [2, 17, 18, 20, 36, 45, 53, 60, 62], "slice": [2, 3, 45], "clear": [2, 3, 15, 33, 45, 71], "destroi": [2, 45], "postcondit": [2, 45], "own": [2, 3, 9, 17, 25, 38, 43, 45, 54, 68, 71, 72, 74, 78], "semant": [2, 3, 32, 37, 38, 39, 42, 44, 45, 47, 68], "held": 2, "explicit": [2, 10, 33, 44, 50, 54, 63, 78], "determin": [2, 4, 5, 7, 8, 9, 16, 19, 22, 30, 54, 58], "check": [2, 9, 18, 20, 31, 51, 52, 63, 67, 72, 74, 79, 80], "norm": [2, 17], "pre": [2, 3, 20, 31, 33, 51, 54, 63, 65, 72, 78, 80], "exist": [2, 3, 8, 15, 20, 29, 31, 32, 33, 38, 39, 58, 70, 72, 74, 78, 79, 80], "could": [2, 9, 10, 12, 18, 22, 29, 52, 56, 67, 72], "from_data": [2, 3, 50], "retriev": [2, 3, 23, 33, 50, 53, 63], "get_stat": [2, 3, 10, 14, 15, 16, 19, 20, 23, 29, 53, 60], "delet": [2, 45, 51, 74, 78], "cannot": [2, 3, 14, 29, 36, 37, 45, 47, 67, 74], "move": [2, 11, 45, 70, 72, 74, 79], "assign": [2, 9, 13, 43, 53, 54, 72], "qview": [2, 5, 10, 12, 14, 18, 36, 37, 44], "observe_result": [2, 3, 12, 33, 62], "encapsul": [2, 11, 33, 45, 53, 78], "observ": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 17, 19, 21, 22, 25, 27, 36, 50, 51, 53, 54, 55, 57, 62, 64, 65, 66, 67, 71, 79], "call": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 18, 20, 21, 22, 23, 25, 27, 29, 35, 36, 37, 40, 44, 50, 53, 54, 57, 58, 60, 63, 64, 65, 66, 67, 68, 71, 72, 74, 76], "measur": [2, 3, 5, 7, 9, 10, 11, 12, 14, 15, 17, 22, 23, 25, 30, 33, 34, 36, 37, 38, 40, 47, 50, 51, 53, 54, 56, 57, 58, 61, 63, 64, 68, 71, 79], "execut": [2, 4, 9, 14, 20, 29, 30, 31, 32, 33, 35, 37, 38, 43, 44, 50, 51, 53, 54, 57, 58, 59, 61, 62, 63, 64, 66, 68, 71, 74, 75, 76, 78, 79, 80], "ansatz": [2, 4, 6, 9, 13, 21, 22, 33, 36, 52, 53, 62], "circuit": [2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 27, 32, 33, 37, 38, 41, 42, 46, 47, 51, 52, 53, 54, 57, 58, 60, 62, 63, 68, 70], "global": [2, 3, 9, 13, 20, 33, 37, 52, 58, 63, 72], "expect": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 17, 19, 20, 21, 22, 23, 25, 27, 30, 33, 50, 52, 53, 54, 58, 61, 66, 72, 74, 78, 79], "h": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 27, 29, 33, 35, 36, 40, 41, 42, 44, 45, 47, 50, 51, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 76, 78, 79], "precomput": 2, "psi": [2, 6, 7, 10, 12, 15, 23, 29, 33, 36, 58, 67], "sample_result": [2, 3, 18, 23, 33, 63, 78], "wa": [2, 3, 4, 7, 9, 12, 20, 33, 53, 64, 68, 72, 75, 79], "shot": [2, 3, 8, 9, 10, 16, 17, 18, 23, 33, 36, 51, 54, 58, 63, 64, 67, 71], "base": [2, 3, 8, 9, 11, 14, 17, 18, 20, 22, 26, 31, 32, 33, 35, 39, 40, 45, 50, 52, 53, 54, 58, 66, 68, 71, 72, 74, 76, 80], "raw_data": [2, 9, 33], "raw": [2, 3, 9], "convers": [2, 33], "simpli": [2, 29, 67, 74, 79], "ignor": [2, 9, 18, 54], "fine": [2, 33, 64, 65, 67], "grain": [2, 33, 64, 65], "explicitli": [2, 9, 10, 47, 51, 54, 68, 76, 78], "request": [2, 3, 33, 51, 52, 53, 54, 63, 74], "oppos": [2, 78], "observe_data": 2, "spinoptyp": [2, 33], "sub": [2, 3, 32, 33, 36, 37, 45, 46, 50, 74], "id_coeffici": [2, 33], "executioncontext": 2, "abstract": [2, 3, 26, 32, 33, 35, 40, 41, 43, 45, 53, 57], "how": [2, 6, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 26, 27, 29, 31, 33, 35, 40, 50, 52, 53, 54, 57, 58, 60, 61, 63, 64, 65, 66, 68, 71, 72, 74, 75, 78, 79, 80], "shots_": 2, "member": [2, 3, 13, 37], "basic": [2, 6, 30, 52, 60, 74, 79], "option": [2, 3, 4, 7, 9, 12, 16, 17, 21, 22, 23, 27, 28, 33, 35, 40, 43, 50, 51, 52, 53, 58, 62, 63, 65, 66, 71, 72, 74], "invoc": [2, 3, 35, 37, 43, 45, 53, 54, 71], "expectationvalu": 2, "nullopt": 2, "optimization_result": [2, 33], "optresult": 2, "optim": [2, 4, 6, 8, 9, 11, 12, 13, 17, 18, 22, 30, 31, 32, 42, 45, 47, 50, 52, 54, 61, 68, 70, 72, 74, 80], "hasconditionalsonmeasureresult": 2, "fals": [2, 3, 4, 8, 9, 12, 15, 16, 18, 19, 20, 72, 74], "being": [2, 3, 5, 6, 15, 25, 32, 33, 47, 54, 63, 78], "statement": [2, 7, 24, 33, 34, 57], "noise_model": [2, 3, 16, 17, 25], "noisemodel": [2, 3, 16, 17, 25], "nullptr": 2, "canhandleobserv": 2, "flag": [2, 37, 50, 51, 53, 54, 63, 68, 70, 74, 78], "handl": [2, 3, 9, 19, 51, 52, 53, 54, 63, 71, 74, 78], "task": [2, 5, 9, 20, 23, 29, 33, 41, 53, 54, 58, 68, 71], "under": [2, 3, 17, 20, 50, 51, 70, 71, 72, 74, 78], "asyncexec": 2, "occur": [2, 3, 9, 12, 17, 24, 33, 38, 63, 67, 74], "asynchron": [2, 3, 10, 12, 23, 33, 43, 53, 58, 63, 66], "detail": [2, 3, 4, 8, 10, 13, 16, 31, 32, 38, 50, 51, 52, 54, 71, 72, 74, 79, 80], "futur": [2, 3, 33, 49, 51, 53, 54, 63, 72, 74], "futureresult": 2, "store": [2, 3, 4, 12, 15, 19, 38, 45, 53, 58, 63, 66, 67, 68], "async_result": [2, 63], "asyncresult": [2, 66], "async_sample_result": [2, 33, 53], "so": [2, 5, 8, 9, 10, 12, 13, 15, 16, 17, 18, 20, 22, 27, 29, 33, 50, 51, 53, 54, 64, 67, 68, 70, 71, 72, 74, 78, 79], "boundari": [2, 11], "unique_ptr": 2, "simulationst": 2, "pointer": [2, 3, 78], "simul": [2, 4, 6, 8, 10, 12, 16, 17, 18, 22, 23, 27, 28, 29, 30, 31, 32, 33, 49, 50, 51, 55, 57, 58, 61, 63, 64, 66, 68, 69, 72, 79, 80], "amplitudemap": 2, "amplitud": [2, 3, 5, 14, 16, 20, 50, 51, 53, 60, 63, 66, 67], "overlapcomputest": 2, "overlap": [2, 3, 12, 53], "overlapresult": 2, "trace": [2, 3, 15, 20, 25, 52], "kerneltrac": 2, "run": [2, 3, 5, 7, 8, 9, 11, 12, 16, 17, 22, 23, 30, 32, 33, 36, 50, 51, 52, 53, 54, 55, 57, 62, 63, 64, 65, 66, 68, 71, 72, 74, 75, 78, 79], "tracer": 2, "persist": [2, 33, 38, 52, 74], "resourc": [2, 4, 18, 22, 27, 43, 52, 53, 54, 58, 72, 74], "kernelnam": [2, 3], "batchiter": 2, "batch": [2, 27, 38], "observe_n": 2, "sample_n": 2, "totaliter": 2, "registernam": [2, 33], "mid": [2, 3, 54], "mode": [2, 3, 9, 23, 36, 38, 50, 51, 63, 68, 72], "keep": [2, 5, 17, 33, 54], "track": [2, 33, 67], "reorderidx": 2, "inform": [2, 3, 5, 7, 9, 12, 15, 18, 20, 22, 26, 31, 33, 38, 40, 43, 45, 51, 52, 53, 54, 58, 63, 66, 67, 68, 72, 74, 76, 77, 79, 80], "reorder": 2, "after": [2, 3, 4, 7, 9, 15, 29, 33, 51, 58, 60, 63, 68, 72, 74], "empti": [2, 3, 12, 35, 41, 54, 63, 74], "mean": [2, 3, 5, 14, 15, 16, 20, 22, 40, 47, 54, 63, 66, 74, 79], "char": [2, 36, 53, 58, 72, 78, 79], "invocationresultbuff": 2, "buffer": [2, 53, 78], "note": [2, 3, 9, 10, 13, 15, 17, 18, 19, 20, 23, 29, 36, 38, 47, 51, 52, 53, 58, 60, 63, 67, 68, 72, 74, 78], "need": [2, 3, 4, 5, 9, 13, 14, 17, 18, 22, 23, 25, 29, 47, 50, 51, 52, 53, 54, 58, 62, 63, 66, 71, 72, 74, 75, 78], "abl": [2, 9, 23, 33, 51, 52, 53, 58, 74, 78, 79], "numbertrajectori": 2, "trajectori": 2, "calcul": [2, 3, 5, 6, 7, 9, 11, 15, 18, 20, 23, 27, 52, 53, 58, 63, 66], "job": [2, 13, 33, 51, 52, 53, 63, 74], "qpu": [2, 3, 10, 12, 22, 23, 27, 30, 31, 32, 33, 38, 43, 51, 53, 54, 57, 58, 62, 63, 66, 71, 78, 79, 80], "extra": [2, 11, 12, 40, 47, 51], "configur": [2, 8, 9, 21, 43, 51, 52, 53, 54, 63, 66, 68, 71, 72, 74, 75, 78, 79], "later": [2, 7, 9, 12, 15, 16, 33, 37, 53, 63, 72, 74], "server": [2, 51, 53, 63, 74], "file": [2, 4, 9, 33, 40, 51, 52, 53, 58, 59, 63, 66, 68, 70, 71, 72, 74, 75, 76, 78, 79], "read": [2, 3, 13, 18, 60, 63], 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Use cudaq::qview instead.)": [[45, "cudaq-qspan-n-levels-deprecated-use-cudaq-qview-levels-instead"]], "cudaq::qreg (Deprecated. Use cudaq::qvector instead.)": [[45, "cudaq-qreg-n-levels-deprecated-use-cudaq-qvector-levels-instead"]], "Quantum Intrinsic Operations": [[40, "quantum-intrinsic-operations"]], "Operations on cudaq::qubit": [[40, "operations-on-cudaq-qubit"]], "Quake Dialect": [[47, "quake-dialect"]], "General Introduction": [[47, "general-introduction"]], "Motivation": [[47, "motivation"]], "CUDA-Q Backends": [[49, "cuda-q-backends"]], "Backend Targets": [[49, null]], "Sub-circuit Synthesis": [[44, "sub-circuit-synthesis"]], "Quantum Operators": [[41, "quantum-operators"]], "cudaq::spin_op": [[41, "cudaq-spin-op"]], "Specifications": [[46, "specifications"]], "Quantum Platform": [[43, "quantum-platform"]], "Common Quantum Programming Patterns": [[42, "common-quantum-programming-patterns"]], "Compute-Action-Uncompute": [[42, "compute-action-uncompute"]], "CUDA-Q Releases": [[31, "cuda-q-releases"]], "Machine Model": [[38, "machine-model"]], "Control Flow": [[34, "control-flow"]], "Just-in-Time Kernel 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\ No newline at end of file
diff --git a/pr-2423/sphinx/applications/cpp/bernstein_vazirani.cpp b/pr-2423/sphinx/applications/cpp/bernstein_vazirani.cpp
index 5371d0d576..7ec7741eed 100644
--- a/pr-2423/sphinx/applications/cpp/bernstein_vazirani.cpp
+++ b/pr-2423/sphinx/applications/cpp/bernstein_vazirani.cpp
@@ -34,7 +34,7 @@ std::vector random_bits(int seed) {
template
struct oracle {
- auto operator()(std::vector bitvector, cudaq::qview<> qs,
+ auto operator()(std::vector &bitvector, cudaq::qview<> qs,
cudaq::qubit &aux) __qpu__ {
for (size_t i = 0; i < nrOfBits; i++) {
Quantum parallelism¶
Our aim is to find out if \(f: \{0,1\} \longrightarrow \{0,1\}\) is a constant or a balanced function? If constant, \(f(0) = f(1)\), and if balanced, \(f(0) \neq f(1)\).
We step through the circuit diagram below and follow the math after the application of each gate.
-
\[\ket{\psi_0} = \ket{01}
\tag{1}\]
diff --git a/pr-2423/examples/python/performance_optimizations.html b/pr-2423/examples/python/performance_optimizations.html
index 8c9a0c37c9..71158398b0 100644
--- a/pr-2423/examples/python/performance_optimizations.html
+++ b/pr-2423/examples/python/performance_optimizations.html
@@ -716,9 +716,9 @@ Optimizing Performance
Gate Fusion¶
Gate fusion is an optimization technique where consecutive gates are combined into a single gate operation to improve the efficiency of the simulation (See figure below). By targeting the nvidia-mgpu backend and setting the CUDAQ_MGPU_FUSE environment variable, you can select the degree of fusion that takes place. A full command line example would look like CUDAQ_MGPU_FUSE=4 python c2h2VQE.py --target nvidia --target-option fp64,mgpu
-
+
The importance of gate fusion is system dependent, but can have a large influence on the performance of the simulation. See the example below for a 24 qubit VQE experiment where changing the fusion level resulted in significant performance boosts.
