Docs preview for PR #3421.

cuda-quantum-bot · cuda-quantum-bot · commit 6460431e3108 · 2025-09-10T07:40:57.000Z
diff --git a/pr-3421/api/languages/python_api.html b/pr-3421/api/languages/python_api.html
@@ -2414,7 +2414,7 @@ <h3>Spin Operators<a class="headerlink" href="#spin-operators" title="Permalink
 <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.operators.spin.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 v3.13)"><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 v3.13)"><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 v3.13)"><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">987055107</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.operators.spin.SpinOperator" title="cudaq.operators.spin.SpinOperator"><span class="pre">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 v3.13)"><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 v3.13)"><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 v3.13)"><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">3364060023</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.operators.spin.SpinOperator" title="cudaq.operators.spin.SpinOperator"><span class="pre">SpinOperator</span></a></span></span></dt>
 <dd></dd></dl>
 
 <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>
diff --git a/pr-3421/api/languages/python_api.md b/pr-3421/api/languages/python_api.md
@@ -3565,7 +3565,7 @@ aria-hidden="true"}](../default_ops.html "Quantum Operations"){.btn
 
     :   
 
-        [[random]{.pre}]{.sig-name .descname}[(]{.sig-paren}*[[qubit_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}*, *[[term_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}*, *[[seed]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}[ ]{.w}[[=]{.pre}]{.o}[ ]{.w}[[987055107]{.pre}]{.default_value}*[)]{.sig-paren} [[→]{.sig-return-icon} [[[SpinOperator]{.pre}](#cudaq.operators.spin.SpinOperator "cudaq.operators.spin.SpinOperator"){.reference .internal}]{.sig-return-typehint}]{.sig-return}
+        [[random]{.pre}]{.sig-name .descname}[(]{.sig-paren}*[[qubit_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}*, *[[term_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}*, *[[seed]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}[ ]{.w}[[=]{.pre}]{.o}[ ]{.w}[[3364060023]{.pre}]{.default_value}*[)]{.sig-paren} [[→]{.sig-return-icon} [[[SpinOperator]{.pre}](#cudaq.operators.spin.SpinOperator "cudaq.operators.spin.SpinOperator"){.reference .internal}]{.sig-return-typehint}]{.sig-return}
 
         :   
 
diff --git a/pr-3421/applications/python/adapt_qaoa.html b/pr-3421/applications/python/adapt_qaoa.html
@@ -980,7 +980,7 @@ <h1>ADAPT-QAOA algorithm<a class="headerlink" href="#ADAPT-QAOA-algorithm" title
 parameter</p>
 <p>3- Optimize all parameters currently in the Ansatz <span class="math notranslate nohighlight">\(\beta_m, \gamma_m = 1, 2, ...k\)</span> such that <span class="math notranslate nohighlight">\(\braket{\psi (k)|H_C|\psi(k)}\)</span> is minimized, and return to the second step.</p>
 <p>Below is a schematic representation of the ADAPT-QAOA algorithm explained above.</p>
-<div><p><img alt="f2e44828b0e34542bc31f27ed127ecc6" class="no-scaled-link" src="../../_images/adapt-qaoa.png" style="width: 1000px;" /></p>
+<div><p><img alt="954c103cce4f430d8b82d746096e9249" class="no-scaled-link" src="../../_images/adapt-qaoa.png" style="width: 1000px;" /></p>
 </div><div class="nbinput nblast docutils container">
 <div class="prompt highlight-none notranslate"><div class="highlight"><pre><span></span>[15]:
 </pre></div>
diff --git a/pr-3421/applications/python/adapt_qaoa.md b/pr-3421/applications/python/adapt_qaoa.md
@@ -1725,7 +1725,7 @@ explained above.
 
