Docs preview for PR #3553.

cuda-quantum-bot · cuda-quantum-bot · commit 2165f2e81932 · 2025-11-19T14:09:07.000Z
diff --git a/pr-3553/api/languages/python_api.html b/pr-3553/api/languages/python_api.html
@@ -2475,7 +2475,7 @@ <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 v3.14)"><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 v3.14)"><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 v3.14)"><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">1591174623</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 v3.14)"><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 v3.14)"><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 v3.14)"><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">4192306507</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-3553/api/languages/python_api.md b/pr-3553/api/languages/python_api.md
@@ -3673,7 +3673,7 @@ 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 v3.14)"){.reference .external}]{.n}*, *[[term_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.14)"){.reference .external}]{.n}*, *[[seed]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.14)"){.reference .external}]{.n}[ ]{.w}[[=]{.pre}]{.o}[ ]{.w}[[1591174623]{.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 v3.14)"){.reference .external}]{.n}*, *[[term_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.14)"){.reference .external}]{.n}*, *[[seed]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.14)"){.reference .external}]{.n}[ ]{.w}[[=]{.pre}]{.o}[ ]{.w}[[4192306507]{.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-3553/applications/python/adapt_qaoa.html b/pr-3553/applications/python/adapt_qaoa.html
@@ -1035,7 +1035,7 @@ <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="b7e86048ec4e49c9bc9e2398aff824a6" class="no-scaled-link" src="../../_images/adapt-qaoa.png" style="width: 1000px;" /></p>
+<div><p><img alt="1012715231424cffba88608ac92d0823" 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-3553/applications/python/adapt_qaoa.md b/pr-3553/applications/python/adapt_qaoa.md
@@ -1822,7 +1822,7 @@ explained above.
 
 <div>
 
-![b7e86048ec4e49c9bc9e2398aff824a6](../../_images/adapt-qaoa.png){.no-scaled-link
+![1012715231424cffba88608ac92d0823](../../_images/adapt-qaoa.png){.no-scaled-link
 style="width: 1000px;"}
 
 </div>
diff --git a/pr-3553/applications/python/adapt_vqe.html b/pr-3553/applications/python/adapt_vqe.html
@@ -1032,7 +1032,7 @@ <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="899a0a12156341c9863931c340ab6f13" class="no-scaled-link" src="../../_images/adapt-vqe.png" style="width: 800px;" /></p>
+<div><p><img alt="6326830ef43f47ff8b579c2d9f59cab8" 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-3553/applications/python/adapt_vqe.md b/pr-3553/applications/python/adapt_vqe.md
@@ -1790,7 +1790,7 @@ Below is a Schematic depiction of the ADAPT-VQE algorithm
 
 <div>
 
-![899a0a12156341c9863931c340ab6f13](../../_images/adapt-vqe.png){.no-scaled-link
+![6326830ef43f47ff8b579c2d9f59cab8](../../_images/adapt-vqe.png){.no-scaled-link
 style="width: 800px;"}
 
 </div>
diff --git a/pr-3553/applications/python/deutsch_algorithm.html b/pr-3553/applications/python/deutsch_algorithm.html
@@ -1092,7 +1092,7 @@ <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="f6d98f93e9014f96adf0c4ab76b7518b" class="no-scaled-link" src="../../_images/oracle.png" style="width: 300px; height: 150px;" /></p>
+<p><img alt="d05137e35104445bb65af82381653f76" 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">
@@ -1140,7 +1140,7 @@ <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="c43bd79183744544b4534636cfd56b0d" class="no-scaled-link" src="../../_images/deutsch.png" style="width: 500px; height: 210px;" /></p>
+<p><img alt="6308537272684e45b0719770a7739362" 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-3553/applications/python/deutsch_algorithm.md b/pr-3553/applications/python/deutsch_algorithm.md
@@ -1871,7 +1871,7 @@ number, the result is 0 otherwise 1.
 ::: {#Quantum-oracles .section}
 ## Quantum oracles[¶](#Quantum-oracles "Permalink to this heading"){.headerlink}
 
-![f6d98f93e9014f96adf0c4ab76b7518b](../../_images/oracle.png){.no-scaled-link
+![d05137e35104445bb65af82381653f76](../../_images/oracle.png){.no-scaled-link
 style="width: 300px; height: 150px;"}
 
 Suppose we have [\\(f(x): \\{0,1\\} \\longrightarrow \\{0,1\\}\\)]{.math
@@ -1977,7 +1977,7 @@ 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.
 
-![c43bd79183744544b4534636cfd56b0d](../../_images/deutsch.png){.no-scaled-link
+![6308537272684e45b0719770a7739362](../../_images/deutsch.png){.no-scaled-link
 style="width: 500px; height: 210px;"}
 
 ::: {.math .notranslate .nohighlight}
diff --git a/pr-3553/applications/python/edge_detection.html b/pr-3553/applications/python/edge_detection.html
@@ -1072,7 +1072,7 @@ <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="4ef8b7a168ec4d60bda1cef03c738d4e" class="no-scaled-link" src="../../_images/pixels-img.png" style="width: 200px;" /></p>
+<div><p><img alt="f600a361d6484836b70a2ddc8c5932ea" 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-3553/applications/python/edge_detection.md b/pr-3553/applications/python/edge_detection.md
@@ -1823,7 +1823,7 @@ each pixel with its position
 