-
+
diff --git a/pr-2423/genindex.html b/pr-2423/genindex.html
index 97dbf81195..6655b9e44d 100644
--- a/pr-2423/genindex.html
+++ b/pr-2423/genindex.html
@@ -967,6 +967,8 @@ C
cudaq::ExecutionContext::name (C++ member)
cudaq::ExecutionContext::noiseModel (C++ member)
+
+ cudaq::ExecutionContext::numberTrajectories (C++ member)
cudaq::ExecutionContext::optResult (C++ member)
diff --git a/pr-2423/objects.inv b/pr-2423/objects.inv
index 6dd7d0ce0b..2c91e0a83b 100644
Binary files a/pr-2423/objects.inv and b/pr-2423/objects.inv differ
diff --git a/pr-2423/searchindex.js b/pr-2423/searchindex.js
index 0d2e431db1..558d645e18 100644
--- a/pr-2423/searchindex.js
+++ b/pr-2423/searchindex.js
@@ -1 +1 @@
-Search.setIndex({"docnames": ["api/api", "api/default_ops", "api/languages/cpp_api", "api/languages/python_api", "applications/python/afqmc", "applications/python/bernstein_vazirani", "applications/python/cost_minimization", "applications/python/deutschs_algorithm", "applications/python/digitized_counterdiabatic_qaoa", "applications/python/divisive_clustering_coresets", "applications/python/hadamard_test", "applications/python/hybrid_qnns", "applications/python/krylov", "applications/python/qaoa", "applications/python/quantum_fourier_transform", "applications/python/quantum_teleportation", "applications/python/quantum_volume", "applications/python/readout_error_mitigation", "applications/python/shors", "applications/python/trotter", "applications/python/unitary_compilation_diffusion_models", "applications/python/vqe", "applications/python/vqe_advanced", "examples/python/executing_kernels", "examples/python/measuring_kernels", "examples/python/noisy_simulations", 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44, 45, 47, 48, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 74, 76, 79, 80], "arbitrari": [1, 2, 3, 20, 50, 51, 65, 78], "\u03bb": 1, "exp": [1, 2, 12, 18, 36, 41, 50], "i\u03bb": 1, "math": [1, 4, 7, 18, 52], "pi": [1, 8, 9, 11, 13, 14, 16, 18, 19, 21, 22, 27, 29, 36, 37, 42, 44, 50, 51, 52, 63], "std": [1, 2, 3, 33, 35, 36, 37, 40, 41, 43, 44, 45, 52, 53, 58, 63, 64, 66, 70, 71, 76, 78], "number": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 23, 26, 27, 29, 33, 36, 41, 43, 45, 47, 50, 51, 52, 53, 54, 56, 58, 62, 63, 64, 65, 66, 67, 68, 71, 74, 79], "\u03b8": 1, "co": [1, 14, 19, 29, 50], "isin": 1, "sin": [1, 14, 29], "its": [1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 25, 31, 32, 33, 43, 45, 47, 48, 52, 53, 54, 58, 60, 63, 64, 67, 68, 71, 72, 74, 78, 79, 80], "4": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 51, 52, 53, 54, 60, 63, 66, 68, 72, 74, 78, 80], "i\u03c0": 1, "two": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 20, 22, 25, 27, 29, 38, 47, 50, 51, 53, 54, 58, 60, 62, 63, 65, 67, 74, 78], "qubit_1": [1, 7, 13, 60], "qubit_2": [1, 15], "univers": [1, 2, 9, 15, 20, 52, 67], "three": [1, 10, 17, 18, 20, 22, 38, 51, 52, 62], "paramet": [1, 2, 3, 6, 8, 9, 11, 12, 13, 16, 18, 20, 21, 23, 33, 37, 40, 45, 50, 51, 52, 54, 56, 60, 62, 63, 64, 66, 71, 72], "euler": [1, 50], "angl": [1, 2, 3, 6, 10, 14, 17, 18, 27, 29, 36, 37, 40, 53, 56, 62, 63], "theta": [1, 8, 9, 10, 11, 13, 14, 21, 22, 25, 27, 29, 33, 35, 36, 52, 53, 60, 62], "phi": [1, 3, 4, 10, 33, 35, 51, 63, 68], "\u03c6": 1, "lambda": [1, 2, 8, 9, 12, 13, 17, 18, 19, 22, 27, 33, 36, 37, 42, 50, 63, 65, 66, 68], "i\u03c6": 1, "np": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 36, 37, 42, 44, 50, 51, 53, 54, 60, 63, 66, 72], "m_pi": [1, 36, 44, 63], "m_pi_2": [1, 36, 37, 52], "adj": [1, 40, 60], "method": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 17, 18, 19, 20, 21, 22, 26, 27, 33, 35, 40, 45, 50, 51, 53, 54, 58, 60, 64], "ani": [1, 2, 3, 9, 12, 13, 18, 19, 20, 22, 23, 25, 27, 29, 33, 37, 39, 40, 42, 44, 45, 50, 51, 52, 54, 56, 58, 59, 60, 63, 64, 65, 71, 72, 74, 78, 79], "alloc": [1, 2, 3, 6, 13, 20, 33, 35, 36, 37, 38, 45, 53, 54, 56, 58, 64, 65, 71], "now": [1, 4, 5, 7, 9, 10, 13, 14, 15, 18, 20, 21, 22, 31, 47, 58, 63, 64, 65, 66, 74, 79, 80], "again": [1, 5, 22, 23, 33, 47, 74, 76], "initi": [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 15, 18, 19, 21, 22, 27, 33, 50, 51, 53, 60, 63, 66, 67, 72, 74], "ctrl": [1, 2, 5, 7, 13, 16, 18, 23, 27, 29, 33, 35, 36, 40, 52, 53, 56, 60, 62, 63, 64, 65, 67, 68, 74, 79], "condit": [1, 2, 14, 15, 20, 25, 33, 34, 35, 37, 38, 54, 57, 67, 68], "more": [1, 2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 18, 20, 22, 26, 29, 31, 35, 38, 40, 41, 47, 51, 52, 53, 54, 57, 58, 60, 63, 66, 67, 72, 74, 76, 78, 79, 80], "wikipedia": [1, 50], "entri": [1, 3, 12, 33, 37, 53, 60, 63, 68, 74, 78], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 4, 9, 15, 23, 25, 27, 58, 66, 67, 78, 79], "11": [1, 3, 4, 9, 11, 15, 16, 17, 19, 20, 22, 23, 25, 27, 29, 33, 58, 66, 67, 68, 72, 74, 78, 79], "onli": [1, 2, 3, 5, 9, 15, 17, 18, 20, 22, 23, 24, 29, 33, 37, 38, 42, 45, 47, 50, 51, 52, 53, 57, 63, 67, 68, 70, 72, 74, 78, 79], "both": [1, 3, 4, 5, 7, 11, 18, 38, 47, 51, 53, 54, 67, 72, 74, 76], "000": [1, 14, 15, 17, 18, 52, 58], "111": [1, 9, 14, 15, 17, 18], "follow": [1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 20, 22, 23, 24, 26, 27, 29, 31, 33, 35, 37, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "common": [1, 3, 9, 10, 17, 18, 20, 21, 22, 33, 37, 40, 41, 68, 72], "convent": [1, 8, 11, 13, 23], "all": [1, 2, 3, 9, 15, 16, 17, 18, 19, 20, 22, 23, 27, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 45, 47, 51, 52, 53, 54, 58, 60, 62, 63, 66, 67, 68, 72, 74, 75, 76, 78, 79, 80], "howev": [1, 4, 9, 14, 15, 17, 20, 22, 23, 47, 50, 51, 53, 78], "behavior": [1, 2, 3, 9, 22, 54], "chang": [1, 2, 5, 9, 14, 18, 28, 31, 33, 37, 50, 58, 74, 79, 80], "instead": [1, 2, 4, 9, 25, 39, 42, 53, 54, 58, 72, 74, 78], "when": [1, 2, 3, 9, 12, 13, 17, 18, 20, 33, 38, 45, 47, 52, 53, 54, 58, 62, 63, 64, 68, 71, 72, 74, 78, 79], "negat": [1, 2, 3, 40, 44, 45], "polar": [1, 40, 44, 54], "syntax": [1, 9, 31, 32, 37, 38, 40, 42, 51, 60, 63, 76, 80], "preced": [1, 40, 51], "01": [1, 4, 7, 15, 20, 25, 27, 67], "10": [1, 4, 7, 9, 10, 11, 12, 13, 15, 16, 17, 19, 20, 22, 25, 27, 29, 33, 36, 37, 54, 58, 60, 63, 64, 66, 67, 68, 72, 74, 76], "notat": [1, 15, 67], "context": [1, 2, 11, 38, 53, 54, 71], "valid": [1, 2, 3, 30, 37, 51, 54, 60, 63, 72, 74, 78], "either": [1, 7, 11, 13, 18, 38, 51, 53, 54, 63, 67, 72, 74, 79], "similarli": [1, 7, 22, 53, 59, 67], "condition": 1, "respect": [1, 2, 3, 4, 8, 13, 18, 22, 27, 33, 50, 51, 53, 58, 62, 66, 67, 72, 74, 79], "e": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 26, 29, 32, 33, 34, 36, 37, 38, 39, 40, 41, 47, 50, 51, 52, 53, 54, 63, 68, 71, 72, 74, 78, 79], "project": [1, 54, 71, 72, 74, 75, 78], "onto": [1, 67], "eigenvector": [1, 2, 10, 12], "non": [1, 2, 3, 8, 10, 12, 17, 18, 33, 37, 38, 45, 53, 54, 58, 62, 64], "linear": [1, 5, 9, 11, 12, 14, 21, 25, 52, 58, 63, 67], "avail": [1, 2, 3, 8, 9, 10, 20, 22, 27, 30, 31, 32, 33, 37, 38, 40, 43, 44, 45, 46, 49, 51, 52, 53, 54, 57, 58, 60, 61, 62, 63, 68, 72, 74, 79, 80], "first": [1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 27, 29, 30, 33, 45, 51, 52, 53, 54, 55, 60, 62, 63, 64, 65, 68, 74, 79], "api": [1, 23, 26, 29, 30, 33, 35, 39, 40, 43, 45, 50, 51, 52, 53, 54, 58, 60, 64, 71, 72, 74, 76, 78], "regist": [1, 2, 3, 5, 10, 14, 18, 21, 24, 33, 36, 38, 45, 51, 53, 60, 63, 64, 65, 68, 71], "outsid": [1, 9, 74, 78], "Then": [1, 17, 20, 24, 51, 63, 70, 71], "within": [1, 2, 3, 21, 33, 37, 39, 41, 45, 51, 53, 54, 57, 58, 60, 63, 64, 67, 70, 72, 74, 75, 76, 78, 79], "like": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 21, 22, 23, 27, 28, 31, 33, 37, 45, 51, 53, 58, 60, 63, 64, 66, 67, 68, 72, 74, 75, 78, 79, 80], "built": [1, 2, 4, 6, 9, 12, 14, 22, 23, 25, 31, 51, 54, 57, 58, 72, 78, 79, 80], "abov": [1, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 22, 23, 33, 35, 40, 50, 51, 52, 53, 54, 58, 60, 62, 63, 65, 67, 68, 71, 72, 74, 76, 78, 79], "level": [1, 2, 3, 22, 28, 31, 32, 33, 38, 40, 50, 52, 53, 54, 68, 71, 75, 80], "register_oper": [1, 60], "accept": [1, 2, 3, 22, 23, 56, 72, 74, 79], "identifi": [1, 2, 3, 4, 13, 18, 20, 72, 74], "string": [1, 2, 3, 5, 18, 26, 29, 33, 35, 36, 43, 50, 54, 58, 64, 68, 74, 78], "numpi": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 36, 50, 60, 63, 66, 72], "arrai": [1, 2, 3, 4, 7, 10, 12, 14, 15, 16, 17, 20, 23, 25, 27, 45, 47, 50, 51, 53, 54, 60, 63, 64, 66, 68], "complex": [1, 2, 3, 4, 8, 12, 15, 19, 25, 41, 47, 50, 53, 58, 60, 66, 67, 78], "A": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 21, 27, 28, 29, 33, 36, 37, 40, 47, 50, 51, 58, 60, 63, 65, 66, 67, 70, 71, 72, 74], "1d": [1, 2], "interpret": [1, 8, 57, 63, 72], "row": [1, 2, 3, 29, 60], "major": [1, 72], "import": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 36, 41, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 66, 67, 68, 72, 78, 79], "custom_h": 1, "custom_x": [1, 60], "def": [1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 33, 36, 37, 42, 44, 50, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 67, 74, 79], "bell": [1, 15, 33, 78], "sampl": [1, 2, 3, 5, 7, 8, 9, 13, 16, 17, 18, 20, 25, 35, 51, 52, 53, 54, 55, 57, 60, 63, 64, 65, 66, 67, 71, 74, 78, 79], "dump": [1, 2, 3, 25, 33, 36, 52, 53, 58, 63, 64, 66, 78, 79], "macro": [1, 71], "cudaq_register_oper": 1, "uniqu": [1, 2, 3, 9, 13, 17, 20, 33, 38, 40, 45, 53, 76], "name": [1, 2, 3, 9, 13, 15, 18, 33, 35, 40, 43, 49, 50, 51, 52, 53, 54, 62, 66, 67, 68, 71, 72, 74, 75, 78, 79], "represent": [1, 2, 3, 14, 15, 20, 23, 29, 33, 37, 47, 50, 54, 68, 70, 71], "includ": [1, 2, 3, 4, 12, 13, 16, 22, 31, 33, 36, 45, 50, 52, 56, 57, 58, 60, 62, 63, 64, 65, 68, 70, 71, 72, 74, 76, 78, 79, 80], "m_sqrt1_2": 1, "__qpu__": [1, 2, 33, 36, 37, 44, 52, 53, 56, 58, 62, 63, 64, 65, 68, 78, 79], "void": [1, 2, 3, 33, 35, 36, 37, 40, 41, 43, 44, 45, 56, 58, 63, 65, 68, 70, 71, 76, 78, 79], "bell_pair": [1, 2, 3], "r": [1, 4, 17, 18, 40, 45, 51, 52, 53, 54, 62, 63, 68, 74], "int": [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 25, 33, 36, 37, 44, 45, 50, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 68, 71, 72, 76, 78, 79], "main": [1, 4, 5, 9, 18, 20, 31, 33, 36, 47, 52, 58, 62, 63, 64, 65, 68, 72, 74, 76, 78, 79, 80], "auto": [1, 2, 33, 35, 36, 37, 41, 44, 45, 52, 53, 54, 56, 58, 62, 63, 64, 65, 68, 70, 78, 79], "count": [1, 2, 3, 5, 8, 9, 10, 12, 13, 17, 18, 23, 33, 35, 36, 45, 51, 52, 53, 54, 58, 63, 64, 65, 66, 68, 71], "bit": [1, 2, 3, 4, 5, 7, 15, 16, 17, 18, 23, 25, 33, 36, 38, 45, 47, 53, 54, 63, 64, 65, 67, 71], "printf": [1, 33, 36, 45, 53, 62, 64, 65, 72], "n": [1, 2, 4, 5, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 22, 33, 35, 36, 37, 40, 41, 44, 52, 53, 58, 60, 62, 63, 64, 65, 66, 67, 68, 72, 76, 79], "data": [1, 2, 8, 11, 12, 13, 14, 21, 30, 33, 37, 39, 41, 47, 53, 54, 62, 64, 65, 68, 71, 73, 74, 76, 78], "multi": [1, 4, 14, 15, 23, 29, 30, 31, 32, 35, 38, 40, 44, 49, 50, 51, 52, 58, 60, 61, 62, 67, 71, 72, 78, 79, 80], "msb": 1, "order": [1, 2, 3, 4, 9, 12, 13, 15, 29, 33, 41, 50, 51, 54, 58, 62], "big": [1, 8, 16, 23], "endian": [1, 16, 23], "show": [1, 8, 9, 11, 13, 14, 15, 17, 20, 21, 22, 29, 50, 53, 60, 62, 63, 72, 74], "differ": [1, 2, 3, 7, 9, 10, 11, 12, 14, 15, 17, 18, 22, 23, 27, 29, 47, 51, 52, 53, 57, 58, 63, 66, 72, 74, 76, 79], "test": [1, 9, 11, 12, 16, 17, 18, 22, 30, 35, 66, 72, 74], "cnot": [1, 5, 9, 40, 56, 60, 67, 78], "my_cnot": 1, "print": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 33, 36, 45, 50, 52, 53, 58, 60, 62, 63, 64, 65, 66, 67, 68, 72, 78, 79], "500": [1, 22, 67, 79], "exact": [1, 9, 10, 16, 20, 54], "random": [1, 2, 3, 4, 5, 8, 9, 13, 15, 16, 17, 18, 20, 21, 22, 27, 29, 53, 54, 66], "construct": [1, 2, 8, 9, 10, 12, 16, 17, 19, 22, 27, 29, 30, 33, 34, 35, 37, 45, 47, 50, 53, 56, 57, 58, 60, 61, 64, 68], "second": [1, 2, 3, 4, 7, 8, 9, 12, 13, 17, 19, 45, 50, 52, 54, 58, 60, 63], "1j": [1, 12], "xy": [1, 29], "kron": [1, 17], "my_xi": 1, "custom_xy_test": 1, "undo": 1, "prior": [1, 54, 63, 67, 72, 74, 79], "1000": [1, 3, 9, 11, 16, 17, 20, 23, 25, 33, 51, 58, 64, 66, 67, 79], "mycnot": 1, "myxi": 1, "hardwar": [1, 9, 14, 18, 20, 23, 30, 31, 49, 54, 58, 61, 78, 80], "synthes": [1, 3, 20, 40, 44, 68], "current": [1, 2, 3, 9, 29, 31, 33, 43, 51, 53, 54, 71, 74, 78, 80], "orca": [1, 2, 49], "which": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 27, 29, 31, 33, 35, 38, 41, 45, 47, 50, 51, 53, 54, 60, 62, 63, 64, 66, 67, 68, 71, 72, 74, 75, 78, 80], "doe": [1, 2, 3, 7, 9, 14, 15, 20, 29, 31, 33, 37, 45, 50, 52, 53, 72, 74, 76, 78, 79, 80], "increment": [1, 2, 66], "qumod": 1, "up": [1, 2, 3, 7, 9, 13, 14, 16, 20, 29, 35, 41, 50, 51, 54, 57, 62, 63, 66, 68, 71, 74], "maximum": [1, 3, 8, 9, 20, 54], "valu": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 27, 29, 30, 33, 35, 37, 41, 45, 47, 50, 52, 53, 54, 58, 61, 63, 66, 67, 68, 72, 78, 79], "repres": [1, 2, 3, 4, 7, 8, 9, 13, 14, 15, 20, 25, 29, 33, 47, 50, 51, 54, 63, 67, 68], "If": [1, 2, 3, 5, 7, 9, 11, 14, 15, 16, 17, 18, 19, 23, 24, 29, 33, 47, 50, 51, 52, 54, 58, 63, 66, 67, 72, 74, 78, 79], "where": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 22, 23, 28, 29, 32, 38, 40, 41, 45, 47, 50, 51, 54, 58, 60, 63, 66, 67, 71, 72, 74, 76, 79], "alreadi": [1, 2, 3, 18, 29, 72, 74, 79], "ha": [1, 2, 3, 4, 5, 7, 9, 13, 15, 16, 17, 18, 20, 23, 25, 27, 33, 40, 47, 51, 52, 54, 57, 58, 63, 66, 67, 72, 74, 78], "effect": [1, 20, 47, 54, 58, 66, 67, 79], "u": [1, 2, 5, 6, 7, 8, 9, 12, 13, 14, 15, 18, 20, 21, 23, 29, 36, 37, 41, 42, 50, 51, 56, 57, 58, 63, 65, 66, 67, 68], "rangl": [1, 4, 14, 17, 18, 20, 33, 79], "3": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 31, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 58, 60, 63, 65, 66, 68, 71, 72, 74, 75, 79, 80], "cdot": [1, 5, 9, 12, 18], "d": [1, 2, 3, 9, 12, 15, 36, 37, 38, 45, 51, 63, 72, 74], "reduc": [1, 2, 10, 17, 18, 54], "minimum": [1, 13, 21, 52], "vacuum": [1, 63], "phase": [1, 2, 3, 5, 12, 14, 20, 40, 51, 63], "shifter": [1, 63], "add": [1, 2, 3, 9, 12, 13, 21, 25, 29, 31, 42, 50, 54, 63, 64, 68, 70, 71, 72, 74, 80], "a_1": [1, 17, 18], "creation": [1, 2, 4, 9, 32, 46, 50, 71], "dagger": [1, 4, 10, 12, 20, 25, 42, 50, 67], "shift": [1, 11, 52, 74], "p": [1, 4, 8, 9, 10, 17, 25, 72, 74], 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18, 20, 38, 50, 53, 58, 67], "spars": 2, "function": [2, 3, 5, 6, 7, 8, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 31, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 56, 57, 58, 62, 64, 66, 68, 71, 76, 78, 80], "pair": [2, 3, 8, 12, 13, 15, 16, 37, 43, 47, 74], "const": [2, 33, 35, 36, 37, 40, 41, 43, 45, 