 <div>
 
-![f2e44828b0e34542bc31f27ed127ecc6](../../_images/adapt-qaoa.png){.no-scaled-link
+![954c103cce4f430d8b82d746096e9249](../../_images/adapt-qaoa.png){.no-scaled-link
 style="width: 1000px;"}
 
 </div>
diff --git a/pr-3421/applications/python/adapt_vqe.html b/pr-3421/applications/python/adapt_vqe.html
@@ -977,7 +977,7 @@ <h1>ADAPT-VQE algorithm<a class="headerlink" href="#ADAPT-VQE-algorithm" title="
 <p>7- Perform a VQE experiment to re-optimize all parameters in the ansatz.</p>
 <p>8- go to step 4</p>
 <p>Below is a Schematic depiction of the ADAPT-VQE algorithm</p>
-<div><p><img alt="228e8c3648594924b90b4a68ba30208d" class="no-scaled-link" src="../../_images/adapt-vqe.png" style="width: 800px;" /></p>
+<div><p><img alt="8737fcd4f19243a7b6bac5bf660ce493" class="no-scaled-link" src="../../_images/adapt-vqe.png" style="width: 800px;" /></p>
 </div><div class="nbinput docutils container">
 <div class="prompt highlight-none notranslate"><div class="highlight"><pre><span></span>[1]:
 </pre></div>
diff --git a/pr-3421/applications/python/adapt_vqe.md b/pr-3421/applications/python/adapt_vqe.md
@@ -1693,7 +1693,7 @@ Below is a Schematic depiction of the ADAPT-VQE algorithm
 
 <div>
 
-![228e8c3648594924b90b4a68ba30208d](../../_images/adapt-vqe.png){.no-scaled-link
+![8737fcd4f19243a7b6bac5bf660ce493](../../_images/adapt-vqe.png){.no-scaled-link
 style="width: 800px;"}
 
 </div>
diff --git a/pr-3421/applications/python/deutsch_algorithm.html b/pr-3421/applications/python/deutsch_algorithm.html
@@ -1037,7 +1037,7 @@ <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="45b1c3d211f046e18fdc72a2bd12ec9b" class="no-scaled-link" src="../../_images/oracle.png" style="width: 300px; height: 150px;" /></p>
+<p><img alt="44ce77a68696419a8a479719487e2608" 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 logical 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">
@@ -1085,7 +1085,7 @@ <h2>Quantum parallelism<a class="headerlink" href="#Quantum-parallelism" title="
 <h2>Deutsch’s Algorithm:<a class="headerlink" href="#Deutsch's-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="529797ab709540bbb4ecf4328c57a66f" class="no-scaled-link" src="../../_images/deutsch.png" style="width: 500px; height: 210px;" /></p>
+<p><img alt="efe4237cd67a4c5f8e1a776e624532eb" 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>
diff --git a/pr-3421/applications/python/deutsch_algorithm.md b/pr-3421/applications/python/deutsch_algorithm.md
@@ -1774,7 +1774,7 @@ number, the result is 0 otherwise 1.
 ::: {#Quantum-oracles .section}
 ## Quantum oracles[¶](#Quantum-oracles "Permalink to this heading"){.headerlink}
 
-![45b1c3d211f046e18fdc72a2bd12ec9b](../../_images/oracle.png){.no-scaled-link
+![44ce77a68696419a8a479719487e2608](../../_images/oracle.png){.no-scaled-link
 style="width: 300px; height: 150px;"}
 
 Suppose we have [\\(f(x): \\{0,1\\} \\longrightarrow \\{0,1\\}\\)]{.math
@@ -1880,7 +1880,7 @@ balanced function? If constant, [\\(f(0) = f(1)\\)]{.math .notranslate
 We step through the circuit diagram below and follow the math after the
 application of each gate.
 
