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pr-2458/applications/python/deutschs_algorithm.html

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</section>
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<section id="Quantum-oracles">
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<h2>Quantum oracles<a class="headerlink" href="#Quantum-oracles" title="Permalink to this heading"></a></h2>
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<p><img alt="159cc574e9b2435baf370a818a2e849f" class="no-scaled-link" src="../../_images/oracle.png" style="width: 300px; height: 150px;" /></p>
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<p><img alt="42358d84f89044318bc99199c0ae191f" class="no-scaled-link" src="../../_images/oracle.png" style="width: 300px; height: 150px;" /></p>
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<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 logical gates.</p>
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<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>
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<div class="math notranslate nohighlight">
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<h2>Deutsch’s Algorithm:<a class="headerlink" href="#Deutsch's-Algorithm:" title="Permalink to this heading"></a></h2>
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<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>
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<p>We step through the circuit diagram below and follow the math after the application of each gate.</p>
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<p><img alt="596e5de8be2246a58104e3b344a76543" class="no-scaled-link" src="../../_images/deutsch.png" style="width: 500px; height: 210px;" /></p>
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<p><img alt="95d6507a9963444f8ea5a22e2ec3cd93" class="no-scaled-link" src="../../_images/deutsch.png" style="width: 500px; height: 210px;" /></p>
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<div class="math notranslate nohighlight">
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\[\ket{\psi_0} = \ket{01}
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\tag{1}\]</div>

pr-2458/examples/python/executing_photonic_kernels.html

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</div>
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<div class="output_area docutils container">
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<div class="highlight"><pre>
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{ 02:382 11:232 20:386 }
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{ 02:403 11:244 20:353 }
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</pre></div></div>
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<div class="output_area docutils container">
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<div class="highlight"><pre>
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CUDA-Q Version (https://github.com/NVIDIA/cuda-quantum f33a3b946e851e5ed350354d831a6e96fc8ac84c)
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CUDA-Q Version (https://github.com/NVIDIA/cuda-quantum 16d8d6946cac961583cffc08c2d2ccc681246c07)
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</pre></div></div>
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</section>

pr-2458/examples/python/executing_photonic_kernels.ipynb

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"\n"
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"metadata": {
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"execution": {
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"iopub.execute_input": "2025-01-31T19:17:16.413794Z",
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"text": [
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"CUDA-Q Version (https://github.com/NVIDIA/cuda-quantum f33a3b946e851e5ed350354d831a6e96fc8ac84c)\n"
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"CUDA-Q Version (https://github.com/NVIDIA/cuda-quantum 16d8d6946cac961583cffc08c2d2ccc681246c07)\n"
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pr-2458/examples/python/performance_optimizations.html

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<section id="Gate-Fusion">
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<h2>Gate Fusion<a class="headerlink" href="#Gate-Fusion" title="Permalink to this heading"></a></h2>
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<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>
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<p><img alt="38b6584cc6c84377b339cd795324704a" src="../../_images/gate-fuse.png" /></p>
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<p><img alt="e913737b97914679a9a7f85ec460018d" src="../../_images/gate-fuse.png" /></p>
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<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>
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<p><img alt="de6291aaf1e04aa596951e464f115069" src="../../_images/gatefusion.png" /></p>
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<p><img alt="f8167f7aad7b4083afc3e9602fba332e" src="../../_images/gatefusion.png" /></p>
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</section>
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</section>
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pr-2458/searchindex.js

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