52, 63, 70, 71, 76, 78], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 4, 5, 7, 9, 12, 13, 14, 16, 17, 19, 22, 27, 28, 31, 33, 35, 36, 37, 40, 41, 42, 43, 44, 45, 47, 51, 54, 57, 58, 60, 62, 63, 64, 65, 66, 68, 72, 74, 79, 80], "coeffici": [2, 3, 8, 12, 19, 26, 50, 67], "constant": [2, 7, 19, 45, 47, 68], "id": [2, 3, 33, 43, 45, 51, 53, 54, 72, 74], "coeff": 2, "qubit": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 35, 36, 37, 38, 41, 43, 44, 47, 50, 51, 52, 53, 54, 56, 57, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 74, 79], "unordered_map": [2, 33], "_term": 2, "full": [2, 3, 4, 18, 28, 31, 52, 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"encod": [2, 3, 5, 9, 13, 18, 20, 33, 41, 53, 64, 67, 71], "via": [2, 3, 4, 5, 7, 11, 15, 20, 23, 25, 30, 32, 33, 35, 38, 40, 42, 44, 45, 47, 50, 51, 53, 54, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72], "real": [2, 8, 10, 12, 14, 16, 19, 20, 29, 57], "imaginari": [2, 4, 12], "part": [2, 3, 4, 12, 16, 18, 22, 33, 45, 68, 70, 72, 74], "append": [2, 3, 6, 8, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 27, 29, 37, 51, 53, 54, 60, 63, 66], "larg": [2, 4, 5, 12, 17, 22, 28, 40, 53, 54, 57, 67], "end": [2, 3, 4, 7, 10, 14, 15, 16, 17, 19, 20, 23, 25, 29, 33, 45, 51, 53, 54, 58, 60, 63, 67, 72, 74], "total": [2, 3, 4, 8, 9, 11, 12, 14, 20, 22, 52, 53, 54, 58, 63, 66, 74], "destructor": 2, "iter": [2, 3, 4, 9, 12, 18, 20, 22, 23, 26, 27, 33, 45], "begin": [2, 3, 4, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 23, 25, 29, 33, 45, 56, 63, 64, 67], "start": [2, 3, 4, 6, 14, 15, 18, 20, 23, 30, 31, 40, 45, 51, 53, 58, 60, 63, 68, 70, 76, 80], "equal": [2, 10, 20, 23, 29, 47, 53, 54, 58, 67], "v": [2, 3, 4, 8, 10, 12, 13, 18, 33, 36, 37, 42, 47, 52, 66, 68, 72], "noexcept": [2, 40], "subtract": 2, "multipli": [2, 12, 18], "true": [2, 3, 4, 5, 9, 11, 12, 15, 16, 17, 18, 20, 22, 27, 33, 37, 50, 51, 66, 72, 74, 79], "here": [2, 3, 4, 5, 7, 8, 9, 10, 12, 14, 17, 18, 20, 21, 22, 23, 25, 26, 30, 31, 33, 35, 36, 37, 40, 42, 50, 51, 52, 53, 60, 62, 63, 64, 65, 68, 70, 72, 74, 78, 79, 80], "consid": [2, 4, 5, 7, 9, 16, 17, 18, 19, 20, 36, 38, 47, 52, 53, 68, 74], "num_qubit": [2, 3, 19, 41, 52], "num_term": [2, 41], "get_coeffici": [2, 8, 12, 19, 41], "get": [2, 3, 10, 12, 14, 16, 17, 18, 20, 22, 25, 27, 29, 31, 33, 35, 36, 45, 51, 52, 53, 58, 62, 63, 66, 71, 72, 76, 79, 80], "throw": [2, 29], "except": [2, 3, 9, 12, 20, 29, 78], "get_raw_data": 2, "is_ident": [2, 41], "standard": [2, 3, 10, 20, 22, 27, 32, 33, 34, 35, 37, 40, 46, 53, 56, 57, 68, 70, 72, 74, 76, 78], "out": [2, 3, 7, 8, 9, 11, 12, 13, 14, 15, 18, 20, 22, 25, 27, 31, 33, 38, 45, 47, 53, 54, 58, 59, 60, 62, 63, 71, 74, 75, 78, 80], 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38, 41, 45, 51, 53, 54, 60, 63, 65, 68, 69, 74, 78], "index": [2, 3, 5, 9, 11, 12, 16, 41, 43, 45, 47, 50, 53, 54, 71], "complex_matrix": 2, "to_matrix": [2, 10, 12, 50], "dens": 2, "to_sparse_matrix": 2, "col": 2, "static": [2, 3, 33, 40, 45, 50, 68, 72, 78], "nterm": 2, "unsign": 2, "seed": [2, 3, 4, 8, 9, 13, 17, 20, 21, 22, 29, 54, 66], "random_devic": 2, "specifi": [2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 23, 24, 26, 27, 29, 33, 36, 37, 38, 40, 41, 42, 43, 45, 50, 51, 52, 53, 54, 58, 60, 63, 64, 66, 68, 71, 72, 74], "overrid": [2, 33, 54, 70, 72], "repeat": [2, 16, 17, 18, 22, 33], "from_word": 2, "pauliword": 2, "word": [2, 3, 8, 12, 18, 19], "g": [2, 3, 9, 13, 18, 19, 20, 26, 32, 33, 34, 37, 38, 39, 40, 41, 47, 50, 51, 52, 53, 54, 63, 68, 71, 72, 74, 75, 78, 79], "xyx": 2, "3rd": 2, "typenam": [2, 33, 35, 36, 37, 40, 44, 45, 76, 78], "qualifiedspinop": 2, "struct": [2, 33, 35, 36, 37, 40, 44, 52, 53, 62, 63, 64, 65, 68, 70, 78], "constexpr": [2, 35, 45, 52], "dyn": [2, 45], "qudit": [2, 34, 38, 40], "system": [2, 3, 4, 9, 12, 15, 19, 21, 22, 23, 28, 33, 38, 43, 45, 47, 50, 51, 53, 54, 57, 58, 62, 63, 66, 67, 70, 72, 75, 76, 78, 79], "inlin": [2, 33, 68], "new": [2, 3, 4, 7, 8, 9, 12, 14, 20, 30, 31, 33, 35, 47, 57, 68, 69, 72, 74, 78, 79, 80], "enable_if_t": 2, "qreg": [2, 3, 12, 13, 52], "contain": [2, 3, 4, 9, 10, 13, 17, 20, 30, 31, 33, 38, 40, 43, 47, 52, 54, 57, 58, 62, 63, 68, 71, 72, 78, 79, 80], "dynam": [2, 30, 35, 37, 38, 45, 51, 56, 57, 68, 78], "time": [2, 3, 4, 9, 10, 12, 13, 14, 16, 17, 18, 19, 22, 23, 24, 25, 29, 30, 32, 33, 36, 38, 45, 46, 51, 52, 53, 54, 58, 63, 64, 66, 67, 68, 72, 74, 79], "By": [2, 9, 10, 22, 28, 33, 40, 50, 51, 52, 53, 54, 58, 63, 76], "value_typ": 2, "indic": [2, 3, 4, 8, 20, 37, 40, 41, 45, 50, 71], "underli": [2, 3, 9, 22, 33, 43, 45, 51, 53, 71], "interfac": [2, 3, 45, 54, 71, 72, 74, 76], "idx": [2, 3, 11, 18, 20, 45, 50, 53], "qspan": 2, "front": [2, 36, 44, 45, 65], "back": [2, 20, 36, 45, 47, 53, 63, 64, 74], "last": [2, 17, 18, 20, 36, 45, 53, 60, 62], "slice": [2, 3, 45], "clear": [2, 3, 15, 33, 45, 71], "destroi": [2, 45], "postcondit": [2, 45], "own": [2, 3, 9, 17, 25, 38, 43, 45, 54, 68, 71, 72, 74, 78], "semant": [2, 3, 32, 37, 38, 39, 42, 44, 45, 47, 68], "held": 2, "explicit": [2, 10, 33, 44, 50, 54, 63, 78], "determin": [2, 4, 5, 7, 8, 9, 16, 19, 22, 30, 54, 58], "check": [2, 9, 18, 20, 31, 51, 52, 63, 67, 72, 74, 79, 80], "norm": [2, 17], "pre": [2, 3, 20, 31, 33, 51, 54, 63, 65, 72, 78, 80], "exist": [2, 3, 8, 15, 20, 29, 31, 32, 33, 38, 39, 58, 70, 72, 74, 78, 79, 80], "could": [2, 9, 10, 12, 18, 22, 29, 52, 56, 67, 72], "from_data": [2, 3, 50], "retriev": [2, 3, 23, 33, 50, 53, 63], "get_stat": [2, 3, 10, 14, 15, 16, 19, 20, 23, 29, 53, 60], "delet": [2, 45, 51, 74, 78], "cannot": [2, 3, 14, 29, 36, 37, 45, 47, 67, 74], "move": [2, 11, 45, 70, 72, 74, 79], "assign": [2, 9, 13, 43, 53, 54, 72], "qview": [2, 5, 10, 12, 14, 18, 36, 37, 44], "observe_result": [2, 3, 12, 33, 62], "encapsul": [2, 11, 33, 45, 53, 78], "observ": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 17, 19, 21, 22, 25, 27, 36, 50, 51, 53, 54, 55, 57, 62, 64, 65, 66, 67, 71, 79], "call": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 18, 20, 21, 22, 23, 25, 27, 29, 35, 36, 37, 40, 44, 50, 53, 54, 57, 58, 60, 63, 64, 65, 66, 67, 68, 71, 72, 74, 76], "measur": [2, 3, 5, 7, 9, 10, 11, 12, 14, 15, 17, 22, 23, 25, 30, 33, 34, 36, 37, 38, 40, 47, 50, 51, 53, 54, 56, 57, 58, 61, 63, 64, 68, 71, 79], "execut": [2, 4, 9, 14, 20, 29, 30, 31, 32, 33, 35, 37, 38, 43, 44, 50, 51, 53, 54, 57, 58, 59, 61, 62, 63, 64, 66, 68, 71, 74, 75, 76, 78, 79, 80], "ansatz": [2, 4, 6, 9, 13, 21, 22, 33, 36, 52, 53, 62], "circuit": [2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 27, 32, 33, 37, 38, 41, 42, 46, 47, 51, 52, 53, 54, 57, 58, 60, 62, 63, 68, 70], "global": [2, 3, 9, 13, 20, 33, 37, 52, 58, 63, 72], "expect": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 17, 19, 20, 21, 22, 23, 25, 27, 30, 33, 50, 52, 53, 54, 58, 61, 66, 72, 74, 78, 79], "h": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 27, 29, 33, 35, 36, 40, 41, 42, 44, 45, 47, 50, 51, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 76, 78, 79], "precomput": 2, "psi": [2, 6, 7, 10, 12, 15, 23, 29, 33, 36, 58, 67], "sample_result": [2, 3, 18, 23, 33, 63, 78], "wa": [2, 3, 4, 7, 9, 12, 20, 33, 53, 64, 68, 72, 75, 79], "shot": [2, 3, 8, 9, 10, 16, 17, 18, 23, 33, 36, 51, 54, 58, 63, 64, 67, 71], "base": [2, 3, 8, 9, 11, 14, 17, 18, 20, 22, 26, 31, 32, 33, 35, 39, 40, 45, 50, 52, 53, 54, 58, 66, 68, 71, 72, 74, 76, 80], "raw_data": [2, 9, 33], "raw": [2, 3, 9], "convers": [2, 33], "simpli": [2, 29, 67, 74, 79], "ignor": [2, 9, 18, 54], "fine": [2, 33, 64, 65, 67], "grain": [2, 33, 64, 65], "explicitli": [2, 9, 10, 47, 51, 54, 68, 76, 78], "request": [2, 3, 33, 51, 52, 53, 54, 63, 74], "oppos": [2, 78], "observe_data": 2, "spinoptyp": [2, 33], "sub": [2, 3, 32, 33, 36, 37, 45, 46, 50, 74], "id_coeffici": [2, 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16, 20, 22, 40, 47, 54, 63, 66, 74, 79], "char": [2, 36, 53, 58, 72, 78, 79], "invocationresultbuff": 2, "buffer": [2, 53, 78], "note": [2, 3, 9, 10, 13, 15, 17, 18, 19, 20, 23, 29, 36, 38, 47, 51, 52, 53, 58, 60, 63, 67, 68, 72, 74, 78], "need": [2, 3, 4, 5, 9, 13, 14, 17, 18, 22, 23, 25, 29, 47, 50, 51, 52, 53, 54, 58, 62, 63, 66, 71, 72, 74, 75, 78], "abl": [2, 9, 23, 33, 51, 52, 53, 58, 74, 78, 79], "job": [2, 13, 33, 51, 52, 53, 63, 74], "qpu": [2, 3, 10, 12, 22, 23, 27, 30, 31, 32, 33, 38, 43, 51, 53, 54, 57, 58, 62, 63, 66, 71, 78, 79, 80], "extra": [2, 11, 12, 40, 47, 51], "configur": [2, 8, 9, 21, 43, 51, 52, 53, 54, 63, 66, 68, 71, 72, 74, 75, 78, 79], "later": [2, 7, 9, 12, 15, 16, 33, 37, 53, 63, 72, 74], "server": [2, 51, 53, 63, 74], "file": [2, 4, 9, 33, 40, 51, 52, 53, 58, 59, 63, 66, 68, 70, 71, 72, 74, 75, 76, 78, 79], "read": [2, 3, 13, 18, 60, 63], "wrap": [2, 33, 35, 47, 50], "t": [2, 3, 4, 7, 8, 10, 14, 19, 20, 29, 31, 33, 36, 37, 40, 41, 50, 52, 54, 60, 63, 64, 67, 72, 74, 80], "case": [2, 3, 7, 8, 9, 12, 13, 14, 15, 16, 17, 22, 24, 25, 27, 33, 47, 50, 56, 60, 62, 72, 76, 78], "must": [2, 3, 16, 17, 18, 22, 23, 32, 33, 37, 39, 42, 45, 47, 50, 51, 54, 63, 67, 70, 71, 72, 74, 78, 79], "some": [2, 4, 8, 9, 11, 14, 15, 16, 18, 19, 22, 24, 28, 31, 33, 47, 52, 53, 54, 67, 68, 70, 71, 72, 74, 75, 78, 79, 80], "point": [2, 3, 9, 14, 29, 33, 37, 40, 53, 54, 68, 71, 72, 74], "same": [2, 3, 7, 9, 12, 13, 14, 15, 16, 17, 20, 22, 27, 29, 33, 47, 51, 53, 58, 63, 65, 66, 68, 71, 72, 74, 78], "runtim": [2, 9, 32, 33, 35, 38, 51, 52, 53, 54, 62, 68, 71, 74, 76], "_job": 2, "qpunamein": 2, "config": [2, 4, 54, 71, 72, 74, 79], "info": [2, 20, 52, 54, 59, 68], "requir": [2, 3, 4, 7, 8, 9, 10, 11, 14, 15, 18, 20, 22, 27, 29, 33, 37, 39, 40, 42, 44, 45, 47, 50, 51, 52, 53, 54, 63, 66, 67, 72, 75, 79], "date": 2, "even": [2, 7, 9, 13, 16, 18, 23, 31, 54, 72, 74, 78, 80], "face": [2, 20, 39], "itself": [2, 44, 47, 53, 72, 74], "collect": [2, 3, 4, 8, 12, 15, 58], 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11, 12, 14, 15, 16, 18, 19, 20, 22, 27, 36, 50, 63, 68, 72, 76, 79], "reach": [2, 16, 20, 66], "quantumkernel": [2, 33, 44], "arg": [2, 3, 9, 11, 14, 17, 33, 35, 40, 44, 50, 53, 58, 68, 74], "is_invocable_v": 2, "draw": [2, 3, 5, 6, 7, 9, 14, 17, 18, 20, 23, 25, 29, 58], "utf": [2, 3], "8": [2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 31, 33, 36, 37, 38, 49, 50, 51, 52, 53, 54, 63, 66, 68, 72, 74, 79, 80], "usag": [2, 3, 53, 66], "iostream": [2, 52, 56, 58, 63, 78], "mz": [2, 3, 5, 7, 10, 15, 17, 18, 23, 24, 33, 35, 36, 47, 51, 52, 53, 56, 58, 60, 63, 64, 65, 66, 67, 68, 78, 79], "cout": [2, 52, 58, 63, 78], "q0": [2, 3, 5, 6, 7, 9, 14, 16, 18, 20, 23, 25, 29, 47], "q1": [2, 3, 5, 7, 9, 14, 16, 18, 20, 23, 25, 29, 47], "ry": [2, 3, 6, 8, 9, 10, 11, 15, 27, 33, 36, 37, 40, 42, 52, 53, 60, 62], "59": [2, 3, 13, 33, 36, 53, 62], "callabl": [2, 3, 32, 33, 35, 36, 37, 56, 62, 64], "trivial": [2, 9, 16, 18, 33, 53, 62, 75], "signatur": [2, 3, 33, 35, 37, 65, 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"see": 71, "thi": 71, "sourc": 72, "prerequisit": 72, "toolchain": [72, 78], "host": [72, 74], "runtim": 72, "guid": 73, "docker": 74, "singular": 74, "wheel": 74, "pre": 74, "binari": [74, 78], "develop": 74, "v": 74, "connect": 74, "tunnel": 74, "ssh": 74, "dgx": 74, "jupyterlab": 74, "tool": [74, 77], "pypi": 74, "In": 74, "imag": 74, "updat": 74, "compat": 74, "system": 74, "next": 74, "step": 74, "cmake": 75, "project": 76, "other": 77, "softwar": 77, "call": 78, "interfac": 78, "between": 78, "differ": 78, "valid": 79, "version": 80}, "envversion": {"sphinx.domains.c": 2, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 8, "sphinx.domains.index": 1, "sphinx.domains.javascript": 2, "sphinx.domains.math": 2, "sphinx.domains.python": 3, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.intersphinx": 1, "nbsphinx": 4, "sphinx": 57}, "alltitles": {"CUDA-Q Backends": [[49, "cuda-q-backends"]], "Backend Targets": [[49, null]], "Specifications": [[46, "specifications"]], "Quantum Intrinsic Operations": [[40, "quantum-intrinsic-operations"]], "Operations on cudaq::qubit": [[40, "operations-on-cudaq-qubit"]], "Quantum Types": [[45, "quantum-types"]], "cudaq::qudit": [[45, "cudaq-qudit-levels"]], "cudaq::qubit": [[45, "cudaq-qubit"]], "Quantum Containers": [[45, "quantum-containers"]], "cudaq::qview": [[45, "cudaq-qview-levels-2"]], "cudaq::qvector": [[45, "cudaq-qvector-levels-2"]], "cudaq::qarray": [[45, "cudaq-qarray-n-levels-2"]], "cudaq::qspan (Deprecated. Use cudaq::qview instead.)": [[45, "cudaq-qspan-n-levels-deprecated-use-cudaq-qview-levels-instead"]], "cudaq::qreg (Deprecated. Use cudaq::qvector instead.)": [[45, "cudaq-qreg-n-levels-deprecated-use-cudaq-qvector-levels-instead"]], "Sub-circuit Synthesis": [[44, "sub-circuit-synthesis"]], "Common Quantum Programming Patterns": [[42, "common-quantum-programming-patterns"]], "Compute-Action-Uncompute": [[42, "compute-action-uncompute"]], "Quake Dialect": [[47, "quake-dialect"]], "General Introduction": [[47, "general-introduction"]], "Motivation": [[47, "motivation"]], "CUDA-Q Applications": [[48, "cuda-q-applications"]], "Quantum Operators": [[41, "quantum-operators"]], "cudaq::spin_op": [[41, "cudaq-spin-op"]], "Quantum Platform": [[43, "quantum-platform"]], "Control Flow": [[34, "control-flow"]], "Namespace and Standard": [[39, "namespace-and-standard"]], "Quantum Algorithmic Primitives": [[33, "quantum-algorithmic-primitives"]], "cudaq::sample": [[33, "cudaq-sample"]], "cudaq::observe": [[33, "cudaq-observe"]], "cudaq::optimizer (deprecated, functionality moved to CUDA-Q libraries)": [[33, "cudaq-optimizer-deprecated-functionality-moved-to-cuda-q-libraries"]], "cudaq::gradient (deprecated, functionality moved to CUDA-Q libraries)": [[33, "cudaq-gradient-deprecated-functionality-moved-to-cuda-q-libraries"]], "Example Programs": [[36, "example-programs"]], "Hello World - Simple Bell State": [[36, "hello-world-simple-bell-state"]], "GHZ State Preparation and Sampling": [[36, "ghz-state-preparation-and-sampling"]], "Quantum Phase Estimation": [[36, "quantum-phase-estimation"]], "Deuteron Binding Energy Parameter Sweep": [[36, "deuteron-binding-energy-parameter-sweep"]], "Grover\u2019s Algorithm": [[36, "grover-s-algorithm"]], "Iterative Phase Estimation": [[36, "iterative-phase-estimation"]], "CUDA-Q": [[30, "cuda-q"], [32, null]], "Contents": [[30, null], [73, null], [55, null]], "Machine Model": [[38, "machine-model"]], "Quantum Kernels": [[37, "quantum-kernels"]], "Just-in-Time Kernel Creation": [[35, "just-in-time-kernel-creation"]], "CUDA-Q Releases": [[31, "cuda-q-releases"]], "Language Specification": [[32, "language-specification"]], "Quantum Computing 101": [[67, "quantum-computing-101"]], "Quantum