-![529797ab709540bbb4ecf4328c57a66f](../../_images/deutsch.png){.no-scaled-link
+![efe4237cd67a4c5f8e1a776e624532eb](../../_images/deutsch.png){.no-scaled-link
 style="width: 500px; height: 210px;"}
 
 ::: {.math .notranslate .nohighlight}
diff --git a/pr-3421/applications/python/edge_detection.html b/pr-3421/applications/python/edge_detection.html
@@ -1017,7 +1017,7 @@ <h2>Image<a class="headerlink" href="#Image" title="Permalink to this heading">
 <section id="Quantum-Probability-Image-Encoding-(QPIE):">
 <h2>Quantum Probability Image Encoding (QPIE):<a class="headerlink" href="#Quantum-Probability-Image-Encoding-(QPIE):" title="Permalink to this heading">¶</a></h2>
 <p>Lets take as an example a classical 2x2 image (4 pixels). We can label each pixel with its position</p>
-<div><p><img alt="818c2732baa04686934c74b75729d116" class="no-scaled-link" src="../../_images/pixels-img.png" style="width: 200px;" /></p>
+<div><p><img alt="fac7b9390fe7426094b84080aae44e2d" class="no-scaled-link" src="../../_images/pixels-img.png" style="width: 200px;" /></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>
 <div class="math notranslate nohighlight">
 \[c_i = \frac{I_{yx}}{\sqrt(\sum I^2_{yx})}\]</div>
diff --git a/pr-3421/applications/python/edge_detection.md b/pr-3421/applications/python/edge_detection.md
@@ -1726,7 +1726,7 @@ each pixel with its position
 
 <div>
 
-![818c2732baa04686934c74b75729d116](../../_images/pixels-img.png){.no-scaled-link
+![fac7b9390fe7426094b84080aae44e2d](../../_images/pixels-img.png){.no-scaled-link
 style="width: 200px;"}
 
