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<p>Return a random spin operator with the given number of terms (<code class="code docutils literal notranslate"><span class="pre">term_count</span></code>) where each term acts on all targets in the open range [0, qubit_count). An optional seed value may also be provided.</p>
Copy file name to clipboardExpand all lines: pr-4293/applications/python/adapt_qaoa.html
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@@ -1175,7 +1175,7 @@ <h1>ADAPT-QAOA algorithm<a class="headerlink" href="#ADAPT-QAOA-algorithm" title
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parameter</p>
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<p>3- Optimize all parameters currently in the Ansatz <spanclass="math notranslate nohighlight">\(\beta_m, \gamma_m = 1, 2, ...k\)</span> such that <spanclass="math notranslate nohighlight">\(\braket{\psi (k)|H_C|\psi(k)}\)</span> is minimized, and return to the second step.</p>
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<p>Below is a schematic representation of the ADAPT-QAOA algorithm explained above.</p>
<p>Suppose we have <spanclass="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 <spanclass="math notranslate nohighlight">\(U_f\)</span> which allows us to transform the state <spanclass="math notranslate nohighlight">\(\ket{x}\ket{y}\)</span> into:</p>
<h2>Deutsch’s Algorithm:<aclass="headerlink" href="#Deutsch's-Algorithm:" title="Permalink to this heading">¶</a></h2>
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<p>Our aim is to find out if <spanclass="math notranslate nohighlight">\(f: \{0,1\} \longrightarrow \{0,1\}\)</span> is a constant or a balanced function? If constant, <spanclass="math notranslate nohighlight">\(f(0) = f(1)\)</span>, and if balanced, <spanclass="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>
<h2>Quantum Probability Image Encoding (QPIE):<aclass="headerlink" href="#Quantum-Probability-Image-Encoding-(QPIE):" title="Permalink to this heading">¶</a></h2>
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<p>Lets take as an example a classical 2x2 image (4 pixels). We can label each pixel with its position</p>
</div><p>Each pixel will have its own color intensity represented along with its position label as an 8-bit black and white color. To convert the pixel intensity to probability amplitudes of a quantum state</p>
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