States": [[67, "quantum-states"]], "Quantum Gates": [[67, "quantum-gates"]], "Measurements": [[67, "measurements"], [24, "Measurements"]], "Computing Expectation Values": [[62, "computing-expectation-values"]], "Parallelizing across Multiple Processors": [[62, "parallelizing-across-multiple-processors"]], "Using Quantum Hardware Providers": [[63, "using-quantum-hardware-providers"]], "Amazon Braket": [[63, "amazon-braket"], [51, "amazon-braket"]], "IonQ": [[63, "ionq"], [51, "ionq"]], "IQM": [[63, "iqm"], [51, "iqm"]], "OQC": [[63, "oqc"], [51, "oqc"]], "ORCA Computing": [[63, "orca-computing"], [51, "orca-computing"]], "Quantinuum": [[63, "quantinuum"], [51, "quantinuum"]], "QuEra Computing": [[63, "quera-computing"], [51, "quera-computing"]], "Extending CUDA-Q": [[69, "extending-cuda-q"]], "Multi-control Synthesis": [[65, "multi-control-synthesis"]], "CUDA-Q by Example": [[61, "cuda-q-by-example"]], "Multi-GPU Workflows": [[66, "multi-gpu-workflows"]], "Available Targets": [[66, "available-targets"]], "Parallelization across Multiple Processors": [[66, "parallelization-across-multiple-processors"]], "Batching Hamiltonian Terms": [[66, "batching-hamiltonian-terms"]], "Circuit Batching": [[66, "circuit-batching"]], "Building Kernels": [[60, "building-kernels"]], "Working with the CUDA-Q IR": [[68, "working-with-the-cuda-q-ir"]], "Introduction": [[64, "introduction"], [74, "introduction"]], "CUDA-Q Versions": [[80, "cuda-q-versions"]], "Local Installation": [[74, "local-installation"]], "Docker": [[74, "docker"]], "Singularity": [[74, "singularity"]], "Python wheels": [[74, "python-wheels"]], "Pre-built binaries": [[74, "pre-built-binaries"]], "Development with VS Code": [[74, "development-with-vs-code"]], "Using a Docker container": [[74, "using-a-docker-container"]], "Using a Singularity container": [[74, "using-a-singularity-container"]], "Connecting to a Remote Host": [[74, "connecting-to-a-remote-host"]], "Developing with Remote Tunnels": [[74, "developing-with-remote-tunnels"]], "Remote Access via SSH": [[74, "remote-access-via-ssh"]], "DGX Cloud": [[74, "dgx-cloud"]], "Get Started": [[74, "get-started"]], "Use JupyterLab": [[74, "use-jupyterlab"]], "Use VS Code": [[74, "use-vs-code"]], "Additional CUDA Tools": [[74, "additional-cuda-tools"]], "Installation via PyPI": [[74, "installation-via-pypi"]], "Installation In Container Images": [[74, "installation-in-container-images"]], "Installing Pre-built Binaries": [[74, "installing-pre-built-binaries"]], "Distributed Computing with MPI": [[74, "distributed-computing-with-mpi"]], "Updating CUDA-Q": [[74, "updating-cuda-q"]], "Dependencies and Compatibility": [[74, "dependencies-and-compatibility"]], "Supported Systems": [[74, "id10"]], "Requirements for GPU Simulation": [[74, "id11"]], "Next Steps": [[74, "next-steps"]], "CUDA-Q and CMake": [[75, "cuda-q-and-cmake"]], "Extending CUDA-Q with a new Simulator": [[71, "extending-cuda-q-with-a-new-simulator"]], "CircuitSimulator": [[71, "circuitsimulator"]], "Required Circuit Simulator Subtype Method Overrides": [[71, "id1"]], "Let\u2019s see this in action": [[71, "let-s-see-this-in-action"]], "Integration with other Software Tools": [[77, "integration-with-other-software-tools"]], "Integrating with Third-Party Libraries": [[78, "integrating-with-third-party-libraries"]], "Calling a CUDA-Q library from C++": [[78, "calling-a-cuda-q-library-from-c"]], "Calling an C++ library from CUDA-Q": [[78, "calling-an-c-library-from-cuda-q"]], "Interfacing between binaries compiled with a different toolchains": [[78, "interfacing-between-binaries-compiled-with-a-different-toolchains"]], "Quick Start": [[79, "quick-start"], [52, "quick-start"], [50, "quick-start"]], "Install CUDA-Q": [[79, "install-cuda-q"]], "Validate your Installation": [[79, "validate-your-installation"]], "Installation from Source": [[72, "installation-from-source"]], "Prerequisites": [[72, "prerequisites"]], "Build Dependencies": [[72, "build-dependencies"]], "CUDA": [[72, "cuda"]], "Toolchain": [[72, "toolchain"]], "Building CUDA-Q": [[72, "building-cuda-q"]], "Python Support": [[72, "python-support"]], "C++ Support": [[72, "c-support"]], "Installation on the Host": [[72, "installation-on-the-host"]], "CUDA Runtime Libraries": [[72, "cuda-runtime-libraries"]], "MPI": [[72, "mpi"]], "Create your own CUDA-Q Compiler Pass": [[70, "create-your-own-cuda-q-compiler-pass"]], "Installation Guide": [[73, "installation-guide"]], "Using CUDA and CUDA-Q in a Project": [[76, "using-cuda-and-cuda-q-in-a-project"]], "CUDA-Q Simulation Backends": [[54, "cuda-q-simulation-backends"]], "State Vector Simulators": [[54, "state-vector-simulators"]], "Features": [[54, "features"]], "Single-GPU": [[54, "single-gpu"]], "Environment variable options supported in single-GPU mode": [[54, "id4"]], "Multi-node multi-GPU": [[54, "multi-node-multi-gpu"], [54, "id2"]], "Additional environment variable options for multi-node multi-GPU mode": [[54, "id5"]], "OpenMP CPU-only": [[54, "openmp-cpu-only"]], "Tensor Network Simulators": [[54, "tensor-network-simulators"]], "Matrix product state": [[54, "matrix-product-state"]], "Clifford-Only Simulator": [[54, "clifford-only-simulator"]], "Stim (CPU)": [[54, "stim-cpu"]], "Fermioniq": [[54, "fermioniq"]], "Default Simulator": [[54, "default-simulator"]], "Building your first CUDA-Q Program": [[56, "building-your-first-cuda-q-program"]], "Multi-Processor Platforms": [[53, "multi-processor-platforms"]], "NVIDIA MQPU Platform": [[53, "nvidia-mqpu-platform"]], "Parallel distribution mode": [[53, "parallel-distribution-mode"]], "Remote MQPU Platform": [[53, "remote-mqpu-platform"]], "Supported Kernel Arguments": [[53, "supported-kernel-arguments"]], "Kernel argument serialization": [[53, "id4"]], "Accessing Simulated Quantum State": [[53, "accessing-simulated-quantum-state"]], "NVIDIA Quantum Cloud": [[52, "nvidia-quantum-cloud"]], "Simulator Backend Selection": [[52, "simulator-backend-selection"]], "Multiple GPUs": [[52, "multiple-gpus"]], "Simulator Backends": [[52, "id1"]], "Multiple QPUs Asynchronous Execution": [[52, "multiple-qpus-asynchronous-execution"]], "FAQ": [[52, "faq"]], "CUDA-Q Basics": [[55, "cuda-q-basics"]], "CUDA-Q Hardware Backends": [[51, "cuda-q-hardware-backends"]], "Setting Credentials": [[51, "setting-credentials"], [51, "ionq-backend"], [51, "anyon-backend"], [51, "id7"], [51, "id10"], [51, "id13"], [51, "quantinuum-backend"], [51, "quera-backend"]], "Submission from C++": [[51, "submission-from-c"], [51, "id2"], [51, "id5"], [51, "id8"], [51, "id11"], [51, "id14"], [51, "id17"], [51, "id20"]], "Submission from Python": [[51, "submission-from-python"], [51, "id3"], [51, "id6"], [51, "id9"], [51, "id12"], [51, "id15"], [51, "id18"], [51, "id21"]], "Anyon Technologies/Anyon Computing": [[51, "anyon-technologies-anyon-computing"]], "CUDA-Q Dynamics": [[50, "cuda-q-dynamics"]], "Operator": [[50, "operator"]], "Builtin Operators": [[50, "id1"]], "Time-Dependent Dynamics": [[50, "time-dependent-dynamics"]], "Numerical Integrators": [[50, "numerical-integrators"], [50, "id2"]], "Running your first CUDA-Q Program": [[58, "running-your-first-cuda-q-program"]], "Sample": [[58, "sample"], [23, "Sample"]], "Observe": [[58, "observe"], [23, "Observe"]], "Running on a GPU": [[58, "running-on-a-gpu"]], "What is a CUDA-Q kernel?": [[57, "what-is-a-cuda-q-kernel"]], "Troubleshooting": [[59, "troubleshooting"]], "Debugging and Verbose Simulation Output": [[59, "debugging-and-verbose-simulation-output"]], "VQE with gradients, active spaces, and gate fusion": [[22, "VQE-with-gradients,-active-spaces,-and-gate-fusion"]], "The Basics of VQE": [[22, "The-Basics-of-VQE"]], "Installing/Loading Relevant Packages": [[22, "Installing/Loading-Relevant-Packages"]], "Implementing VQE in CUDA-Q": [[22, "Implementing-VQE-in-CUDA-Q"]], "Parallel Parameter Shift Gradients": [[22, "Parallel-Parameter-Shift-Gradients"], [27, "Parallel-Parameter-Shift-Gradients"]], "Using an Active Space": [[22, "Using-an-Active-Space"]], "Gate Fusion for Larger Circuits": [[22, "Gate-Fusion-for-Larger-Circuits"]], "Visualization": [[29, "Visualization"]], "Qubit Visualization": [[29, "Qubit-Visualization"]], "Kernel Visualization": [[29, "Kernel-Visualization"]], "Compiling Unitaries Using Diffusion Models": [[20, "Compiling-Unitaries-Using-Diffusion-Models"]], "Diffusion model pipeline": [[20, "Diffusion-model-pipeline"]], "Setup and compilation": [[20, "Setup-and-compilation"]], "Load model": [[20, "Load-model"]], "Unitary compilation": [[20, "Unitary-compilation"]], "Convert tensors to CUDA-Q": [[20, "Convert-tensors-to-CUDA-Q"]], "Evaluate generated circuits": [[20, "Evaluate-generated-circuits"]], "Simulate kernels": [[20, "Simulate-kernels"]], "Compare unitaries": [[20, "Compare-unitaries"]], "Choosing the circuit you need": [[20, "Choosing-the-circuit-you-need"]], "Noisy Simulation": [[25, "Noisy-Simulation"], [3, "noisy-simulation"]], "Operators": [[26, "Operators"], [2, "operators"]], "Constructing Spin Operators": [[26, "Constructing-Spin-Operators"]], "Pauli Words and Exponentiating Pauli Words": [[26, "Pauli-Words-and-Exponentiating-Pauli-Words"]], "Variational Quantum Eigensolver": [[21, "Variational-Quantum-Eigensolver"]], "Using CUDA-Q Optimizers": [[21, "Using-CUDA-Q-Optimizers"]], "Integration with Third-Party Optimizers": [[21, "Integration-with-Third-Party-Optimizers"]], "Optimizing Performance": [[28, "Optimizing-Performance"]], "Gate Fusion": [[28, "Gate-Fusion"]], "Executing Quantum Circuits": [[23, "Executing-Quantum-Circuits"]], "Get state": [[23, "Get-state"]], "Parallelization Techniques": [[23, "Parallelization-Techniques"]], "Observe Async": [[23, "Observe-Async"]], "Sample Async": [[23, "Sample-Async"]], "Get State Async": [[23, "Get-State-Async"]], "Midcircuit Measurement and Conditional Logic": [[24, "Midcircuit-Measurement-and-Conditional-Logic"]], "Optimizers and Gradients": [[27, "Optimizers-and-Gradients"]], "Built in CUDA-Q Optimizers and Gradients": [[27, "Built-in-CUDA-Q-Optimizers-and-Gradients"]], "Third-Party Optimizers": [[27, "Third-Party-Optimizers"]], "Quantum Volume": [[16, "Quantum-Volume"]], "Readout Error Mitigation": [[17, "Readout-Error-Mitigation"]], "Inverse confusion matrix from single-qubit noise model": [[17, "Inverse-confusion-matrix-from-single-qubit-noise-model"]], "Inverse confusion matrix from k local confusion matrices": [[17, "Inverse-confusion-matrix-from-k-local-confusion-matrices"]], "Inverse of full confusion matrix": [[17, "Inverse-of-full-confusion-matrix"]], "Using the Hadamard Test to Determine Quantum Krylov Subspace Decomposition Matrix Elements": [[10, "Using-the-Hadamard-Test-to-Determine-Quantum-Krylov-Subspace-Decomposition-Matrix-Elements"]], "Numerical result as a reference:": [[10, "Numerical-result-as-a-reference:"]], "Using Sample to perform the Hadamard test": [[10, "Using-Sample-to-perform-the-Hadamard-test"]], "Multi-GPU evaluation of QKSD matrix elements using the Hadamard Test": [[10, "Multi-GPU-evaluation-of-QKSD-matrix-elements-using-the-Hadamard-Test"]], "Classically Diagonalize the Subspace Matrix": [[10, "Classically-Diagonalize-the-Subspace-Matrix"]], "Quantum Fourier Transform": [[14, "Quantum-Fourier-Transform"]], "Quantum Fourier Transform revisited": [[14, "Quantum-Fourier-Transform-revisited"]], "Quantum Teleporation": [[15, "Quantum-Teleporation"]], "Teleportation explained": [[15, "Teleportation-explained"]], "Max-Cut with QAOA": [[13, "Max-Cut-with-QAOA"]], "Multi-reference Quantum Krylov Algorithm - H_2 Molecule": [[12, "Multi-reference-Quantum-Krylov-Algorithm---H_2-Molecule"]], "Setup": [[12, "Setup"]], "Computing the matrix elements": [[12, "Computing-the-matrix-elements"]], "Determining the ground state energy of the Subspace": [[12, "Determining-the-ground-state-energy-of-the-Subspace"]], "Factoring Integers With Shor\u2019s Algorithm": [[18, "Factoring-Integers-With-Shor's-Algorithm"]], "Shor\u2019s algorithm": [[18, "Shor's-algorithm"]], "Solving the order-finding problem classically": [[18, "Solving-the-order-finding-problem-classically"]], "Solving the order-finding problem with a quantum algorithm": [[18, "Solving-the-order-finding-problem-with-a-quantum-algorithm"]], "Inverse quantum Fourier transform": [[18, "Inverse-quantum-Fourier-transform"]], "Quantum kernels for modular exponentiation": [[18, "Quantum-kernels-for-modular-exponentiation"]], "The case N = 21 and a = 5:": [[18, "The-case-N-=-21-and-a-=-5:"]], "The case N = 21 and a = 4:": [[18, "The-case-N-=-21-and-a-=-4:"]], "Determining the order from the measurement results of the phase kernel": [[18, "Determining-the-order-from-the-measurement-results-of-the-phase-kernel"]], "Postscript": [[18, "Postscript"]], "Hybrid Quantum Neural Networks": [[11, "Hybrid-Quantum-Neural-Networks"]], "Computing Magnetization With The Suzuki-Trotter Approximation": [[19, "Computing-Magnetization-With-The-Suzuki-Trotter-Approximation"]], "Problem Setup": [[19, "Problem-Setup"]], "Running the Simulation": [[19, "Running-the-Simulation"]], "CUDA-Q C++ API": [[2, "cuda-q-c-api"]], "Quantum": [[2, "quantum"]], "Common": [[2, "common"]], "Noise Modeling": [[2, "noise-modeling"]], "Kernel Builder": [[2, "kernel-builder"]], "Algorithms": [[2, "algorithms"]], "Platform": [[2, "platform"]], "Utilities": [[2, "utilities"]], "Namespaces": [[2, "namespaces"]], "Molecular docking via DC-QAOA": [[8, "Molecular-docking-via-DC-QAOA"]], "Setting up the Molecular Docking Problem": [[8, "Setting-up-the-Molecular-Docking-Problem"]], "CUDA-Q Implementation": [[8, "CUDA-Q-Implementation"]], "Divisive Clustering With Coresets Using CUDA-Q": [[9, "Divisive-Clustering-With-Coresets-Using-CUDA-Q"]], "Data preprocessing": [[9, "Data-preprocessing"]], "Quantum functions": [[9, "Quantum-functions"]], "Divisive Clustering Function": [[9, "Divisive-Clustering-Function"]], "QAOA Implementation": [[9, "QAOA-Implementation"]], "Scaling simulations with CUDA-Q": [[9, "Scaling-simulations-with-CUDA-Q"]], "Quantum Operations": [[1, "quantum-operations"]], "Unitary Operations on Qubits": [[1, "unitary-operations-on-qubits"]], "x": [[1, "x"]], "y": [[1, "y"]], "z": [[1, "z"]], "h": [[1, "h"]], "r1": [[1, "r1"]], "rx": [[1, "rx"]], "ry": [[1, "ry"]], "rz": [[1, "rz"]], "s": [[1, "s"]], "t": [[1, "t"]], "swap": [[1, "swap"]], "u3": [[1, "u3"]], "Adjoint and Controlled Operations": [[1, "adjoint-and-controlled-operations"]], "Measurements on Qubits": [[1, "measurements-on-qubits"]], "mz": [[1, "mz"], [1, "id1"]], "mx": [[1, "mx"]], "my": [[1, "my"]], "User-Defined Custom Operations": [[1, "user-defined-custom-operations"]], "Photonic Operations on