 </div>
diff --git a/pr-3421/applications/python/grovers.html b/pr-3421/applications/python/grovers.html
@@ -1059,7 +1059,7 @@ <h3>Good and Bad States<a class="headerlink" href="#Good-and-Bad-States" title="
 <p>Let us now examine the geometric picture behind our current discussion. We’ll consider the ambient Hilbert space to be spanned by the standard basis vectors <span class="math notranslate nohighlight">\(|0\rangle, |1\rangle, \dots, |N-1\rangle\)</span>, where the full dimension is <span class="math notranslate nohighlight">\(N = 2^n\)</span>. Since the uniform superposition state <span class="math notranslate nohighlight">\(|\xi\rangle\)</span> can be expressed as a linear combination of the states <span class="math notranslate nohighlight">\(|G\rangle\)</span> and <span class="math notranslate nohighlight">\(|B\rangle\)</span> with real coefficients, all three states <span class="math notranslate nohighlight">\(|\xi\rangle, |G\rangle,\)</span> and <span class="math notranslate nohighlight">\(|B\rangle\)</span>
 reside in a two-dimensional real subspace of the ambient Hilbert space, which we can visualize as a 2D plane as in the image below. Since, <span class="math notranslate nohighlight">\(|G\rangle\)</span> and <span class="math notranslate nohighlight">\(|B\rangle\)</span> are orthogonal, we can imagine them graphed as unit vectors in the positive <span class="math notranslate nohighlight">\(y\)</span> and positive <span class="math notranslate nohighlight">\(x\)</span> directions, respectively. From our previous expression, <span class="math notranslate nohighlight">\(\ket{\xi} = \sin(\theta) |G\rangle + \cos(\theta) |B\rangle,\)</span> we see that the state <span class="math notranslate nohighlight">\(|\xi\rangle\)</span> forms an angle <span class="math notranslate nohighlight">\(\theta\)</span> with
 <span class="math notranslate nohighlight">\(|B\rangle\)</span>.</p>
-<div style="text-align: center;"><p><img alt="83d8a95ee2624127bffe293cb6f6bdac" src="../../_images/grovers-2D-plane.png" /></p>
+<div style="text-align: center;"><p><img alt="b9ef8cab1a1c42ccbaf10055ec8a3caa" src="../../_images/grovers-2D-plane.png" /></p>
 </div><p>Given that the number of marked states <span class="math notranslate nohighlight">\(t\)</span> is typically small compared to <span class="math notranslate nohighlight">\(N\)</span>, it follows that <span class="math notranslate nohighlight">\(\theta = \arcsin\left(\sqrt{\frac{t}{N}}\right)\)</span> is a small angle. This assumption is reasonable, as otherwise, a sufficient number of independent queries to the oracle would likely yield a solution through classical search methods.</p>
 </section>
 <section id="Step-2:-Oracle-application">
@@ -1174,9 +1174,9 @@ <h4>Completing Step 3<a class="headerlink" href="#Completing-Step-3" title="Perm
 <div class="math notranslate nohighlight">
 \[\mathcal{G} = r_\xi \circ r_B = H^{\otimes n} \big( 2|0^{\otimes n} \rangle \langle 0^{\otimes n}| - \text{Id} \big) H^{\otimes n} \mathcal{O}_f.\]</div>
 <p>The circuit diagram below puts together steps 1 through 3:</p>
-<div style="text-align: center;"><p><img alt="2b1123b40d994648b3025374f293efe4" src="../../_images/grovers-steps1-3.png" /></p>
+<div style="text-align: center;"><p><img alt="17f3b91a0ef24a96ae3819ae45ed3ec9" src="../../_images/grovers-steps1-3.png" /></p>
 </div><p>Running this circuit initializes <span class="math notranslate nohighlight">\(\ket{\xi}\)</span> and performs a rotation by <span class="math notranslate nohighlight">\(2\theta\)</span> (twice the angle between <span class="math notranslate nohighlight">\(|\xi\rangle\)</span> and <span class="math notranslate nohighlight">\(|B\rangle\)</span>) in the direction from <span class="math notranslate nohighlight">\(|B\rangle\)</span> to <span class="math notranslate nohighlight">\(|G\rangle\)</span>.</p>
-<div style="text-align: center;"><p><img alt="982a53895cff4427bfb028bae8f27de6" src="../../_images/grovers-full-rotation.png" /></p>
+<div style="text-align: center;"><p><img alt="5c4502d28af14fe88180eb625c10b79c" src="../../_images/grovers-full-rotation.png" /></p>
 </div><p>Let’s verify that the state resulting from one iteration of Grover’s algorithm brings us closer to the good state, <span class="math notranslate nohighlight">\(\ket{G}\)</span>. In particular, notice that the amplitudes of <code class="docutils literal notranslate"><span class="pre">1001</span></code> and <code class="docutils literal notranslate"><span class="pre">1111</span></code> in the resulting state have been amplified compared to the equal superposition of states.</p>
 <div class="nbinput docutils container">
 <div class="prompt highlight-none notranslate"><div class="highlight"><pre><span></span>[18]:
diff --git a/pr-3421/applications/python/grovers.md b/pr-3421/applications/python/grovers.md
@@ -1918,7 +1918,7 @@ can imagine them graphed as unit vectors in the positive [\\(y\\)]{.math
 [\\(\|B\\rangle\\)]{.math .notranslate .nohighlight}.
 
 ::: {style="text-align: center;"}
-![83d8a95ee2624127bffe293cb6f6bdac](../../_images/grovers-2D-plane.png)
+![b9ef8cab1a1c42ccbaf10055ec8a3caa](../../_images/grovers-2D-plane.png)
 :::
 
 Given that the number of marked states [\\(t\\)]{.math .notranslate
@@ -2133,7 +2133,7 @@ which we will denote by [\\(\\mathcal{G}\\)]{.math .notranslate
 The circuit diagram below puts together steps 1 through 3:
 
 ::: {style="text-align: center;"}
-![2b1123b40d994648b3025374f293efe4](../../_images/grovers-steps1-3.png)
+![17f3b91a0ef24a96ae3819ae45ed3ec9](../../_images/grovers-steps1-3.png)
 :::
 
 Running this circuit initializes [\\(\\ket{\\xi}\\)]{.math .notranslate
@@ -2145,7 +2145,7 @@ from [\\(\|B\\rangle\\)]{.math .notranslate .nohighlight} to
 [\\(\|G\\rangle\\)]{.math .notranslate .nohighlight}.
 
