From 8f7b4d8af333537ed68472d81029237be9b31c9c Mon Sep 17 00:00:00 2001 From: cuda-quantum-bot Date: Tue, 10 Dec 2024 14:49:44 +0000 Subject: [PATCH] Docs preview for PR #2423. --- pr-2423/api/languages/cpp_api.html | 6 ++++++ .../python/deutschs_algorithm.html | 4 ++-- .../python/performance_optimizations.html | 4 ++-- pr-2423/genindex.html | 2 ++ pr-2423/objects.inv | Bin 49794 -> 49861 bytes pr-2423/searchindex.js | 2 +- .../applications/cpp/bernstein_vazirani.cpp | 2 +- 7 files changed, 14 insertions(+), 6 deletions(-) diff --git a/pr-2423/api/languages/cpp_api.html b/pr-2423/api/languages/cpp_api.html index 0cd309e516..04fa6287b2 100644 --- a/pr-2423/api/languages/cpp_api.html +++ b/pr-2423/api/languages/cpp_api.html @@ -1467,6 +1467,12 @@

Common

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.

+
+ diff --git a/pr-2423/applications/python/deutschs_algorithm.html b/pr-2423/applications/python/deutschs_algorithm.html index 6a656a1471..09cf0b4e2d 100644 --- a/pr-2423/applications/python/deutschs_algorithm.html +++ b/pr-2423/applications/python/deutschs_algorithm.html @@ -789,7 +789,7 @@

XOR \(\oplus\)

Quantum oracles

-

475b2af68ed04dbe9c677802d00b1115

+

5965f0695b2e487a85d2bdce71e9d1fc

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.

-

83e12cd0a55b415bbd0806d8d0b37de7

+

2fdb4a4593584eff9665b0d58ac944ce

\[\ket{\psi_0} = \ket{01} \tag{1}\]
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

-

1189d20206a6437b8d124bf004ad5feb

+

a15271f5418a4a36bf7e86211674b08e

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.