Qudits": [[1, "photonic-operations-on-qudits"]], "create": [[1, "create"]], "annihilate": [[1, 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13, 15, 18, 19, 20, 24, 28, 30, 33, 38, 47, 52, 53, 54, 78, 79], "backend": [1, 2, 5, 6, 8, 9, 10, 16, 22, 27, 28, 30, 31, 33, 50, 53, 58, 63, 66, 68, 71, 72, 74, 78, 79, 80], "architectur": [1, 2, 11, 30, 32, 38, 47, 51, 53, 63, 66, 67, 71, 72, 74, 79], "nvq": [1, 33, 36, 51, 52, 53, 54, 58, 62, 63, 64, 65, 68, 71, 74, 75, 76, 78, 79], "compil": [1, 2, 3, 9, 30, 32, 33, 36, 37, 38, 42, 44, 45, 51, 52, 53, 54, 58, 62, 63, 64, 65, 68, 71, 72, 74, 75, 76, 79], "automat": [1, 3, 22, 38, 51, 53, 54, 63, 72, 74, 78], "decompos": [1, 4, 16, 20], "appropri": [1, 2, 7, 8, 9, 14, 15, 32, 40, 53, 60, 72, 74], "The": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 58, 60, 62, 63, 64, 66, 67, 68, 70, 71, 72, 74, 76, 78, 79, 80], "section": [1, 7, 8, 10, 14, 18, 20, 22, 26, 28, 35, 53, 54, 60, 72, 74, 78, 79], "list": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 26, 27, 29, 31, 33, 37, 49, 50, 51, 52, 54, 60, 63, 66, 67, 72, 74, 78, 79, 80], "implement": [1, 2, 3, 4, 7, 10, 12, 13, 14, 15, 16, 18, 19, 20, 25, 32, 33, 38, 39, 40, 42, 44, 45, 47, 51, 54, 63, 64, 68, 70, 71, 72, 74, 78], "transform": [1, 4, 7, 11, 12, 20, 22, 30, 32, 36, 68, 70], "state": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 29, 31, 33, 37, 38, 40, 45, 47, 50, 51, 52, 56, 58, 60, 62, 63, 64, 66, 71, 72, 78, 79, 80], "ar": [1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 40, 42, 44, 45, 46, 47, 50, 51, 52, 53, 54, 57, 58, 60, 61, 62, 63, 64, 66, 67, 68, 71, 72, 74, 76, 78, 79, 80], "templat": [1, 2, 21, 33, 35, 36, 37, 40, 44, 45, 64, 68, 70, 71, 76, 78], "argument": [1, 2, 3, 7, 9, 13, 15, 17, 23, 24, 29, 33, 35, 37, 44, 45, 50, 51, 56, 58, 62, 65, 66, 68, 71, 74, 78], "allow": [1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 15, 19, 20, 22, 23, 27, 31, 33, 35, 37, 38, 50, 54, 56, 57, 58, 65, 66, 67, 68, 70, 74, 75, 80], "invok": [1, 2, 3, 33, 35, 37, 42, 51, 54, 64, 68, 78], "version": [1, 3, 4, 5, 7, 11, 13, 14, 18, 20, 23, 30, 31, 33, 42, 49, 50, 51, 52, 53, 54, 58, 68, 71, 72, 74, 75, 78, 79], "see": [1, 2, 3, 5, 6, 7, 8, 9, 14, 15, 16, 18, 20, 22, 28, 29, 31, 33, 35, 37, 45, 47, 49, 50, 51, 52, 53, 54, 56, 58, 64, 66, 67, 68, 70, 72, 74, 75, 76, 78, 79, 80], "addition": [1, 18, 31, 74, 80], "overload": [1, 3, 33, 40, 41, 45, 47], "broadcast": [1, 2, 3, 12, 13, 40], "singl": [1, 2, 3, 4, 5, 9, 12, 14, 15, 16, 19, 21, 22, 28, 29, 33, 36, 37, 38, 40, 45, 50, 51, 52, 53, 58, 60, 62, 63, 64, 66, 67, 68, 78], "across": [1, 2, 3, 7, 10, 20, 22, 31, 40, 52, 53, 54, 63, 72, 74, 80], "vector": [1, 2, 3, 4, 6, 9, 10, 11, 12, 15, 16, 20, 29, 33, 35, 36, 37, 40, 43, 45, 47, 51, 52, 53, 60, 63, 64, 65, 66, 71, 72], "For": [1, 2, 3, 4, 5, 7, 9, 10, 13, 14, 16, 17, 18, 20, 26, 29, 31, 33, 35, 40, 47, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 63, 65, 66, 67, 71, 72, 74, 76, 78, 79, 80], "exampl": [1, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 40, 46, 47, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 66, 67, 70, 71, 72, 74, 75, 76, 78, 79, 80], "cudaq": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 34, 35, 36, 37, 39, 42, 43, 44, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 78, 79], "qvector": [1, 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 33, 36, 37, 40, 44, 52, 53, 56, 58, 60, 62, 63, 65, 66, 67, 68, 78, 79], "flip": [1, 2, 3, 6, 16, 17, 25, 67], "each": [1, 2, 3, 5, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 22, 23, 27, 29, 31, 33, 35, 38, 43, 47, 50, 51, 52, 53, 54, 58, 63, 66, 67, 68, 72, 74, 78, 79, 80], "thi": [1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 32, 33, 35, 36, 37, 38, 39, 40, 42, 45, 47, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 72, 74, 75, 76, 78, 79], "pauli": [1, 2, 3, 8, 9, 10, 12, 13, 15, 19, 23, 33, 41, 50, 58, 67], "matrix": [1, 2, 3, 4, 13, 15, 16, 19, 20, 23, 25, 29, 30, 31, 49, 50, 52, 60, 67, 71, 80], "It": [1, 2, 4, 7, 9, 14, 15, 16, 17, 19, 22, 30, 31, 33, 40, 45, 47, 50, 53, 58, 60, 63, 67, 68, 71, 74, 76, 79, 80], "i": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 45, 47, 49, 50, 51, 52, 53, 54, 55, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "also": [1, 2, 3, 7, 9, 14, 17, 18, 20, 21, 23, 25, 27, 29, 31, 33, 37, 41, 50, 51, 52, 53, 54, 56, 57, 58, 60, 63, 66, 67, 68, 70, 71, 72, 74, 76, 79, 80], "known": [1, 2, 18, 20, 22, 37, 64, 68], "NOT": [1, 33, 40, 67], "gate": [1, 2, 3, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 25, 29, 30, 31, 40, 44, 45, 47, 51, 54, 56, 60, 64, 65, 71, 80], "appli": [1, 2, 3, 5, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 25, 26, 33, 36, 37, 40, 44, 47, 52, 53, 56, 60, 63, 64, 65, 67, 68, 71], "0": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 35, 36, 37, 40, 41, 42, 43, 45, 47, 49, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 72, 74, 76, 78, 79, 80], "1": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 71, 72, 74, 78, 79, 80], "rotat": [1, 3, 9, 10, 13, 14, 17, 18, 25, 29, 40, 41, 56, 62, 71], "\u03c0": 1, "about": [1, 2, 3, 7, 9, 17, 18, 19, 20, 21, 29, 31, 33, 47, 50, 51, 52, 53, 54, 57, 58, 63, 66, 72, 74, 76, 77, 78, 79, 80], "axi": [1, 11, 20, 21, 29], "enabl": [1, 2, 3, 5, 9, 14, 23, 32, 33, 35, 37, 38, 40, 42, 43, 44, 45, 49, 50, 51, 53, 54, 57, 58, 62, 63, 66, 68, 71, 72, 74, 78, 79], "one": [1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 18, 19, 20, 22, 23, 29, 31, 33, 35, 36, 38, 40, 43, 47, 50, 51, 52, 53, 54, 59, 60, 62, 63, 65, 66, 67, 68, 70, 71, 72, 74, 78, 79, 80], "superposit": [1, 5, 7, 13, 29, 33, 36, 45, 53, 56, 58, 67], "comput": [1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 23, 25, 27, 29, 30, 32, 33, 35, 36, 37, 43, 45, 47, 52, 53, 54, 57, 58, 61, 66, 71, 72, 76, 78, 79], "basi": [1, 2, 3, 4, 10, 12, 14, 17, 20, 22, 23, 24, 25, 45, 52, 53, 67], "sqrt": [1, 3, 5, 7, 10, 12, 14, 15, 17, 25, 29, 36, 50, 63, 67, 79], "2": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 47, 50, 51, 52, 53, 54, 58, 60, 62, 63, 65, 66, 67, 68, 72, 74, 76, 78, 79, 80], "an": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 74, 76, 79, 80], "arbitrari": [1, 2, 3, 20, 50, 51, 65, 78], "\u03bb": 1, "exp": [1, 2, 12, 18, 36, 41, 50], "i\u03bb": 1, "math": [1, 4, 7, 18, 52], "pi": [1, 8, 9, 11, 13, 14, 16, 18, 19, 21, 22, 27, 29, 36, 37, 42, 44, 50, 51, 52, 63], "std": [1, 2, 3, 33, 35, 36, 37, 40, 41, 43, 44, 45, 52, 53, 58, 63, 64, 66, 70, 71, 76, 78], "number": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 23, 26, 27, 29, 33, 36, 41, 43, 45, 47, 50, 51, 52, 53, 54, 56, 58, 62, 63, 64, 65, 66, 67, 68, 71, 74, 79], "\u03b8": 1, "co": [1, 14, 19, 29, 50], "isin": 1, "sin": [1, 14, 29], "its": [1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 25, 31, 32, 33, 43, 45, 47, 48, 52, 53, 54, 58, 60, 63, 64, 67, 68, 71, 72, 74, 78, 79, 80], "4": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 31, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 51, 52, 53, 54, 60, 63, 66, 68, 72, 74, 78, 80], "i\u03c0": 1, "two": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 20, 22, 25, 27, 29, 38, 47, 50, 51, 53, 54, 58, 60, 62, 63, 65, 67, 74, 78], "qubit_1": [1, 7, 13, 60], "qubit_2": [1, 15], "univers": [1, 2, 9, 15, 20, 52, 67], "three": [1, 10, 17, 18, 20, 22, 38, 51, 52, 62], "paramet": [1, 2, 3, 6, 8, 9, 11, 12, 13, 16, 18, 20, 21, 23, 33, 37, 40, 45, 50, 51, 52, 54, 56, 60, 62, 63, 64, 66, 71, 72], "euler": [1, 50], "angl": [1, 2, 3, 6, 10, 14, 17, 18, 27, 29, 36, 37, 40, 53, 56, 62, 63], "theta": [1, 8, 9, 10, 11, 13, 14, 21, 22, 25, 27, 29, 33, 35, 36, 52, 53, 60, 62], "phi": [1, 3, 4, 10, 33, 35, 51, 63, 68], "\u03c6": 1, "lambda": [1, 2, 8, 9, 12, 13, 17, 18, 19, 22, 27, 33, 36, 37, 42, 50, 63, 65, 66, 68], "i\u03c6": 1, "np": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 36, 37, 42, 44, 50, 51, 53, 54, 60, 63, 66, 72], "m_pi": [1, 36, 44, 63], "m_pi_2": [1, 36, 37, 52], "adj": [1, 40, 60], "method": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 17, 18, 19, 20, 21, 22, 26, 27, 33, 35, 40, 45, 50, 51, 53, 54, 58, 60, 64], "ani": [1, 2, 3, 9, 12, 13, 18, 19, 20, 22, 23, 25, 27, 29, 33, 37, 39, 40, 42, 44, 45, 50, 51, 52, 54, 56, 58, 59, 60, 63, 64, 65, 71, 72, 74, 78, 79], "alloc": [1, 2, 3, 6, 13, 20, 33, 35, 36, 37, 38, 45, 53, 54, 56, 58, 64, 65, 71], "now": [1, 4, 5, 7, 9, 10, 13, 14, 15, 18, 20, 21, 22, 31, 47, 58, 63, 64, 65, 66, 74, 79, 80], "again": [1, 5, 22, 23, 33, 47, 74, 76], "initi": [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 15, 18, 19, 21, 22, 27, 33, 50, 51, 53, 60, 63, 66, 67, 72, 74], "ctrl": [1, 2, 5, 7, 13, 16, 18, 23, 27, 29, 33, 35, 36, 40, 52, 53, 56, 60, 62, 63, 64, 65, 67, 68, 74, 79], "condit": [1, 2, 14, 15, 20, 25, 33, 34, 35, 37, 38, 54, 57, 67, 68], "more": [1, 2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 18, 20, 22, 26, 29, 31, 35, 38, 40, 41, 47, 51, 52, 53, 54, 57, 58, 60, 63, 66, 67, 72, 74, 76, 78, 79, 80], "wikipedia": [1, 50], "entri": [1, 3, 12, 33, 37, 53, 60, 63, 68, 74, 78], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 4, 9, 15, 23, 25, 27, 58, 66, 67, 78, 79], "11": [1, 3, 4, 9, 11, 15, 16, 17, 19, 20, 22, 23, 25, 27, 29, 33, 58, 66, 67, 68, 72, 74, 78, 79], "onli": [1, 2, 3, 5, 9, 15, 17, 18, 20, 22, 23, 24, 29, 33, 37, 38, 42, 45, 47, 50, 51, 52, 53, 57, 63, 67, 68, 70, 72, 74, 78, 79], "both": [1, 3, 4, 5, 7, 11, 18, 38, 47, 51, 53, 54, 67, 72, 74, 76], "000": [1, 14, 15, 17, 18, 52, 58], "111": [1, 9, 14, 15, 17, 18], "follow": [1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 20, 22, 23, 24, 26, 27, 29, 31, 33, 35, 37, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 58, 59, 60, 62, 63, 64, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "common": [1, 3, 9, 10, 17, 18, 20, 21, 22, 33, 37, 40, 41, 68, 72], "convent": [1, 8, 11, 13, 23], "all": [1, 2, 3, 9, 15, 16, 17, 18, 19, 20, 22, 23, 27, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 45, 47, 51, 52, 53, 54, 58, 60, 62, 63, 66, 67, 68, 72, 74, 75, 76, 78, 79, 80], "howev": [1, 4, 9, 14, 15, 17, 20, 22, 23, 47, 50, 51, 53, 78], "behavior": [1, 2, 3, 9, 22, 54], "chang": [1, 2, 5, 9, 14, 18, 28, 31, 33, 37, 50, 58, 74, 79, 80], "instead": [1, 2, 4, 9, 25, 39, 42, 53, 54, 58, 72, 74, 78], "when": [1, 2, 3, 9, 12, 13, 17, 18, 20, 33, 38, 45, 47, 52, 53, 54, 58, 62, 63, 64, 68, 71, 72, 74, 78, 79], "negat": [1, 2, 3, 40, 44, 45], "polar": [1, 40, 44, 54], "syntax": [1, 9, 31, 32, 37, 38, 40, 42, 51, 60, 63, 76, 80], "preced": [1, 40, 51], "01": [1, 4, 7, 15, 20, 25, 27, 67], "10": [1, 4, 7, 9, 10, 11, 12, 13, 15, 16, 17, 19, 20, 22, 25, 27, 29, 33, 36, 37, 54, 58, 60, 63, 64, 66, 67, 68, 72, 74, 76], "notat": [1, 15, 67], "context": [1, 2, 11, 38, 53, 54, 71], "valid": [1, 2, 3, 30, 37, 51, 54, 60, 63, 72, 74, 78], "either": [1, 7, 11, 13, 18, 38, 51, 53, 54, 63, 67, 72, 74, 79], "similarli": [1, 7, 22, 53, 59, 67], "condition": 1, "respect": [1, 2, 3, 4, 8, 13, 18, 22, 27, 33, 50, 51, 53, 58, 62, 66, 67, 72, 74, 79], "e": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 26, 29, 32, 33, 34, 36, 37, 38, 39, 40, 41, 47, 50, 51, 52, 53, 54, 63, 68, 71, 72, 74, 78, 79], "project": [1, 54, 71, 72, 74, 75, 78], "onto": [1, 67], "eigenvector": [1, 2, 10, 12], "non": [1, 2, 3, 8, 10, 12, 17, 18, 33, 37, 38, 45, 53, 54, 58, 62, 64], "linear": [1, 5, 9, 11, 12, 14, 21, 25, 52, 58, 63, 67], "avail": [1, 2, 3, 8, 9, 10, 20, 22, 27, 30, 31, 32, 33, 37, 38, 40, 43, 44, 45, 46, 49, 51, 52, 53, 54, 57, 58, 60, 61, 62, 63, 68, 72, 74, 79, 80], "first": [1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 27, 29, 30, 33, 45, 51, 52, 53, 54, 55, 60, 62, 63, 64, 65, 68, 74, 79], "api": [1, 23, 26, 29, 30, 33, 35, 39, 40, 43, 45, 50, 51, 52, 53, 54, 58, 60, 64, 71, 72, 74, 76, 78], "regist": [1, 2, 3, 5, 10, 14, 18, 21, 24, 33, 36, 38, 45, 51, 53, 60, 63, 64, 65, 68, 71], "outsid": [1, 9, 74, 78], "Then": [1, 17, 20, 24, 51, 63, 70, 71], "within": [1, 2, 3, 21, 33, 37, 39, 41, 45, 51, 53, 54, 57, 58, 60, 63, 64, 67, 70, 72, 74, 75, 76, 78, 79], "like": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 18, 20, 21, 22, 23, 27, 28, 31, 33, 37, 45, 51, 53, 58, 60, 63, 64, 66, 67, 68, 72, 74, 75, 78, 79, 80], "built": [1, 2, 4, 6, 9, 12, 14, 22, 23, 25, 31, 51, 54, 57, 58, 72, 78, 79, 80], "abov": [1, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 22, 23, 33, 35, 40, 50, 51, 52, 53, 54, 58, 60, 62, 63, 65, 67, 68, 71, 72, 74, 76, 78, 79], "level": [1, 2, 3, 22, 28, 31, 32, 33, 38, 40, 50, 52, 53, 54, 68, 71, 75, 80], "register_oper": [1, 60], "accept": [1, 2, 3, 22, 23, 56, 72, 74, 79], "identifi": [1, 2, 3, 4, 13, 18, 20, 72, 74], "string": [1, 2, 3, 5, 18, 26, 29, 33, 35, 36, 43, 50, 54, 58, 64, 68, 74, 78], "numpi": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 36, 50, 60, 63, 66, 72], "arrai": [1, 2, 3, 4, 7, 10, 12, 14, 15, 16, 17, 20, 23, 25, 27, 45, 47, 50, 51, 53, 54, 60, 63, 64, 66, 68], "complex": [1, 2, 3, 4, 8, 12, 15, 19, 25, 41, 47, 50, 53, 58, 60, 66, 67, 78], "A": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 21, 27, 28, 29, 33, 36, 37, 40, 47, 50, 51, 58, 60, 63, 65, 66, 67, 70, 71, 72, 74], "1d": [1, 2], "interpret": [1, 8, 57, 63, 72], "row": [1, 2, 3, 29, 60], "major": [1, 72], "import": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 36, 41, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 66, 67, 68, 72, 78, 79], "custom_h": 1, "custom_x": [1, 60], "def": [1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 33, 36, 37, 42, 44, 50, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 67, 74, 79], "bell": [1, 15, 33, 78], "sampl": [1, 2, 3, 5, 7, 8, 9, 13, 16, 17, 18, 20, 25, 35, 51, 52, 53, 54, 55, 57, 60, 63, 64, 65, 66, 67, 71, 74, 78, 79], "dump": [1, 2, 3, 25, 33, 36, 52, 53, 58, 63, 64, 66, 78, 79], "macro": [1, 71], "cudaq_register_oper": 1, "uniqu": [1, 2, 3, 9, 13, 17, 20, 33, 38, 40, 45, 53, 76], "name": [1, 2, 3, 9, 13, 15, 18, 33, 35, 40, 43, 49, 50, 51, 52, 53, 54, 62, 66, 67, 68, 71, 72, 74, 75, 78, 79], "represent": [1, 2, 3, 14, 15, 20, 23, 29, 33, 37, 47, 50, 54, 68, 70, 71], "includ": [1, 2, 3, 4, 12, 13, 16, 22, 31, 33, 36, 45, 50, 52, 56, 57, 58, 60, 62, 63, 64, 65, 68, 70, 71, 72, 74, 76, 78, 79, 80], "m_sqrt1_2": 1, "__qpu__": [1, 2, 33, 36, 37, 44, 52, 53, 56, 58, 62, 63, 64, 65, 68, 78, 79], "void": [1, 2, 3, 33, 35, 36, 37, 40, 41, 43, 44, 45, 56, 58, 63, 65, 68, 70, 71, 76, 78, 79], "bell_pair": [1, 2, 3], "r": [1, 4, 17, 18, 40, 45, 51, 52, 53, 54, 62, 63, 68, 74], "int": [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 25, 33, 36, 37, 44, 45, 50, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 68, 71, 72, 76, 