 ::: {style="text-align: center;"}
-![982a53895cff4427bfb028bae8f27de6](../../_images/grovers-full-rotation.png)
+![5c4502d28af14fe88180eb625c10b79c](../../_images/grovers-full-rotation.png)
 :::
 
 Let's verify that the state resulting from one iteration of Grover's
diff --git a/pr-3421/applications/python/qm_mm_pe.html b/pr-3421/applications/python/qm_mm_pe.html
@@ -977,7 +977,7 @@ <h2>Key concepts:<a class="headerlink" href="#Key-concepts:" title="Permalink to
 </section>
 <section id="PE-VQE-SCF-Algorithm-Steps">
 <h2>PE-VQE-SCF Algorithm Steps<a class="headerlink" href="#PE-VQE-SCF-Algorithm-Steps" title="Permalink to this heading">¶</a></h2>
-<div><p><img alt="ab84b3b8934a4745bbd61387a583824e" class="no-scaled-link" src="../../_images/qm-mm-pe.png" style="width: 600px;" /></p>
+<div><p><img alt="6c403d1f3f02474fac94f6306735014e" class="no-scaled-link" src="../../_images/qm-mm-pe.png" style="width: 600px;" /></p>
 </div><section id="Step-1:-Initialize-(Classical-pre-processing)">
 <h3>Step 1: Initialize (Classical pre-processing)<a class="headerlink" href="#Step-1:-Initialize-(Classical-pre-processing)" title="Permalink to this heading">¶</a></h3>
 <ul class="simple">
diff --git a/pr-3421/applications/python/qm_mm_pe.md b/pr-3421/applications/python/qm_mm_pe.md
@@ -1684,7 +1684,7 @@ mutual polarization.
 
 <div>
 
-![ab84b3b8934a4745bbd61387a583824e](../../_images/qm-mm-pe.png){.no-scaled-link
+![6c403d1f3f02474fac94f6306735014e](../../_images/qm-mm-pe.png){.no-scaled-link
 style="width: 600px;"}
 
 </div>
diff --git a/pr-3421/applications/python/quantum_transformer.html b/pr-3421/applications/python/quantum_transformer.html
diff --git a/pr-3421/applications/python/quantum_transformer.md b/pr-3421/applications/python/quantum_transformer.md
diff --git a/pr-3421/examples/python/performance_optimizations.html b/pr-3421/examples/python/performance_optimizations.html
diff --git a/pr-3421/examples/python/performance_optimizations.md b/pr-3421/examples/python/performance_optimizations.md
diff --git a/pr-3421/searchindex.js b/pr-3421/searchindex.js

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`@@ -3565,7 +3565,7 @@ aria-hidden="true"}](../default_ops.html "Quantum Operations"){.btn`
`3565`	`3565`
`3566`	`3566`	`:`
`3567`	`3567`
`3568`		- [[random]{.pre}]{.sig-name .descname}[(]{.sig-paren}[[qubit_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}, [[term_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}, [[seed]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}[ ]{.w}[[=]{.pre}]{.o}[ ]{.w}[[987055107]{.pre}]{.default_value}[)]{.sig-paren} [[→]{.sig-return-icon} [[[SpinOperator]{.pre}](#cudaq.operators.spin.SpinOperator "cudaq.operators.spin.SpinOperator"){.reference .internal}]{.sig-return-typehint}]{.sig-return}
	`3568`	+ [[random]{.pre}]{.sig-name .descname}[(]{.sig-paren}[[qubit_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}, [[term_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}, [[seed]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)"){.reference .external}]{.n}[ ]{.w}[[=]{.pre}]{.o}[ ]{.w}[[3364060023]{.pre}]{.default_value}[)]{.sig-paren} [[→]{.sig-return-icon} [[[SpinOperator]{.pre}](#cudaq.operators.spin.SpinOperator "cudaq.operators.spin.SpinOperator"){.reference .internal}]{.sig-return-typehint}]{.sig-return}
`3569`	`3569`
`3570`	`3570`	`:`
`3571`	`3571`