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2 changes: 1 addition & 1 deletion dev/.documenter-siteinfo.json
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{"documenter":{"julia_version":"1.10.1","generation_timestamp":"2024-02-23T18:11:06","documenter_version":"1.2.1"}}
{"documenter":{"julia_version":"1.10.1","generation_timestamp":"2024-02-23T18:26:11","documenter_version":"1.2.1"}}
6 changes: 3 additions & 3 deletions dev/generated/examples/multilevel_transmon/index.html
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Number of equality constraint Jacobian evaluations = 51
Number of inequality constraint Jacobian evaluations = 0
Number of Lagrangian Hessian evaluations = 50
Total seconds in IPOPT = 16.507
Total seconds in IPOPT = 16.683

EXIT: Maximum Number of Iterations Exceeded.</code></pre><p>Let&#39;s look at the fidelity in the subspace</p><pre><code class="language- hljs">println(&quot;Fidelity: &quot;, unitary_fidelity(prob; subspace=op.subspace_indices))</code></pre><p>and plot the result using the <code>plot_unitary_populations</code> function.</p><pre><code class="language- hljs">plot_unitary_populations(prob; fig_size=(900, 700))</code></pre><h2 id="Leakage-suppresion"><a class="docs-heading-anchor" href="#Leakage-suppresion">Leakage suppresion</a><a id="Leakage-suppresion-1"></a><a class="docs-heading-anchor-permalink" href="#Leakage-suppresion" title="Permalink"></a></h2><p>As can be seen from the above plot, there is a substantial amount of leakage into the higher levels during the evolution. To mitigate this, we have implemented the ability to add a cost to populating the leakage levels, in particular this is an <span>$L_1$</span> norm cost, which is implemented via slack variables and should ideally drive those leakage populations down to zero. To implement this, pass <code>leakage_suppresion=true</code> and <code>R_leakage={value}</code> to the <code>UnitarySmoothPulseProblem</code> template.</p><pre><code class="language-julia hljs"># create the a leakage suppression problem, initializing with the previous solution

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Number of equality constraint Jacobian evaluations = 51
Number of inequality constraint Jacobian evaluations = 0
Number of Lagrangian Hessian evaluations = 50
Total seconds in IPOPT = 3.405
Total seconds in IPOPT = 3.401