78, 79], "main": [1, 4, 5, 9, 18, 20, 31, 33, 36, 47, 52, 58, 62, 63, 64, 65, 68, 72, 74, 76, 78, 79, 80], "auto": [1, 2, 33, 35, 36, 37, 41, 44, 45, 52, 53, 54, 56, 58, 62, 63, 64, 65, 68, 70, 78, 79], "count": [1, 2, 3, 5, 8, 9, 10, 12, 13, 17, 18, 23, 33, 35, 36, 45, 51, 52, 53, 54, 58, 63, 64, 65, 66, 68, 71], "bit": [1, 2, 3, 4, 5, 7, 15, 16, 17, 18, 23, 25, 33, 36, 38, 45, 47, 53, 54, 63, 64, 65, 67, 71], "printf": [1, 33, 36, 45, 53, 62, 64, 65, 72], "n": [1, 2, 4, 5, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 22, 33, 35, 36, 37, 40, 41, 44, 52, 53, 58, 60, 62, 63, 64, 65, 66, 67, 68, 72, 76, 79], "data": [1, 2, 8, 11, 12, 13, 14, 21, 30, 33, 37, 39, 41, 47, 53, 54, 62, 64, 65, 68, 71, 73, 74, 76, 78], "multi": [1, 4, 14, 15, 23, 29, 30, 31, 32, 35, 38, 40, 44, 49, 50, 51, 52, 58, 60, 61, 62, 67, 71, 72, 78, 79, 80], "msb": 1, "order": [1, 2, 3, 4, 9, 12, 13, 15, 29, 33, 41, 50, 51, 54, 58, 62], "big": [1, 8, 16, 23], "endian": [1, 16, 23], "show": [1, 8, 9, 11, 13, 14, 15, 17, 20, 21, 22, 29, 50, 53, 60, 62, 63, 72, 74], "differ": [1, 2, 3, 7, 9, 10, 11, 12, 14, 15, 17, 18, 22, 23, 27, 29, 47, 51, 52, 53, 57, 58, 63, 66, 72, 74, 76, 79], "test": [1, 9, 11, 12, 16, 17, 18, 22, 30, 35, 66, 72, 74], "cnot": [1, 5, 9, 40, 56, 60, 67, 78], "my_cnot": 1, "print": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29, 33, 36, 45, 50, 52, 53, 58, 60, 62, 63, 64, 65, 66, 67, 68, 72, 78, 79], "500": [1, 22, 67, 79], "exact": [1, 9, 10, 16, 20, 54], "random": [1, 2, 3, 4, 5, 8, 9, 13, 15, 16, 17, 18, 20, 21, 22, 27, 29, 53, 54, 66], "construct": [1, 2, 8, 9, 10, 12, 16, 17, 19, 22, 27, 29, 30, 33, 34, 35, 37, 45, 47, 50, 53, 56, 57, 58, 60, 61, 64, 68], "second": [1, 2, 3, 4, 7, 8, 9, 12, 13, 17, 19, 45, 50, 52, 54, 58, 60, 63], "1j": [1, 12], "xy": [1, 29], "kron": [1, 17], "my_xi": 1, "custom_xy_test": 1, "undo": 1, "prior": [1, 54, 63, 67, 72, 74, 79], "1000": [1, 3, 9, 11, 16, 17, 20, 23, 25, 33, 51, 58, 64, 66, 67, 79], "mycnot": 1, "myxi": 1, "hardwar": [1, 9, 14, 18, 20, 23, 30, 31, 49, 54, 58, 61, 78, 80], "synthes": [1, 3, 20, 40, 44, 68], "current": [1, 2, 3, 9, 29, 31, 33, 43, 51, 53, 54, 71, 74, 78, 80], "orca": [1, 2, 49], "which": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 27, 29, 31, 33, 35, 38, 41, 45, 47, 50, 51, 53, 54, 60, 62, 63, 64, 66, 67, 68, 71, 72, 74, 75, 78, 80], "doe": [1, 2, 3, 7, 9, 14, 15, 20, 29, 31, 33, 37, 45, 50, 52, 53, 72, 74, 76, 78, 79, 80], "increment": [1, 2, 66], "qumod": 1, "up": [1, 2, 3, 7, 9, 13, 14, 16, 20, 29, 35, 41, 50, 51, 54, 57, 62, 63, 66, 68, 71, 74], "maximum": [1, 3, 8, 9, 20, 54], "valu": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 27, 29, 30, 33, 35, 37, 41, 45, 47, 50, 52, 53, 54, 58, 61, 63, 66, 67, 68, 72, 78, 79], "repres": [1, 2, 3, 4, 7, 8, 9, 13, 14, 15, 20, 25, 29, 33, 47, 50, 51, 54, 63, 67, 68], "If": [1, 2, 3, 5, 7, 9, 11, 14, 15, 16, 17, 18, 19, 23, 24, 29, 33, 47, 50, 51, 52, 54, 58, 63, 66, 67, 72, 74, 78, 79], "where": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 22, 23, 28, 29, 32, 38, 40, 41, 45, 47, 50, 51, 54, 58, 60, 63, 66, 67, 71, 72, 74, 76, 79], "alreadi": [1, 2, 3, 18, 29, 72, 74, 79], "ha": [1, 2, 3, 4, 5, 7, 9, 13, 15, 16, 17, 18, 20, 23, 25, 27, 33, 40, 47, 51, 52, 54, 57, 58, 63, 66, 67, 72, 74, 78], "effect": [1, 20, 47, 54, 58, 66, 67, 79], "u": [1, 2, 5, 6, 7, 8, 9, 12, 13, 14, 15, 18, 20, 21, 23, 29, 36, 37, 41, 42, 50, 51, 56, 57, 58, 63, 65, 66, 67, 68], "rangl": [1, 4, 14, 17, 18, 20, 33, 79], "3": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 31, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 58, 60, 63, 65, 66, 68, 71, 72, 74, 75, 79, 80], "cdot": [1, 5, 9, 12, 18], "d": [1, 2, 3, 9, 12, 15, 36, 37, 38, 45, 51, 63, 72, 74], "reduc": [1, 2, 10, 17, 18, 54], "minimum": [1, 13, 21, 52], "vacuum": [1, 63], "phase": [1, 2, 3, 5, 12, 14, 20, 40, 51, 63], "shifter": [1, 63], "add": [1, 2, 3, 9, 12, 13, 21, 25, 29, 31, 42, 50, 54, 63, 64, 68, 70, 71, 72, 74, 80], "a_1": [1, 17, 18], "creation": [1, 2, 4, 9, 32, 46, 50, 71], "dagger": [1, 4, 10, 12, 20, 25, 42, 50, 67], "shift": [1, 11, 52, 74], "p": [1, 4, 8, 9, 10, 17, 25, 72, 74], "left": [1, 2, 4, 5, 7, 10, 12, 13, 14, 15, 23, 63, 71, 74], "right": [1, 4, 10, 13, 14], "17": [1, 9, 15, 16, 17, 20, 29, 60, 68, 76], "beam": [1, 51, 63], "splitter": [1, 51, 63], "act": [1, 2, 3, 6, 7, 9, 13, 26, 47, 50, 67], "togeth": [1, 17, 30, 54, 68, 79], "parameter": [1, 2, 3, 8, 9, 10, 13, 19, 21, 22, 33, 35, 37, 40, 50, 52, 57, 60, 62, 64, 66], "relat": [1, 2, 9, 13, 18, 20, 68], "reflect": [1, 36, 54], "a_2": [1, 18], "b": [1, 9, 22, 27, 33, 60, 63], "_": [1, 4, 7, 11, 17, 18, 20, 29, 50], "rang": [1, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 27, 29, 31, 36, 37, 44, 45, 50, 52, 53, 56, 60, 66, 74, 79, 80], "34": [1, 9, 17], "return": [1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 27, 29, 33, 35, 36, 37, 40, 45, 47, 50, 52, 53, 54, 58, 62, 63, 64, 66, 68, 70, 71, 72, 76, 78], "result": [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 33, 34, 35, 36, 38, 47, 50, 51, 52, 53, 54, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 74, 78, 79], "input": [1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14, 15, 20, 22, 26, 27, 33, 35, 36, 37, 44, 45, 53, 58, 60, 62, 63, 66], "class": [2, 3, 4, 9, 11, 20, 33, 35, 37, 41, 43, 45, 53, 54, 70, 71], "spin_op": [2, 8, 26, 33, 36, 40, 52, 53, 58, 62], "gener": [2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 17, 18, 21, 23, 26, 29, 33, 35, 36, 37, 38, 40, 41, 44, 46, 51, 52, 54, 57, 62, 63, 64, 65, 67, 68, 70, 74, 78], "sum": [2, 3, 4, 11, 12, 13, 16, 17, 20, 26, 41, 45, 63, 67], "tensor": [2, 3, 11, 17, 26, 31, 41, 52, 53, 71, 80], "product": [2, 3, 5, 17, 26, 30, 31, 41, 52, 79, 80], "expos": [2, 3, 9, 33, 35, 41, 43, 47, 53, 71], "typic": [2, 20, 33, 45, 52, 56, 57, 62, 68, 75, 76], "algebra": [2, 41, 62, 67], "programm": [2, 3, 33, 34, 35, 37, 38, 40, 42, 43, 45, 51, 53, 64], "defin": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 29, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 45, 50, 52, 53, 54, 56, 57, 58, 60, 62, 63, 64, 65, 67, 68, 71, 72, 74, 76, 78], "primit": [2, 13, 32, 35, 38, 41, 45, 46, 53, 57, 78], "them": [2, 3, 8, 9, 10, 15, 17, 20, 29, 31, 47, 50, 56, 67, 68, 72, 74, 76, 78, 79, 80], "compos": [2, 3, 11, 13, 20, 37, 38, 51, 63, 68], "larger": [2, 3, 9, 10, 13, 20, 52, 54], "thereof": [2, 38, 41], "public": [2, 9, 33, 35, 41, 43, 45, 53, 70, 71, 74], "type": [2, 4, 5, 6, 7, 9, 13, 14, 17, 19, 26, 32, 33, 35, 37, 38, 40, 41, 46, 50, 51, 53, 54, 56, 60, 62, 64, 67, 68, 71, 74, 78], "spin_op_term": 2, "bool": [2, 3, 33, 37, 40, 41, 43, 53, 71, 78], "we": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 20, 21, 23, 25, 29, 31, 33, 36, 40, 42, 47, 50, 51, 53, 54, 56, 57, 58, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80], "term": [2, 3, 4, 5, 8, 12, 13, 15, 18, 19, 22, 23, 33, 40, 50, 51, 53, 58, 62, 74], "binari": [2, 3, 5, 9, 11, 13, 14, 18, 23, 31, 51, 72, 76, 79, 80], "symplect": 2, "form": [2, 3, 9, 20, 22, 23, 29, 31, 33, 40, 45, 47, 50, 54, 68, 80], "size": [2, 3, 5, 8, 9, 10, 11, 12, 15, 16, 17, 18, 19, 33, 35, 36, 37, 38, 45, 52, 53, 54, 63, 64, 66, 74, 78], "nqubit": [2, 35, 36, 71], "element": [2, 3, 4, 14, 17, 18, 20, 27, 30, 33, 45, 53, 67], "x": [2, 3, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 33, 35, 36, 37, 40, 41, 42, 44, 50, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 65, 67, 68, 72, 74, 76, 79], "next": [2, 4, 5, 8, 9, 10, 12, 16, 18, 19, 20, 22, 27, 29, 47, 63, 64, 68, 72], "z": [2, 3, 6, 8, 9, 11, 12, 13, 15, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33, 36, 40, 41, 50, 52, 53, 58, 62, 64, 66, 72], "y": [2, 3, 5, 7, 8, 9, 11, 12, 14, 17, 18, 19, 23, 24, 26, 27, 29, 33, 36, 40, 41, 50, 52, 53, 58, 62, 64, 72, 74, 76, 79], "site": [2, 3, 8, 63, 79], "csr_spmatrix": 2, "tupl": [2, 3, 9, 27, 33, 37, 63], "doubl": [2, 3, 21, 22, 33, 35, 36, 37, 40, 41, 44, 52, 53, 54, 58, 62, 63, 71, 72, 74], "size_t": [2, 33, 35, 37, 41, 43, 45, 53, 63, 64, 71, 76, 78], "typedef": 2, "zero": [2, 3, 5, 6, 10, 11, 12, 17, 18, 20, 38, 50, 53, 58, 67], "spars": 2, "function": [2, 3, 5, 6, 7, 8, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 31, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 50, 51, 52, 53, 54, 56, 57, 58, 62, 64, 66, 68, 71, 76, 78, 80], "pair": [2, 3, 8, 12, 13, 15, 16, 37, 43, 47, 74], "const": [2, 33, 35, 36, 37, 40, 41, 43, 45, 52, 63, 70, 71, 76, 78], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 4, 5, 7, 9, 12, 13, 14, 16, 17, 19, 22, 27, 28, 31, 33, 35, 36, 37, 40, 41, 42, 43, 44, 45, 47, 51, 54, 57, 58, 60, 62, 63, 64, 65, 66, 68, 72, 74, 79, 80], "coeffici": [2, 3, 8, 12, 19, 26, 50, 67], "constant": [2, 7, 19, 45, 47, 68], "id": [2, 3, 33, 43, 45, 51, 53, 54, 72, 74], "coeff": 2, "qubit": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 33, 35, 36, 37, 38, 41, 43, 44, 47, 50, 51, 52, 53, 54, 56, 57, 58, 60, 62, 63, 64, 65, 66, 67, 68, 71, 74, 79], "unordered_map": [2, 33], "_term": 2, "full": [2, 3, 4, 18, 28, 31, 52, 53, 54, 66, 67, 68, 70, 72, 74, 75, 80], "composit": [2, 50], "spin": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 19, 22, 23, 25, 27, 33, 36, 41, 47, 50, 52, 53, 58, 62, 63, 66, 68], "op": [2, 3, 12, 19, 47, 62, 68], "map": [2, 3, 5, 8, 9, 17, 20, 22, 25, 33, 45, 50, 68, 74], "individu": [2, 3, 38, 45, 53, 60], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 25, 26, 27, 29, 31, 33, 34, 36, 37, 38, 41, 45, 47, 50, 52, 53, 54, 57, 58, 60, 62, 63, 66, 68, 71, 74, 75, 76, 79, 80], "creat": [2, 3, 5, 8, 9, 13, 14, 15, 17, 18, 20, 21, 25, 29, 30, 33, 35, 41, 44, 50, 51, 52, 53, 57, 58, 63, 64, 66, 68, 69, 71, 72, 74, 75, 76, 78, 79], "ident": [2, 12, 13, 17, 18, 20, 47, 50, 62], "numqubit": [2, 36], "given": [2, 3, 4, 7, 8, 9, 10, 13, 17, 18, 19, 20, 22, 23, 33, 45, 50, 51, 53, 54, 58, 62, 71], "o": [2, 9, 10, 14, 22, 36, 51, 52, 53, 54, 62, 63, 64, 65, 68, 72, 74, 76, 78, 79], "copi": [2, 15, 20, 29, 45, 47, 72, 74], "data_rep": 2, "serial": [2, 3, 12], "encod": [2, 3, 5, 9, 13, 18, 20, 33, 41, 53, 64, 67, 71], "via": [2, 3, 4, 5, 7, 11, 15, 20, 23, 25, 30, 32, 33, 35, 38, 40, 42, 44, 45, 47, 50, 51, 53, 54, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72], "real": [2, 8, 10, 12, 14, 16, 19, 20, 29, 57], "imaginari": [2, 4, 12], "part": [2, 3, 4, 12, 16, 18, 22, 33, 45, 68, 70, 72, 74], "append": [2, 3, 6, 8, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 27, 29, 37, 51, 53, 54, 60, 63, 66], "larg": [2, 4, 5, 12, 17, 22, 28, 40, 53, 54, 57, 67], "end": [2, 3, 4, 7, 10, 14, 15, 16, 17, 19, 20, 23, 25, 29, 33, 45, 51, 53, 54, 58, 60, 63, 67, 72, 74], "total": [2, 3, 4, 8, 9, 11, 12, 14, 20, 22, 52, 53, 54, 58, 63, 66, 74], "destructor": 2, "iter": [2, 3, 4, 9, 12, 18, 20, 22, 23, 26, 27, 33, 45], "begin": [2, 3, 4, 7, 9, 10, 12, 14, 15, 17, 18, 20, 21, 23, 25, 29, 33, 45, 56, 63, 64, 67], "start": [2, 3, 4, 6, 14, 15, 18, 20, 23, 30, 31, 40, 45, 51, 53, 58, 60, 63, 68, 70, 76, 80], "equal": [2, 10, 20, 23, 29, 47, 53, 54, 58, 67], "v": [2, 3, 4, 8, 10, 12, 13, 18, 33, 36, 37, 42, 47, 52, 66, 68, 72], "noexcept": [2, 40], "subtract": 2, "multipli": [2, 12, 18], "true": [2, 3, 4, 5, 9, 11, 12, 15, 16, 17, 18, 20, 22, 27, 33, 37, 50, 51, 66, 72, 74, 79], "here": [2, 3, 4, 5, 7, 8, 9, 10, 12, 14, 17, 18, 20, 21, 22, 23, 25, 26, 30, 31, 33, 35, 36, 37, 40, 42, 50, 51, 52, 53, 60, 62, 63, 64, 65, 68, 70, 72, 74, 78, 79, 80], "consid": [2, 4, 5, 7, 9, 16, 17, 18, 19, 20, 36, 38, 47, 52, 53, 68, 74], "num_qubit": [2, 3, 19, 41, 52], "num_term": [2, 41], "get_coeffici": [2, 8, 12, 19, 41], "get": [2, 3, 10, 12, 14, 16, 17, 18, 20, 22, 25, 27, 29, 31, 33, 35, 36, 45, 51, 52, 53, 58, 62, 63, 66, 71, 72, 76, 79, 80], "throw": [2, 29], "except": [2, 3, 9, 12, 20, 29, 78], "get_raw_data": 2, "is_ident": [2, 41], "standard": [2, 3, 10, 20, 22, 27, 32, 33, 34, 35, 37, 40, 46, 53, 56, 57, 68, 70, 72, 74, 76, 78], "out": [2, 3, 7, 8, 9, 11, 12, 13, 14, 15, 18, 20, 22, 25, 27, 31, 33, 38, 45, 47, 53, 54, 58, 59, 60, 62, 63, 71, 74, 75, 78, 80], "to_str": [2, 8, 12, 19, 58], "printcoeffici": 2, "getdatarepresent": 2, "getdatatupl": 2, "fulli": [2, 3, 9, 11, 20, 31, 32, 51, 53, 64, 68, 72, 74, 78, 80], "distribute_term": 2, "numchunk": 2, "distribut": [2, 10, 16, 17, 20, 22, 23, 25, 31, 38, 52, 54, 58, 62, 64, 72, 78, 79, 80], "chunk": [2, 38], "for_each_term": [2, 8, 12, 19, 41], "give": [2, 13, 14, 17, 23, 31, 33, 48, 53, 54, 72, 74, 80], "functor": 2, "reduct": 2, "captur": [2, 13, 18, 22, 29, 31, 37, 50, 60, 80], "variabl": [2, 9, 12, 13, 15, 18, 22, 28, 31, 37, 38, 50, 51, 52, 53, 59, 63, 66, 72, 74, 79, 80], "for_each_pauli": [2, 41], "thrown": [2, 78], "than": [2, 3, 12, 13, 14, 15, 16, 18, 19, 22, 23, 24, 29, 40, 47, 52, 54, 58, 60, 67, 72, 74, 78], "user": [2, 3, 4, 5, 8, 9, 17, 20, 28, 31, 33, 35, 36, 38, 39, 42, 45, 50, 51, 52, 53, 54, 63, 66, 68, 71, 72, 74, 80], "should": [2, 3, 14, 18, 19, 22, 32, 33, 38, 40, 41, 43, 45, 51, 53, 54, 58, 71, 72, 74, 78, 79], "pass": [2, 3, 8, 9, 11, 12, 16, 19, 22, 29, 30, 33, 37, 38, 41, 45, 51, 53, 54, 60, 63, 65, 68, 69, 74, 78], "index": [2, 3, 5, 9, 11, 12, 16, 41, 43, 45, 47, 50, 53, 54, 71], "complex_matrix": 2, "to_matrix": [2, 10, 12, 50], "dens": 2, "to_sparse_matrix": 2, "col": 2, "static": [2, 3, 33, 40, 45, 50, 68, 72, 78], "nterm": 2, "unsign": 2, "seed": [2, 3, 4, 8, 9, 13, 17, 20, 21, 22, 29, 54, 66], "random_devic": 2, "specifi": [2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 23, 24, 26, 27, 29, 33, 36, 37, 38, 40, 41, 42, 43, 45, 50, 51, 52, 53, 54, 58, 60, 63, 64, 66, 68, 71, 72, 74], "overrid": [2, 33, 54, 70, 72], "repeat": [2, 16, 17, 18, 22, 33], "from_word": 2, "pauliword": 2, "word": [2, 3, 8, 12, 18, 19], "g": [2, 3, 9, 13, 18, 19, 20, 26, 32, 33, 34, 37, 38, 39, 40, 41, 47, 50, 51, 52, 53, 54, 63, 68, 71, 72, 74, 75, 78, 79], "xyx": 2, "3rd": 2, "typenam": [2, 33, 35, 36, 37, 40, 44, 45, 76, 78], "qualifiedspinop": 2, "struct": [2, 33, 35, 36, 37, 40, 44, 52, 53, 62, 63, 64, 65, 68, 70, 78], "constexpr": [2, 35, 45, 52], "dyn": [2, 45], "qudit": [2, 34, 38, 40], "system": [2, 3, 4, 9, 12, 15, 19, 21, 22, 23, 28, 33, 38, 43, 45, 47, 50, 51, 53, 54, 57, 58, 62, 63, 66, 67, 70, 72, 75, 76, 78, 79], "inlin": [2, 33, 68], "new": [2, 3, 4, 7, 8, 9, 12, 14, 20, 30, 31, 33, 35, 47, 57, 68, 69, 72, 74, 78, 79, 80], "enable_if_t": 2, "qreg": [2, 3, 12, 13, 52], "contain": [2, 3, 4, 9, 10, 13, 17, 20, 30, 31, 33, 38, 40, 43, 47, 52, 54, 57, 58, 62, 63, 68, 71, 72, 78, 79, 80], "dynam": [2, 30, 35, 37, 38, 45, 51, 56, 57, 68, 78], "time": [2, 3, 4, 9, 10, 12, 13, 14, 16, 17, 18, 19, 22, 23, 24, 25, 29, 30, 32, 33, 36, 38, 45, 46, 51, 52, 