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cuda-quantum-bot committed Dec 9, 2024
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4 changes: 2 additions & 2 deletions pr-2423/applications/python/deutschs_algorithm.html
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Expand Up @@ -789,7 +789,7 @@ <h2>XOR <span class="math notranslate nohighlight">\(\oplus\)</span><a class="he
</section>
<section id="Quantum-oracles">
<h2>Quantum oracles<a class="headerlink" href="#Quantum-oracles" title="Permalink to this heading"></a></h2>
<p><img alt="00987e578dcb46efa48b8bc6a1b3f3b6" class="no-scaled-link" src="../../_images/oracle.png" style="width: 300px; height: 150px;" /></p>
<p><img alt="f9ef6943a8af47cfb62c3408916d1aee" class="no-scaled-link" src="../../_images/oracle.png" style="width: 300px; height: 150px;" /></p>
<p>Suppose we have <span class="math notranslate nohighlight">\(f(x): \{0,1\} \longrightarrow \{0,1\}\)</span>. 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.</p>
<p>Above you see an oracle represented as <span class="math notranslate nohighlight">\(U_f\)</span> which allows us to transform the state <span class="math notranslate nohighlight">\(\ket{x}\ket{y}\)</span> into:</p>
<div class="math notranslate nohighlight">
Expand Down Expand Up @@ -837,7 +837,7 @@ <h2>Quantum parallelism<a class="headerlink" href="#Quantum-parallelism" title="
<h2>Deutschs’ Algorithm:<a class="headerlink" href="#Deutschs'-Algorithm:" title="Permalink to this heading"></a></h2>
<p>Our aim is to find out if <span class="math notranslate nohighlight">\(f: \{0,1\} \longrightarrow \{0,1\}\)</span> is a constant or a balanced function? If constant, <span class="math notranslate nohighlight">\(f(0) = f(1)\)</span>, and if balanced, <span class="math notranslate nohighlight">\(f(0) \neq f(1)\)</span>.</p>
<p>We step through the circuit diagram below and follow the math after the application of each gate.</p>
<p><img alt="2f73de72fa834d77b459cc5603ff8906" class="no-scaled-link" src="../../_images/deutsch.png" style="width: 500px; height: 210px;" /></p>
<p><img alt="797d5a2a59114f16a0deba6bcbb9b2a3" class="no-scaled-link" src="../../_images/deutsch.png" style="width: 500px; height: 210px;" /></p>
<div class="math notranslate nohighlight">
\[\ket{\psi_0} = \ket{01}
\tag{1}\]</div>
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4 changes: 2 additions & 2 deletions pr-2423/examples/python/performance_optimizations.html
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Expand Up @@ -716,9 +716,9 @@ <h1>Optimizing Performance<a class="headerlink" href="#Optimizing-Performance" t
<section id="Gate-Fusion">
<h2>Gate Fusion<a class="headerlink" href="#Gate-Fusion" title="Permalink to this heading"></a></h2>
<p>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 <code class="docutils literal notranslate"><span class="pre">nvidia-mgpu</span></code> backend and setting the <code class="docutils literal notranslate"><span class="pre">CUDAQ_MGPU_FUSE</span></code> environment variable, you can select the degree of fusion that takes place. A full command line example would look like <code class="docutils literal notranslate"><span class="pre">CUDAQ_MGPU_FUSE=4</span> <span class="pre">python</span> <span class="pre">c2h2VQE.py</span> <span class="pre">--target</span> <span class="pre">nvidia</span> <span class="pre">--target-option</span> <span class="pre">fp64,mgpu</span></code></p>
<p><img alt="23212b72e1c9425abafc1b827296bd73" src="../../_images/gate-fuse1.png" /></p>
<p><img alt="2efd57efaf694a9c8a89bdc368c00472" src="../../_images/gate-fuse1.png" /></p>
<p>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.</p>
<p><img alt="ebe1e21139ad47cc9051f9725f359925" src="../../_images/gatefusion.png" /></p>
<p><img alt="e1ef2ebad4194ce5b825190e9a03e8cb" src="../../_images/gatefusion.png" /></p>
</section>
</section>

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2 changes: 1 addition & 1 deletion pr-2423/searchindex.js

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