-

1ab345c3ca4e46c3bb90503e67d71c49

+

70e2e3ad9a3e4115abc21d974deb7a38

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)
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"Factoring Integers With Shor\u2019s Algorithm", "Computing Magnetization With The Suzuki-Trotter Approximation", "Compiling Unitaries Using Diffusion Models", "Variational Quantum Eigensolver", "VQE with gradients, active spaces, and gate fusion", "Executing Quantum Circuits", "Measurements", "Noisy Simulation", "Operators", "Optimizers and Gradients", "Optimizing Performance", "Visualization", "CUDA-Q", "CUDA-Q Releases", "Language Specification", "12. Quantum Algorithmic Primitives", "8. Control Flow", "9. Just-in-Time Kernel Creation", "13. Example Programs", "6. Quantum Kernels", "1. Machine Model", "2. Namespace and Standard", "5. Quantum Intrinsic Operations", "4. Quantum Operators", "10. Common Quantum Programming Patterns", "11. Quantum Platform", "7. Sub-circuit Synthesis", "3. Quantum Types", "Specifications", "Quake Dialect", "CUDA-Q Applications", "CUDA-Q Backends", "CUDA-Q Dynamics", "CUDA-Q Hardware Backends", "NVIDIA Quantum Cloud", "Multi-Processor Platforms", "CUDA-Q Simulation Backends", "CUDA-Q Basics", "Building your first CUDA-Q Program", "What is a CUDA-Q kernel?", "Running your first CUDA-Q Program", "Troubleshooting", "Building Kernels", "CUDA-Q by Example", "Computing Expectation Values", "Using Quantum Hardware Providers", "Introduction", "Multi-control Synthesis", "Multi-GPU Workflows", "Quantum Computing 101", "Working with the CUDA-Q IR", "Extending CUDA-Q", "Create your own CUDA-Q Compiler Pass", "Extending CUDA-Q with a new Simulator", "Installation from Source", "Installation Guide", "Local Installation", "CUDA-Q and CMake", "Using CUDA and CUDA-Q in a Project", "Integration with other Software Tools", "Integrating with Third-Party Libraries", "Quick Start", "CUDA-Q Versions"], "terms": {"c": [0, 1, 3, 4, 9, 12, 13, 30, 31, 32, 33, 34, 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, 77], "provid": [1, 2, 3, 4, 8, 9, 10, 12, 14, 17, 18, 19, 20, 21, 25, 26, 27, 30, 32, 33, 35, 38, 40, 41, 43, 44, 45, 47, 50, 51, 52, 53, 54, 57, 61, 62, 64, 65, 68, 70, 71, 72, 74, 75, 78], "default": [1, 2, 3, 19, 22, 23, 24, 29, 33, 37, 40, 45, 50, 51, 52, 53, 58, 63, 64, 68, 71, 72, 74, 76, 78, 79], "set": [1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 16, 17, 20, 22, 23, 28, 29, 30, 33, 35, 37, 40, 47, 50, 52, 53, 54, 56, 58, 63, 72, 74, 78, 79], "These": [1, 2, 8, 12, 13, 16, 18, 20, 22, 25, 27, 32, 37, 40, 44, 45, 47, 49, 52, 53, 54, 68, 72, 74], "can": [1, 2, 3, 4, 5, 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, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 47, 49, 50, 51, 52, 53, 54, 56, 57, 58, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80], "us": [1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 24, 25, 26, 27, 29, 30, 31, 33, 34, 35, 36, 37, 40, 41, 43, 44, 47, 50, 51, 52, 53, 54, 56, 57, 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, 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"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, 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[[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 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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, 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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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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], "pertin": [2, 33, 39, 44, 45], "remot": [2, 3, 33, 38, 49, 52, 54, 59, 66], "rest": [2, 3, 5, 15, 16, 32, 51, 53, 54, 63, 72, 74, 78], "wait": [2, 3, 9, 23, 52, 53, 58, 63], "until": [2, 3, 9, 16, 20, 23, 58, 63], "readi": [2, 18, 21, 63, 74], "executionresult": 2, "correspond": [2, 3, 4, 6, 8, 9, 10, 12, 13, 19, 20, 22, 26, 27, 33, 51, 63, 64, 72, 74, 76], "well": [2, 3, 5, 10, 12, 17, 18, 19, 26, 31, 33, 36, 38, 50, 54, 71, 74, 75, 78, 80], "integ": [2, 3, 12, 13, 16, 23, 30, 37, 43, 53, 54, 58, 60, 66], "1st": [2, 15, 25], "bitstr": [2, 3, 5, 9, 13, 16, 33], "m": [2, 4, 8, 9, 10, 12, 17, 29, 36, 41, 53, 54, 63, 66, 68, 72, 74, 78, 79], "tripl": [2, 68], "long": [2, 23, 33, 36, 58, 72, 74, 78, 79], "length": [2, 5, 17, 63], "deseri": [2, 3], "discuss": [2, 9, 15, 27, 70], "brief": [2, 71], "countsdictionari": [2, 33], "assum": [2, 3, 8, 9, 13, 15, 16, 17, 18, 38, 40, 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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, "installation-guide"]], "Using CUDA and CUDA-Q in a Project": [[76, "using-cuda-and-cuda-q-in-a-project"]], "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"]], "CUDA-Q and CMake": [[75, "cuda-q-and-cmake"]], "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"]], "Integration with other Software Tools": [[77, "integration-with-other-software-tools"]], "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"]], "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"]], "What is a CUDA-Q kernel?": [[57, "what-is-a-cuda-q-kernel"]], "Building your first CUDA-Q Program": [[56, "building-your-first-cuda-q-program"]], "Troubleshooting": [[59, "troubleshooting"]], "Debugging and Verbose Simulation Output": [[59, "debugging-and-verbose-simulation-output"]], "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"]], "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 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"]], "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"]], "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"]], "Midcircuit Measurement and Conditional Logic": [[24, "Midcircuit-Measurement-and-Conditional-Logic"]], "Visualization": [[29, "Visualization"]], "Qubit Visualization": [[29, "Qubit-Visualization"]], "Kernel Visualization": [[29, "Kernel-Visualization"]], "Noisy Simulation": [[25, "Noisy-Simulation"], [3, "noisy-simulation"]], "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"]], "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"]], "Optimizing Performance": [[28, "Optimizing-Performance"]], "Gate Fusion": [[28, "Gate-Fusion"]], "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"]], "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 Teleporation": [[15, "Quantum-Teleporation"]], "Teleportation explained": [[15, "Teleportation-explained"]], "Quantum Volume": [[16, "Quantum-Volume"]], "Hybrid Quantum Neural Networks": [[11, "Hybrid-Quantum-Neural-Networks"]], "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"]], "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"]], "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"]], "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"]], "Max-Cut with QAOA": [[13, "Max-Cut-with-QAOA"]], "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"]], "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"]], "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"]], "Deutsch\u2019s Algorithm": [[7, "Deutsch's-Algorithm"]], "XOR \\oplus": [[7, "XOR-\\oplus"]], "Quantum oracles": [[7, "Quantum-oracles"]], "Phase oracle": [[7, "Phase-oracle"]], "Quantum parallelism": [[7, "Quantum-parallelism"]], "Deutschs\u2019 Algorithm:": [[7, "Deutschs'-Algorithm:"]], "Quantum Enhanced Auxiliary Field Quantum Monte Carlo": [[4, "Quantum-Enhanced-Auxiliary-Field-Quantum-Monte-Carlo"]], "Hamiltonian preparation for VQE": [[4, "Hamiltonian-preparation-for-VQE"]], "Run VQE with CUDA-Q": [[4, "Run-VQE-with-CUDA-Q"]], "Auxiliary Field Quantum Monte Carlo (AFQMC)": [[4, "Auxiliary-Field-Quantum-Monte-Carlo-(AFQMC)"]], "Preparation of the molecular Hamiltonian": [[4, "Preparation-of-the-molecular-Hamiltonian"]], "Preparation of the trial wave function": 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"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++) {