53, 54, 58, 63, 64, 66, 67, 68, 72, 74, 79], "By": [2, 9, 10, 22, 28, 33, 40, 50, 51, 52, 53, 54, 58, 63, 76], "value_typ": 2, "indic": [2, 3, 4, 8, 20, 37, 40, 41, 45, 50, 71], "underli": [2, 3, 9, 22, 33, 43, 45, 51, 53, 71], "interfac": [2, 3, 45, 54, 71, 72, 74, 76], "idx": [2, 3, 11, 18, 20, 45, 50, 53], "qspan": 2, "front": [2, 36, 44, 45, 65], "back": [2, 20, 36, 45, 47, 53, 63, 64, 74], "last": [2, 17, 18, 20, 36, 45, 53, 60, 62], "slice": [2, 3, 45], "clear": [2, 3, 15, 33, 45, 71], "destroi": [2, 45], "postcondit": [2, 45], "own": [2, 3, 9, 17, 25, 38, 43, 45, 54, 68, 71, 72, 74, 78], "semant": [2, 3, 32, 37, 38, 39, 42, 44, 45, 47, 68], "held": 2, "explicit": [2, 10, 33, 44, 50, 54, 63, 78], "determin": [2, 4, 5, 7, 8, 9, 16, 19, 22, 30, 54, 58], "check": [2, 9, 18, 20, 31, 51, 52, 63, 67, 72, 74, 79, 80], "norm": [2, 17], "pre": [2, 3, 20, 31, 33, 51, 54, 63, 65, 72, 78, 80], "exist": [2, 3, 8, 15, 20, 29, 31, 32, 33, 38, 39, 58, 70, 72, 74, 78, 79, 80], "could": [2, 9, 10, 12, 18, 22, 29, 52, 56, 67, 72], "from_data": [2, 3, 50], "retriev": [2, 3, 23, 33, 50, 53, 63], "get_stat": [2, 3, 10, 14, 15, 16, 19, 20, 23, 29, 53, 60], "delet": [2, 45, 51, 74, 78], "cannot": [2, 3, 14, 29, 36, 37, 45, 47, 67, 74], "move": [2, 11, 45, 70, 72, 74, 79], "assign": [2, 9, 13, 43, 53, 54, 72], "qview": [2, 5, 10, 12, 14, 18, 36, 37, 44], "observe_result": [2, 3, 12, 33, 62], "encapsul": [2, 11, 33, 45, 53, 78], "observ": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 17, 19, 21, 22, 25, 27, 36, 50, 51, 53, 54, 55, 57, 62, 64, 65, 66, 67, 71, 79], "call": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 18, 20, 21, 22, 23, 25, 27, 29, 35, 36, 37, 40, 44, 50, 53, 54, 57, 58, 60, 63, 64, 65, 66, 67, 68, 71, 72, 74, 76], "measur": [2, 3, 5, 7, 9, 10, 11, 12, 14, 15, 17, 22, 23, 25, 30, 33, 34, 36, 37, 38, 40, 47, 50, 51, 53, 54, 56, 57, 58, 61, 63, 64, 68, 71, 79], "execut": [2, 4, 9, 14, 20, 29, 30, 31, 32, 33, 35, 37, 38, 43, 44, 50, 51, 53, 54, 57, 58, 59, 61, 62, 63, 64, 66, 68, 71, 74, 75, 76, 78, 79, 80], "ansatz": [2, 4, 6, 9, 13, 21, 22, 33, 36, 52, 53, 62], "circuit": [2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 27, 32, 33, 37, 38, 41, 42, 46, 47, 51, 52, 53, 54, 57, 58, 60, 62, 63, 68, 70], "global": [2, 3, 9, 13, 20, 33, 37, 52, 58, 63, 72], "expect": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 17, 19, 20, 21, 22, 23, 25, 27, 30, 33, 50, 52, 53, 54, 58, 61, 66, 72, 74, 78, 79], "h": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 27, 29, 33, 35, 36, 40, 41, 42, 44, 45, 47, 50, 51, 52, 53, 56, 58, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 76, 78, 79], "precomput": 2, "psi": [2, 6, 7, 10, 12, 15, 23, 29, 33, 36, 58, 67], "sample_result": [2, 3, 18, 23, 33, 63, 78], "wa": [2, 3, 4, 7, 9, 12, 20, 33, 53, 64, 68, 72, 75, 79], "shot": [2, 3, 8, 9, 10, 16, 17, 18, 23, 33, 36, 51, 54, 58, 63, 64, 67, 71], "base": [2, 3, 8, 9, 11, 14, 17, 18, 20, 22, 26, 31, 32, 33, 35, 39, 40, 45, 50, 52, 53, 54, 58, 66, 68, 71, 72, 74, 76, 80], "raw_data": [2, 9, 33], "raw": [2, 3, 9], "convers": [2, 33], "simpli": [2, 29, 67, 74, 79], "ignor": [2, 9, 18, 54], "fine": [2, 33, 64, 65, 67], "grain": [2, 33, 64, 65], "explicitli": [2, 9, 10, 47, 51, 54, 68, 76, 78], "request": [2, 3, 33, 51, 52, 53, 54, 63, 74], "oppos": [2, 78], "observe_data": 2, "spinoptyp": [2, 33], "sub": [2, 3, 32, 33, 36, 37, 45, 46, 50, 74], "id_coeffici": [2, 33], "executioncontext": 2, "abstract": [2, 3, 26, 32, 33, 35, 40, 41, 43, 45, 53, 57], "how": [2, 6, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 26, 27, 29, 31, 33, 35, 40, 50, 52, 53, 54, 57, 58, 60, 61, 63, 64, 65, 66, 68, 71, 72, 74, 75, 78, 79, 80], "shots_": 2, "member": [2, 3, 13, 37], "basic": [2, 6, 30, 52, 60, 74, 79], "option": [2, 3, 4, 7, 9, 12, 16, 17, 21, 22, 23, 27, 28, 33, 35, 40, 43, 50, 51, 52, 53, 58, 62, 63, 65, 66, 71, 72, 74], "invoc": [2, 3, 35, 37, 43, 45, 53, 54, 71], "expectationvalu": 2, "nullopt": 2, "optimization_result": [2, 33], "optresult": 2, "optim": [2, 4, 6, 8, 9, 11, 12, 13, 17, 18, 22, 30, 31, 32, 42, 45, 47, 50, 52, 54, 61, 68, 70, 72, 74, 80], "hasconditionalsonmeasureresult": 2, "fals": [2, 3, 4, 8, 9, 12, 15, 16, 18, 19, 20, 72, 74], "being": [2, 3, 5, 6, 15, 25, 32, 33, 47, 54, 63, 78], "statement": [2, 7, 24, 33, 34, 57], "noise_model": [2, 3, 16, 17, 25], "noisemodel": [2, 3, 16, 17, 25], "nullptr": 2, "canhandleobserv": 2, "flag": [2, 37, 50, 51, 53, 54, 63, 68, 70, 74, 78], "handl": [2, 3, 9, 19, 51, 52, 53, 54, 63, 71, 74, 78], "task": [2, 5, 9, 20, 23, 29, 33, 41, 53, 54, 58, 68, 71], "under": [2, 3, 17, 20, 50, 51, 70, 71, 72, 74, 78], "asyncexec": 2, "occur": [2, 3, 9, 12, 17, 24, 33, 38, 63, 67, 74], "asynchron": [2, 3, 10, 12, 23, 33, 43, 53, 58, 63, 66], "detail": [2, 3, 4, 8, 10, 13, 16, 31, 32, 38, 50, 51, 52, 54, 71, 72, 74, 79, 80], "futur": [2, 3, 33, 49, 51, 53, 54, 63, 72, 74], "futureresult": 2, "store": [2, 3, 4, 12, 15, 19, 38, 45, 53, 58, 63, 66, 67, 68], "async_result": [2, 63], "asyncresult": [2, 66], "async_sample_result": [2, 33, 53], "so": [2, 5, 8, 9, 10, 12, 13, 15, 16, 17, 18, 20, 22, 27, 29, 33, 50, 51, 53, 54, 64, 67, 68, 70, 71, 72, 74, 78, 79], "boundari": [2, 11], "unique_ptr": 2, "simulationst": 2, "pointer": [2, 3, 78], "simul": [2, 4, 6, 8, 10, 12, 16, 17, 18, 22, 23, 27, 28, 29, 30, 31, 32, 33, 49, 50, 51, 55, 57, 58, 61, 63, 64, 66, 68, 69, 72, 79, 80], "amplitudemap": 2, "amplitud": [2, 3, 5, 14, 16, 20, 50, 51, 53, 60, 63, 66, 67], "overlapcomputest": 2, "overlap": [2, 3, 12, 53], "overlapresult": 2, "trace": [2, 3, 15, 20, 25, 52], "kerneltrac": 2, "run": [2, 3, 5, 7, 8, 9, 11, 12, 16, 17, 22, 23, 30, 32, 33, 36, 50, 51, 52, 53, 54, 55, 57, 62, 63, 64, 65, 66, 68, 71, 72, 74, 75, 78, 79], "tracer": 2, "persist": [2, 33, 38, 52, 74], "resourc": [2, 4, 18, 22, 27, 43, 52, 53, 54, 58, 72, 74], "kernelnam": [2, 3], "batchiter": 2, "batch": [2, 27, 38], "observe_n": 2, "sample_n": 2, "totaliter": 2, "registernam": [2, 33], "mid": [2, 3, 54], "mode": [2, 3, 9, 23, 36, 38, 50, 51, 63, 68, 72], "keep": [2, 5, 17, 33, 54], "track": [2, 33, 67], "reorderidx": 2, "inform": [2, 3, 5, 7, 9, 12, 15, 18, 20, 22, 26, 31, 33, 38, 40, 43, 45, 51, 52, 53, 54, 58, 63, 66, 67, 68, 72, 74, 76, 77, 79, 80], "reorder": 2, "after": [2, 3, 4, 7, 9, 15, 29, 33, 51, 58, 60, 63, 68, 72, 74], "empti": [2, 3, 12, 35, 41, 54, 63, 74], "mean": [2, 3, 5, 14, 15, 16, 20, 22, 40, 47, 54, 63, 66, 74, 79], "char": [2, 36, 53, 58, 72, 78, 79], "invocationresultbuff": 2, "buffer": [2, 53, 78], "note": [2, 3, 9, 10, 13, 15, 17, 18, 19, 20, 23, 29, 36, 38, 47, 51, 52, 53, 58, 60, 63, 67, 68, 72, 74, 78], "need": [2, 3, 4, 5, 9, 13, 14, 17, 18, 22, 23, 25, 29, 47, 50, 51, 52, 53, 54, 58, 62, 63, 66, 71, 72, 74, 75, 78], "abl": [2, 9, 23, 33, 51, 52, 53, 58, 74, 78, 79], "numbertrajectori": 2, "trajectori": 2, "calcul": [2, 3, 5, 6, 7, 9, 11, 15, 18, 20, 23, 27, 52, 53, 58, 63, 66], "job": [2, 13, 33, 51, 52, 53, 63, 74], "qpu": [2, 3, 10, 12, 22, 23, 27, 30, 31, 32, 33, 38, 43, 51, 53, 54, 57, 58, 62, 63, 66, 71, 78, 79, 80], "extra": [2, 11, 12, 40, 47, 51], "configur": [2, 8, 9, 21, 43, 51, 52, 53, 54, 63, 66, 68, 71, 72, 74, 75, 78, 79], "later": [2, 7, 9, 12, 15, 16, 33, 37, 53, 63, 72, 74], "server": [2, 51, 53, 63, 74], "file": [2, 4, 9, 33, 40, 51, 52, 53, 58, 59, 63, 66, 68, 70, 71, 72, 74, 75, 76, 78, 79], "read": [2, 3, 13, 18, 60, 63], "wrap": [2, 33, 35, 47, 50], "t": [2, 3, 4, 7, 8, 10, 14, 19, 20, 29, 31, 33, 36, 37, 40, 41, 50, 52, 54, 60, 63, 64, 67, 72, 74, 80], "case": [2, 3, 7, 8, 9, 12, 13, 14, 15, 16, 17, 22, 24, 25, 27, 33, 47, 50, 56, 60, 62, 72, 76, 78], "must": [2, 3, 16, 17, 18, 22, 23, 32, 33, 37, 39, 42, 45, 47, 50, 51, 54, 63, 67, 70, 71, 72, 74, 78, 79], "some": [2, 4, 8, 9, 11, 14, 15, 16, 18, 19, 22, 24, 28, 31, 33, 47, 52, 53, 54, 67, 68, 70, 71, 72, 74, 75, 78, 79, 80], "point": [2, 3, 9, 14, 29, 33, 37, 40, 53, 54, 68, 71, 72, 74], "same": [2, 3, 7, 9, 12, 13, 14, 15, 16, 17, 20, 22, 27, 29, 33, 47, 51, 53, 58, 63, 65, 66, 68, 71, 72, 74, 78], "runtim": [2, 9, 32, 33, 35, 38, 51, 52, 53, 54, 62, 68, 71, 74, 76], "_job": 2, "qpunamein": 2, "config": [2, 4, 54, 71, 72, 74, 79], "info": [2, 20, 52, 54, 59, 68], "requir": [2, 3, 4, 7, 8, 9, 10, 11, 14, 15, 18, 20, 22, 27, 29, 33, 37, 39, 40, 42, 44, 45, 47, 50, 51, 52, 53, 54, 63, 66, 67, 72, 75, 79], "date": 2, "even": [2, 7, 9, 13, 16, 18, 23, 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"sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.intersphinx": 1, "nbsphinx": 4, "sphinx": 57}, "alltitles": {"CUDA-Q Applications": [[48, "cuda-q-applications"]], "Quantum Types": [[45, "quantum-types"]], "cudaq::qudit": [[45, "cudaq-qudit-levels"]], "cudaq::qubit": [[45, "cudaq-qubit"]], "Quantum Containers": [[45, "quantum-containers"]], "cudaq::qview": [[45, "cudaq-qview-levels-2"]], "cudaq::qvector": [[45, "cudaq-qvector-levels-2"]], "cudaq::qarray": [[45, "cudaq-qarray-n-levels-2"]], "cudaq::qspan (Deprecated. Use cudaq::qview instead.)": [[45, "cudaq-qspan-n-levels-deprecated-use-cudaq-qview-levels-instead"]], "cudaq::qreg (Deprecated. Use cudaq::qvector instead.)": [[45, "cudaq-qreg-n-levels-deprecated-use-cudaq-qvector-levels-instead"]], "Quantum Intrinsic Operations": [[40, "quantum-intrinsic-operations"]], "Operations on cudaq::qubit": [[40, "operations-on-cudaq-qubit"]], "Quake Dialect": [[47, "quake-dialect"]], "General Introduction": [[47, "general-introduction"]], "Motivation": [[47, "motivation"]], "CUDA-Q Backends": [[49, "cuda-q-backends"]], "Backend Targets": [[49, null]], "Sub-circuit Synthesis": [[44, "sub-circuit-synthesis"]], "Quantum Operators": [[41, "quantum-operators"]], "cudaq::spin_op": [[41, "cudaq-spin-op"]], "Specifications": [[46, "specifications"]], "Quantum Platform": [[43, "quantum-platform"]], "Common Quantum Programming Patterns": [[42, "common-quantum-programming-patterns"]], "Compute-Action-Uncompute": [[42, "compute-action-uncompute"]], "CUDA-Q Releases": [[31, "cuda-q-releases"]], "Machine Model": [[38, "machine-model"]], "Control Flow": [[34, "control-flow"]], "Just-in-Time Kernel Creation": [[35, "just-in-time-kernel-creation"]], "Example Programs": [[36, "example-programs"]], "Hello World - Simple Bell State": [[36, "hello-world-simple-bell-state"]], "GHZ State Preparation and Sampling": [[36, "ghz-state-preparation-and-sampling"]], "Quantum Phase Estimation": [[36, "quantum-phase-estimation"]], "Deuteron Binding Energy Parameter Sweep": [[36, "deuteron-binding-energy-parameter-sweep"]], "Grover\u2019s Algorithm": [[36, "grover-s-algorithm"]], "Iterative Phase Estimation": [[36, "iterative-phase-estimation"]], "CUDA-Q": [[30, "cuda-q"], [32, null]], "Contents": [[30, null], [73, null], [55, null]], "Quantum Algorithmic Primitives": [[33, "quantum-algorithmic-primitives"]], "cudaq::sample": [[33, "cudaq-sample"]], "cudaq::observe": [[33, "cudaq-observe"]], "cudaq::optimizer (deprecated, functionality moved to CUDA-Q libraries)": [[33, "cudaq-optimizer-deprecated-functionality-moved-to-cuda-q-libraries"]], "cudaq::gradient (deprecated, functionality moved to CUDA-Q libraries)": [[33, "cudaq-gradient-deprecated-functionality-moved-to-cuda-q-libraries"]], "Quantum Kernels": [[37, "quantum-kernels"]], "Namespace and Standard": [[39, "namespace-and-standard"]], "Language Specification": [[32, "language-specification"]], "Extending CUDA-Q": [[69, "extending-cuda-q"]], "Building Kernels": [[60, "building-kernels"]], "Using Quantum Hardware Providers": [[63, "using-quantum-hardware-providers"]], "Amazon Braket": [[63, "amazon-braket"], [51, "amazon-braket"]], "IonQ": [[63, "ionq"], [51, "ionq"]], "IQM": [[63, "iqm"], [51, "iqm"]], "OQC": [[63, "oqc"], [51, "oqc"]], "ORCA Computing": [[63, "orca-computing"], [51, "orca-computing"]], "Quantinuum": [[63, "quantinuum"], [51, "quantinuum"]], "QuEra Computing": [[63, "quera-computing"], [51, "quera-computing"]], "Quantum Computing 101": [[67, "quantum-computing-101"]], "Quantum States": [[67, "quantum-states"]], "Quantum Gates": [[67, "quantum-gates"]], "Measurements": [[67, "measurements"], [24, "Measurements"]], "Multi-control Synthesis": [[65, "multi-control-synthesis"]], "Multi-GPU Workflows": [[66, "multi-gpu-workflows"]], "Available Targets": [[66, "available-targets"]], "Parallelization across Multiple Processors": [[66, "parallelization-across-multiple-processors"]], "Batching Hamiltonian Terms": [[66, "batching-hamiltonian-terms"]], "Circuit Batching": [[66, "circuit-batching"]], "Working with the CUDA-Q IR": [[68, "working-with-the-cuda-q-ir"]], "CUDA-Q by Example": [[61, "cuda-q-by-example"]], "Computing Expectation Values": [[62, "computing-expectation-values"]], "Parallelizing across Multiple Processors": [[62, "parallelizing-across-multiple-processors"]], "Introduction": [[64, "introduction"], [74, "introduction"]], "CUDA-Q Versions": [[80, "cuda-q-versions"]], "Quick Start": [[79, "quick-start"], [50, "quick-start"], [52, "quick-start"]], "Install CUDA-Q": [[79, "install-cuda-q"]], "Validate your Installation": [[79, "validate-your-installation"]], "Installation from Source": [[72, "installation-from-source"]], "Prerequisites": [[72, "prerequisites"]], "Build Dependencies": [[72, "build-dependencies"]], "CUDA": [[72, "cuda"]], "Toolchain": [[72, "toolchain"]], "Building CUDA-Q": [[72, "building-cuda-q"]], "Python Support": [[72, "python-support"]], "C++ Support": [[72, "c-support"]], "Installation on the Host": [[72, "installation-on-the-host"]], "CUDA Runtime Libraries": [[72, "cuda-runtime-libraries"]], "MPI": [[72, "mpi"]], "Integrating with Third-Party Libraries": [[78, "integrating-with-third-party-libraries"]], "Calling a CUDA-Q library from C++": [[78, "calling-a-cuda-q-library-from-c"]], "Calling an C++ library from CUDA-Q": [[78, "calling-an-c-library-from-cuda-q"]], "Interfacing between binaries compiled with a different toolchains": [[78, "interfacing-between-binaries-compiled-with-a-different-toolchains"]], "Create your own CUDA-Q Compiler Pass": [[70, "create-your-own-cuda-q-compiler-pass"]], "Installation Guide": [[73, 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model pipeline": [[20, "Diffusion-model-pipeline"]], "Setup and compilation": [[20, "Setup-and-compilation"]], "Load model": [[20, "Load-model"]], "Unitary compilation": [[20, "Unitary-compilation"]], "Convert tensors to CUDA-Q": [[20, "Convert-tensors-to-CUDA-Q"]], "Evaluate generated circuits": [[20, "Evaluate-generated-circuits"]], "Simulate kernels": [[20, "Simulate-kernels"]], "Compare unitaries": [[20, "Compare-unitaries"]], "Choosing the circuit you need": [[20, "Choosing-the-circuit-you-need"]], "VQE with gradients, active spaces, and gate fusion": [[22, "VQE-with-gradients,-active-spaces,-and-gate-fusion"]], "The Basics of VQE": [[22, "The-Basics-of-VQE"]], "Installing/Loading Relevant Packages": [[22, "Installing/Loading-Relevant-Packages"]], "Implementing VQE in CUDA-Q": [[22, "Implementing-VQE-in-CUDA-Q"]], "Parallel Parameter Shift Gradients": [[22, "Parallel-Parameter-Shift-Gradients"], [27, "Parallel-Parameter-Shift-Gradients"]], "Using an Active Space": [[22, 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[[3, "cudaq.SampleResult.