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167 changes: 45 additions & 122 deletions pr-1417/_sources/examples/python/tutorials/hybrid_qnns.ipynb.txt

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2 changes: 1 addition & 1 deletion pr-1417/api/languages/python_api.html
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Expand Up @@ -1696,7 +1696,7 @@ <h2>Data Types<a class="headerlink" href="#data-types" title="Permalink to this
<em class="property"><span class="pre">static</span><span class="w"> </span></em><span class="sig-name descname"><span class="pre">random</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#cudaq.SpinOperator.random" title="Permalink to this definition"></a></dt>
<dd><dl class="py function">
<dt class="sig sig-object py">
<span class="sig-name descname"><span class="pre">random</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">qubit_count</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">term_count</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">2989708888</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="#cudaq.SpinOperator" title="cudaq.mlir._mlir_libs._quakeDialects.cudaq_runtime.SpinOperator"><span class="pre">cudaq.mlir._mlir_libs._quakeDialects.cudaq_runtime.SpinOperator</span></a></span></span></dt>
<span class="sig-name descname"><span class="pre">random</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">qubit_count</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">term_count</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">3402724981</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="#cudaq.SpinOperator" title="cudaq.mlir._mlir_libs._quakeDialects.cudaq_runtime.SpinOperator"><span class="pre">cudaq.mlir._mlir_libs._quakeDialects.cudaq_runtime.SpinOperator</span></a></span></span></dt>
<dd></dd></dl>

<p>Return a random <a class="reference internal" href="#cudaq.SpinOperator" title="cudaq.SpinOperator"><code class="xref py py-class docutils literal notranslate"><span class="pre">SpinOperator</span></code></a> on the given number of qubits (<code class="code docutils literal notranslate"><span class="pre">qubit_count</span></code>) and composed of the given number of terms (<code class="code docutils literal notranslate"><span class="pre">term_count</span></code>). An optional seed value may also be provided.</p>
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4 changes: 2 additions & 2 deletions pr-1417/examples/python/tutorials/deutschs_algorithm.html
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Expand Up @@ -591,7 +591,7 @@ <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="522f9ebc14724d118da3b00628e44b06" class="no-scaled-link" src="../../../_images/oracle.png" style="width: 300px; height: 150px;" /></p>
<p><img alt="2d00651985974bfb875253697cf305c7" 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 @@ -639,7 +639,7 @@ <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="22d61304b8394e02ac01f1184802fa99" class="no-scaled-link" src="../../../_images/deutsch.png" style="width: 500px; height: 210px;" /></p>
<p><img alt="82601eabfe6848a491495d2ad5d7d5c5" 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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