 <div>
 
-![4ef8b7a168ec4d60bda1cef03c738d4e](../../_images/pixels-img.png){.no-scaled-link
+![f600a361d6484836b70a2ddc8c5932ea](../../_images/pixels-img.png){.no-scaled-link
 style="width: 200px;"}
 
 </div>
diff --git a/pr-3553/applications/python/grovers.html b/pr-3553/applications/python/grovers.html
@@ -1114,7 +1114,7 @@ <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="24df9f3f1e0d4ef0aec2e8f0c6f3a543" src="../../_images/grovers-2D-plane.png" /></p>
+<div style="text-align: center;"><p><img alt="1e64aa3f27c84d8e80ab513dbf56337e" 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">
@@ -1229,9 +1229,9 @@ <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="4c7646c57a6c410eb91c8342c5dc86d0" src="../../_images/grovers-steps1-3.png" /></p>
+<div style="text-align: center;"><p><img alt="71e5d04fe6c549c8a2e2786e43e0c428" 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="7a339ffefa00402aac04b7724ff6251d" src="../../_images/grovers-full-rotation.png" /></p>
+<div style="text-align: center;"><p><img alt="776bccc97cff4fe5ae9a67d88ad0a558" 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-3553/applications/python/grovers.md b/pr-3553/applications/python/grovers.md
@@ -2015,7 +2015,7 @@ can imagine them graphed as unit vectors in the positive [\\(y\\)]{.math
 [\\(\|B\\rangle\\)]{.math .notranslate .nohighlight}.
 
 ::: {style="text-align: center;"}
-![24df9f3f1e0d4ef0aec2e8f0c6f3a543](../../_images/grovers-2D-plane.png)
+![1e64aa3f27c84d8e80ab513dbf56337e](../../_images/grovers-2D-plane.png)
 :::
 
 Given that the number of marked states [\\(t\\)]{.math .notranslate
@@ -2230,7 +2230,7 @@ which we will denote by [\\(\\mathcal{G}\\)]{.math .notranslate
 The circuit diagram below puts together steps 1 through 3:
 
 ::: {style="text-align: center;"}
-![4c7646c57a6c410eb91c8342c5dc86d0](../../_images/grovers-steps1-3.png)
+![71e5d04fe6c549c8a2e2786e43e0c428](../../_images/grovers-steps1-3.png)
 :::
 
 Running this circuit initializes [\\(\\ket{\\xi}\\)]{.math .notranslate
@@ -2242,7 +2242,7 @@ from [\\(\|B\\rangle\\)]{.math .notranslate .nohighlight} to
 [\\(\|G\\rangle\\)]{.math .notranslate .nohighlight}.
 
 ::: {style="text-align: center;"}
-![7a339ffefa00402aac04b7724ff6251d](../../_images/grovers-full-rotation.png)
+![776bccc97cff4fe5ae9a67d88ad0a558](../../_images/grovers-full-rotation.png)
 :::
 
 Let's verify that the state resulting from one iteration of Grover's
diff --git a/pr-3553/applications/python/qm_mm_pe.html b/pr-3553/applications/python/qm_mm_pe.html
@@ -1032,7 +1032,7 @@ <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="f14b39f19de3424d97af05a9095460be" class="no-scaled-link" src="../../_images/qm-mm-pe.png" style="width: 600px;" /></p>
+<div><p><img alt="95c1daa230124c819a92e700bbd094ad" 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-3553/applications/python/qm_mm_pe.md b/pr-3553/applications/python/qm_mm_pe.md
@@ -1781,7 +1781,7 @@ mutual polarization.
 
 <div>
 
-![f14b39f19de3424d97af05a9095460be](../../_images/qm-mm-pe.png){.no-scaled-link
+![95c1daa230124c819a92e700bbd094ad](../../_images/qm-mm-pe.png){.no-scaled-link
 style="width: 600px;"}
 
 </div>
diff --git a/pr-3553/applications/python/quantum_transformer.html b/pr-3553/applications/python/quantum_transformer.html
diff --git a/pr-3553/applications/python/quantum_transformer.md b/pr-3553/applications/python/quantum_transformer.md
diff --git a/pr-3553/examples/python/performance_optimizations.html b/pr-3553/examples/python/performance_optimizations.html
diff --git a/pr-3553/examples/python/performance_optimizations.md b/pr-3553/examples/python/performance_optimizations.md
diff --git a/pr-3553/searchindex.js b/pr-3553/searchindex.js

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`@@ -3673,7 +3673,7 @@ aria-hidden="true"}](../default_ops.html "Quantum Operations"){.btn`
`3673`	`3673`
`3674`	`3674`	`:`
`3675`	`3675`
`3676`		- [[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 v3.14)"){.reference .external}]{.n}, [[term_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.14)"){.reference .external}]{.n}, [[seed]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.14)"){.reference .external}]{.n}[ ]{.w}[[=]{.pre}]{.o}[ ]{.w}[[1591174623]{.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}
	`3676`	+ [[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 v3.14)"){.reference .external}]{.n}, [[term_count]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.14)"){.reference .external}]{.n}, [[seed]{.pre}]{.n}[[:]{.pre}]{.p}[ ]{.w}[[[int]{.pre}](https://docs.python.org/3/library/functions.html#int "(in Python v3.14)"){.reference .external}]{.n}[ ]{.w}[[=]{.pre}]{.o}[ ]{.w}[[4192306507]{.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}
`3677`	`3677`
`3678`	`3678`	`:`
`3679`	`3679`