__len__"]], "__mul__() (cudaq.quakevalue method)": [[3, "cudaq.QuakeValue.__mul__"]], "__neg__() (cudaq.quakevalue method)": [[3, "cudaq.QuakeValue.__neg__"]], "__radd__() (cudaq.quakevalue method)": [[3, "cudaq.QuakeValue.__radd__"]], "__rmul__() (cudaq.quakevalue method)": [[3, "cudaq.QuakeValue.__rmul__"]], "__rsub__() (cudaq.quakevalue method)": [[3, "cudaq.QuakeValue.__rsub__"]], "__str__() (cudaq.complexmatrix method)": [[3, "cudaq.ComplexMatrix.__str__"]], "__str__() (cudaq.pykerneldecorator method)": [[3, "cudaq.PyKernelDecorator.__str__"]], "__sub__() (cudaq.quakevalue method)": [[3, "cudaq.QuakeValue.__sub__"]], "add_all_qubit_channel() (cudaq.noisemodel method)": [[3, "cudaq.NoiseModel.add_all_qubit_channel"]], "add_channel() (cudaq.noisemodel method)": [[3, "cudaq.NoiseModel.add_channel"]], "all_gather() (in module cudaq.mpi)": [[3, "cudaq.mpi.all_gather"]], "amplitude() (cudaq.state method)": [[3, "cudaq.State.amplitude"]], "amplitudes() (cudaq.state method)": [[3, "cudaq.State.amplitudes"]], "append() (cudaq.krauschannel method)": [[3, "cudaq.KrausChannel.append"]], "argument_count (cudaq.pykernel attribute)": [[3, "cudaq.PyKernel.argument_count"]], "arguments (cudaq.pykernel attribute)": [[3, "cudaq.PyKernel.arguments"]], "broadcast() (in module cudaq.mpi)": [[3, "cudaq.mpi.broadcast"]], "clear() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.clear"]], "col_count (cudaq.krausoperator property)": [[3, "cudaq.KrausOperator.col_count"]], "compile() (cudaq.pykerneldecorator method)": [[3, "cudaq.PyKernelDecorator.compile"]], "compute() (cudaq.gradients.centraldifference method)": [[3, "cudaq.gradients.CentralDifference.compute"]], "compute() (cudaq.gradients.forwarddifference method)": [[3, "cudaq.gradients.ForwardDifference.compute"]], "compute() (cudaq.gradients.parametershift method)": [[3, "cudaq.gradients.ParameterShift.compute"]], "count() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.count"]], "counts() (cudaq.observeresult method)": [[3, "cudaq.ObserveResult.counts"]], "cudaq": [[3, "module-cudaq"]], "define() (cudaq.operator.expressions.elementaryoperator class method)": [[3, "cudaq.operator.expressions.ElementaryOperator.define"]], "description (cudaq.target property)": [[3, "cudaq.Target.description"]], "deserialize() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.deserialize"]], "draw() (in module cudaq)": [[3, "cudaq.draw"]], "dump() (cudaq.observeresult method)": [[3, "cudaq.ObserveResult.dump"]], "dump() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.dump"]], "dump() (cudaq.state method)": [[3, "cudaq.State.dump"]], "evolve() (in module cudaq)": [[3, "cudaq.evolve"]], "evolve_async() (in module cudaq)": [[3, "cudaq.evolve_async"]], "expectation() (cudaq.observeresult method)": [[3, "cudaq.ObserveResult.expectation"]], "expectation() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.expectation"]], "expectation_values() (cudaq.evolveresult method)": [[3, "cudaq.EvolveResult.expectation_values"]], "expectation_z() (cudaq.observeresult method)": [[3, "cudaq.ObserveResult.expectation_z"]], "expectation_z() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.expectation_z"]], "extract_c_function_pointer() (cudaq.pykerneldecorator method)": [[3, "cudaq.PyKernelDecorator.extract_c_function_pointer"]], "final_expectation_values() (cudaq.evolveresult method)": [[3, "cudaq.EvolveResult.final_expectation_values"]], "final_state() (cudaq.evolveresult method)": [[3, "cudaq.EvolveResult.final_state"]], "finalize() (in module cudaq.mpi)": [[3, "cudaq.mpi.finalize"]], "from_data() (cudaq.state static method)": [[3, "cudaq.State.from_data"]], "from_json() (cudaq.pykerneldecorator static method)": [[3, "cudaq.PyKernelDecorator.from_json"]], "from_json() (cudaq.gradients.centraldifference static method)": [[3, "cudaq.gradients.CentralDifference.from_json"]], "from_json() (cudaq.gradients.forwarddifference static method)": [[3, "cudaq.gradients.ForwardDifference.from_json"]], "from_json() (cudaq.gradients.parametershift static method)": [[3, "cudaq.gradients.ParameterShift.from_json"]], "from_json() (cudaq.optimizers.cobyla static method)": [[3, "cudaq.optimizers.COBYLA.from_json"]], "from_json() (cudaq.optimizers.gradientdescent static method)": [[3, "cudaq.optimizers.GradientDescent.from_json"]], "from_json() (cudaq.optimizers.lbfgs static method)": [[3, "cudaq.optimizers.LBFGS.from_json"]], "from_json() (cudaq.optimizers.neldermead static method)": [[3, "cudaq.optimizers.NelderMead.from_json"]], "get() (cudaq.asyncevolveresult method)": [[3, "cudaq.AsyncEvolveResult.get"]], "get() (cudaq.asyncobserveresult method)": [[3, "cudaq.AsyncObserveResult.get"]], "get() (cudaq.asyncsampleresult method)": [[3, "cudaq.AsyncSampleResult.get"]], "get() (cudaq.asyncstateresult method)": [[3, "cudaq.AsyncStateResult.get"]], "gettensor() (cudaq.state method)": [[3, "cudaq.State.getTensor"]], "gettensors() (cudaq.state method)": [[3, "cudaq.State.getTensors"]], "get_channels() (cudaq.noisemodel method)": [[3, "cudaq.NoiseModel.get_channels"]], "get_marginal_counts() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.get_marginal_counts"]], "get_precision() (cudaq.target method)": [[3, "cudaq.Target.get_precision"]], "get_register_counts() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.get_register_counts"]], "get_sequential_data() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.get_sequential_data"]], "get_spin() (cudaq.observeresult method)": [[3, "cudaq.ObserveResult.get_spin"]], "get_state() (in module cudaq)": [[3, "cudaq.get_state"]], "get_state_async() (in module cudaq)": [[3, "cudaq.get_state_async"]], "get_target() (in module cudaq)": [[3, "cudaq.get_target"]], "get_targets() (in module cudaq)": [[3, "cudaq.get_targets"]], "gradient (class in cudaq.gradients)": [[3, "cudaq.gradients.gradient"]], "has_target() (in module cudaq)": [[3, "cudaq.has_target"]], "initial_parameters (cudaq.optimizers.cobyla property)": [[3, "cudaq.optimizers.COBYLA.initial_parameters"]], "initial_parameters (cudaq.optimizers.gradientdescent property)": [[3, "cudaq.optimizers.GradientDescent.initial_parameters"]], "initial_parameters (cudaq.optimizers.lbfgs property)": [[3, "cudaq.optimizers.LBFGS.initial_parameters"]], "initial_parameters (cudaq.optimizers.neldermead property)": [[3, "cudaq.optimizers.NelderMead.initial_parameters"]], "initialize() (in module cudaq.mpi)": [[3, "cudaq.mpi.initialize"]], "initialize_cudaq() (in module cudaq)": [[3, "cudaq.initialize_cudaq"]], "intermediate_states() (cudaq.evolveresult method)": [[3, "cudaq.EvolveResult.intermediate_states"]], "is_emulated() (cudaq.target method)": [[3, "cudaq.Target.is_emulated"]], "is_initialized() (in module cudaq.mpi)": [[3, "cudaq.mpi.is_initialized"]], "is_on_gpu() (cudaq.state method)": [[3, "cudaq.State.is_on_gpu"]], "is_remote() (cudaq.target method)": [[3, "cudaq.Target.is_remote"]], "items() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.items"]], "kernel() (in module cudaq)": [[3, "cudaq.kernel"]], "lower_bounds (cudaq.optimizers.cobyla property)": [[3, "cudaq.optimizers.COBYLA.lower_bounds"]], "lower_bounds (cudaq.optimizers.gradientdescent property)": [[3, "cudaq.optimizers.GradientDescent.lower_bounds"]], "lower_bounds (cudaq.optimizers.lbfgs property)": [[3, "cudaq.optimizers.LBFGS.lower_bounds"]], "lower_bounds (cudaq.optimizers.neldermead property)": [[3, "cudaq.optimizers.NelderMead.lower_bounds"]], "make_kernel() (in module cudaq)": [[3, "cudaq.make_kernel"]], "max_iterations (cudaq.optimizers.cobyla property)": [[3, "cudaq.optimizers.COBYLA.max_iterations"]], "max_iterations (cudaq.optimizers.gradientdescent property)": [[3, "cudaq.optimizers.GradientDescent.max_iterations"]], "max_iterations (cudaq.optimizers.lbfgs property)": [[3, "cudaq.optimizers.LBFGS.max_iterations"]], "max_iterations (cudaq.optimizers.neldermead property)": [[3, "cudaq.optimizers.NelderMead.max_iterations"]], "merge_kernel() (cudaq.pykerneldecorator method)": [[3, "cudaq.PyKernelDecorator.merge_kernel"]], "minimal_eigenvalue() (cudaq.complexmatrix method)": [[3, "cudaq.ComplexMatrix.minimal_eigenvalue"]], "module": [[3, "module-cudaq"]], "most_probable() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.most_probable"]], "name (cudaq.pykernel attribute)": [[3, "cudaq.PyKernel.name"]], "name (cudaq.simulationprecision property)": [[3, "cudaq.SimulationPrecision.name"]], "name (cudaq.target property)": [[3, "cudaq.Target.name"]], "num_available_gpus() (in module cudaq)": [[3, "cudaq.num_available_gpus"]], "num_columns() (cudaq.complexmatrix method)": [[3, "cudaq.ComplexMatrix.num_columns"]], "num_qpus() (cudaq.target method)": [[3, "cudaq.Target.num_qpus"]], "num_qubits() (cudaq.state method)": [[3, "cudaq.State.num_qubits"]], "num_ranks() (in module cudaq.mpi)": [[3, "cudaq.mpi.num_ranks"]], "num_rows() (cudaq.complexmatrix method)": [[3, "cudaq.ComplexMatrix.num_rows"]], "observe() (in module cudaq)": [[3, "cudaq.observe"]], "observe_async() (in module cudaq)": [[3, "cudaq.observe_async"]], "optimize() (cudaq.optimizers.cobyla method)": [[3, "cudaq.optimizers.COBYLA.optimize"]], "optimize() (cudaq.optimizers.gradientdescent method)": [[3, "cudaq.optimizers.GradientDescent.optimize"]], "optimize() (cudaq.optimizers.lbfgs method)": [[3, "cudaq.optimizers.LBFGS.optimize"]], "optimize() (cudaq.optimizers.neldermead method)": [[3, "cudaq.optimizers.NelderMead.optimize"]], "optimizer (class in cudaq.optimizers)": [[3, "cudaq.optimizers.optimizer"]], "overlap() (cudaq.state method)": [[3, "cudaq.State.overlap"]], "platform (cudaq.target property)": [[3, "cudaq.Target.platform"]], "probability() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.probability"]], "qreg (in module cudaq)": [[3, "cudaq.qreg"]], "qubit (class in cudaq)": [[3, "cudaq.qubit"]], "qvector (class in cudaq)": [[3, "cudaq.qvector"]], "rank() (in module cudaq.mpi)": [[3, "cudaq.mpi.rank"]], "register_names (cudaq.sampleresult attribute)": [[3, "cudaq.SampleResult.register_names"]], "requires_gradients() (cudaq.optimizers.cobyla method)": [[3, "cudaq.optimizers.COBYLA.requires_gradients"]], "requires_gradients() (cudaq.optimizers.gradientdescent method)": [[3, "cudaq.optimizers.GradientDescent.requires_gradients"]], "requires_gradients() (cudaq.optimizers.lbfgs method)": [[3, "cudaq.optimizers.LBFGS.requires_gradients"]], "requires_gradients() (cudaq.optimizers.neldermead method)": [[3, "cudaq.optimizers.NelderMead.requires_gradients"]], "reset_target() (in module cudaq)": [[3, "cudaq.reset_target"]], "row_count (cudaq.krausoperator property)": [[3, "cudaq.KrausOperator.row_count"]], "sample() (in module cudaq)": [[3, "cudaq.sample"]], "sample() (in module cudaq.orca)": [[3, "cudaq.orca.sample"]], "sample_async() (in module cudaq)": [[3, "cudaq.sample_async"]], "serialize() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.serialize"]], "set_noise() (in module cudaq)": [[3, "cudaq.set_noise"]], "set_random_seed() (in module cudaq)": [[3, "cudaq.set_random_seed"]], "set_target() (in module cudaq)": [[3, "cudaq.set_target"]], "simulator (cudaq.target property)": [[3, "cudaq.Target.simulator"]], "slice() (cudaq.quakevalue method)": [[3, "cudaq.QuakeValue.slice"]], "spin.i() (in module cudaq)": [[3, "cudaq.spin.i"]], "spin.x() (in module cudaq)": [[3, "cudaq.spin.x"]], "spin.y() (in module cudaq)": [[3, "cudaq.spin.y"]], "spin.z() (in module cudaq)": [[3, "cudaq.spin.z"]], "synthesize_callable_arguments() (cudaq.pykerneldecorator method)": [[3, "cudaq.PyKernelDecorator.synthesize_callable_arguments"]], "to_cupy_array() (in module cudaq.operator.cudm_state)": [[3, "cudaq.operator.cudm_state.to_cupy_array"]], "to_json() (cudaq.pykerneldecorator method)": [[3, "cudaq.PyKernelDecorator.to_json"]], "to_json() (cudaq.gradients.centraldifference method)": [[3, "cudaq.gradients.CentralDifference.to_json"]], "to_json() (cudaq.gradients.forwarddifference method)": [[3, "cudaq.gradients.ForwardDifference.to_json"]], "to_json() (cudaq.gradients.parametershift method)": [[3, "cudaq.gradients.ParameterShift.to_json"]], "to_json() (cudaq.optimizers.cobyla method)": [[3, "cudaq.optimizers.COBYLA.to_json"]], "to_json() (cudaq.optimizers.gradientdescent method)": [[3, "cudaq.optimizers.GradientDescent.to_json"]], "to_json() (cudaq.optimizers.lbfgs method)": [[3, "cudaq.optimizers.LBFGS.to_json"]], "to_json() (cudaq.optimizers.neldermead method)": [[3, "cudaq.optimizers.NelderMead.to_json"]], "to_numpy() (cudaq.complexmatrix method)": [[3, "cudaq.ComplexMatrix.to_numpy"]], "translate() (in module cudaq)": [[3, "cudaq.translate"]], "type_to_str() (cudaq.pykerneldecorator static method)": [[3, "cudaq.PyKernelDecorator.type_to_str"]], "unset_noise() (in module cudaq)": [[3, "cudaq.unset_noise"]], "upper_bounds (cudaq.optimizers.cobyla property)": [[3, "cudaq.optimizers.COBYLA.upper_bounds"]], "upper_bounds (cudaq.optimizers.gradientdescent property)": [[3, "cudaq.optimizers.GradientDescent.upper_bounds"]], "upper_bounds (cudaq.optimizers.lbfgs property)": [[3, "cudaq.optimizers.LBFGS.upper_bounds"]], "upper_bounds (cudaq.optimizers.neldermead property)": [[3, "cudaq.optimizers.NelderMead.upper_bounds"]], "values() (cudaq.sampleresult method)": [[3, "cudaq.SampleResult.values"]], "vqe() (in module cudaq)": [[3, "cudaq.vqe"]]}})
\ No newline at end of file
diff --git a/pr-2423/sphinx/applications/cpp/bernstein_vazirani.cpp b/pr-2423/sphinx/applications/cpp/bernstein_vazirani.cpp
index 5371d0d576..7ec7741eed 100644
--- a/pr-2423/sphinx/applications/cpp/bernstein_vazirani.cpp
+++ b/pr-2423/sphinx/applications/cpp/bernstein_vazirani.cpp
@@ -34,7 +34,7 @@ std::vector random_bits(int seed) {
template
struct oracle {
- auto operator()(std::vector bitvector, cudaq::qview<> qs,
+ auto operator()(std::vector &bitvector, cudaq::qview<> qs,
cudaq::qubit &aux) __qpu__ {
for (size_t i = 0; i < nrOfBits; i++) {
nvidia-mgpu backend and setting the CUDAQ_MGPU_FUSE environment variable, you can select the degree of fusion that takes place. A full command line example would look like CUDAQ_MGPU_FUSE=4 python c2h2VQE.py --target nvidia --target-option fp64,mgpu