EXIT: Maximum Number of Iterations Exceeded.</code></pre><p>Let&#39;s look at the fidelity in the subspace</p><pre><code class="language- hljs">println(&quot;Fidelity: &quot;, unitary_fidelity(prob_leakage; subspace=op.subspace_indices))</code></pre><p>and plot the result using the <code>plot_unitary_populations</code> function.</p><pre><code class="language- hljs">plot_unitary_populations(prob_leakage; fig_size=(900, 700))</code></pre><p>Here we can see that the leakage populations have been driven substantially down.</p><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../man/losses/">« Losses</a><a class="docs-footer-nextpage" href="../../../lib/">Library »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Friday 23 February 2024 18:11">Friday 23 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
EXIT: Maximum Number of Iterations Exceeded.</code></pre><p>Let&#39;s look at the fidelity in the subspace</p><pre><code class="language- hljs">println(&quot;Fidelity: &quot;, unitary_fidelity(prob_leakage; subspace=op.subspace_indices))</code></pre><p>and plot the result using the <code>plot_unitary_populations</code> function.</p><pre><code class="language- hljs">plot_unitary_populations(prob_leakage; fig_size=(900, 700))</code></pre><p>Here we can see that the leakage populations have been driven substantially down.</p><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../man/losses/">« Losses</a><a class="docs-footer-nextpage" href="../../../lib/">Library »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Friday 23 February 2024 18:26">Friday 23 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
2 changes: 1 addition & 1 deletion dev/generated/man/losses/index.html
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<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Losses · QuantumCollocation.jl</title><meta name="title" content="Losses · QuantumCollocation.jl"/><meta property="og:title" content="Losses · QuantumCollocation.jl"/><meta property="twitter:title" content="Losses · QuantumCollocation.jl"/><meta name="description" content="Documentation for QuantumCollocation.jl."/><meta property="og:description" content="Documentation for QuantumCollocation.jl."/><meta property="twitter:description" content="Documentation for QuantumCollocation.jl."/><meta property="og:url" content="https://aarontrowbridge.github.io/QuantumCollocation.jl/generated/man/losses/"/><meta property="twitter:url" content="https://aarontrowbridge.github.io/QuantumCollocation.jl/generated/man/losses/"/><link rel="canonical" href="https://aarontrowbridge.github.io/QuantumCollocation.jl/generated/man/losses/"/><script data-outdated-warner 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src="../../../search_index.js"></script><script src="../../../siteinfo.js"></script><script src="../../../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../../../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../../../assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><a class="docs-logo" href="../../../"><img src="../../../assets/logo.svg" alt="QuantumCollocation.jl logo"/></a><div class="docs-package-name"><span class="docs-autofit"><a href="../../../">QuantumCollocation.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li><a class="tocitem" href="../../../">Home</a></li><li><a class="tocitem" href="../../quickstart/">Quickstart Guide</a></li><li><span class="tocitem">Manual</span><ul><li><a class="tocitem" href="../problem_templates/">Problem Templates</a></li><li><a class="tocitem" href="../utils/">Utilities</a></li><li class="is-active"><a class="tocitem" href>Losses</a><ul class="internal"><li><a class="tocitem" href="#Unitary-Losses"><span>Unitary Losses</span></a></li></ul></li></ul></li><li><span class="tocitem">Examples</span><ul><li><a class="tocitem" href="../../examples/multilevel_transmon/">Multilevel Transmon</a></li></ul></li><li><a class="tocitem" href="../../../lib/">Library</a></li><li><a class="tocitem" href="../../../release_notes/">Release Notes</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li><a class="is-disabled">Manual</a></li><li class="is-active"><a href>Losses</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Losses</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/aarontrowbridge/QuantumCollocation.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/aarontrowbridge/QuantumCollocation.jl/blob/main/docs/literate/man/losses.jl" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="Losses"><a class="docs-heading-anchor" href="#Losses">Losses</a><a id="Losses-1"></a><a class="docs-heading-anchor-permalink" href="#Losses" title="Permalink"></a></h1><h2 id="Unitary-Losses"><a class="docs-heading-anchor" href="#Unitary-Losses">Unitary Losses</a><a id="Unitary-Losses-1"></a><a class="docs-heading-anchor-permalink" href="#Unitary-Losses" title="Permalink"></a></h2><article class="docstring"><header><a class="docstring-article-toggle-button fa-solid fa-chevron-down" href="javascript:;" title="Collapse docstring"></a><a class="docstring-binding" id="QuantumCollocation.Losses.isovec_unitary_fidelity" href="#QuantumCollocation.Losses.isovec_unitary_fidelity"><code>QuantumCollocation.Losses.isovec_unitary_fidelity</code></a><span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">isovec_unitary_fidelity(Ũ::AbstractVector, Ũgoal::AbstractVector)</code></pre><p>Returns the fidelity between the isomorphic unitary <span>$\vec{\widetilde{U}} \sim U \in SU(n)$</span> and the isomorphic goal unitary <span>$\vec{\widetilde{U}}_{\text{goal}}$</span>.</p><p class="math-container">\[\begin{aligned}
\mathcal{F}(\vec{\widetilde{U}}, \vec{\widetilde{U}}_{\text{goal}}) &amp;= \frac{1}{n} \abs{\tr \qty(U_{\text{goal}}^\dagger U)} \\
&amp;= \frac{1}{n} \sqrt{T_R^{2} + T_I^{2}}
\end{aligned}\]</p><p>where <span>$T_R = \langle \vec{\widetilde{U}}_{\text{goal}, R}, \vec{\widetilde{U}}_R \rangle + \langle \vec{\widetilde{U}}_{\text{goal}, I}, \vec{\widetilde{U}}_I \rangle$</span> and <span>$T_I = \langle \vec{\widetilde{U}}_{\text{goal}, R}, \vec{\widetilde{U}}_I \rangle - \langle \vec{\widetilde{U}}_{\text{goal}, I}, \vec{\widetilde{U}}_R \rangle$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/aarontrowbridge/QuantumCollocation.jl/blob/3aec9b9d9179157c07a2d71742ac2352bd0df814/src/losses.jl#L53-L67">source</a></section></article><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../utils/">« Utilities</a><a class="docs-footer-nextpage" href="../../examples/multilevel_transmon/">Multilevel Transmon »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Friday 23 February 2024 18:11">Friday 23 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
\end{aligned}\]</p><p>where <span>$T_R = \langle \vec{\widetilde{U}}_{\text{goal}, R}, \vec{\widetilde{U}}_R \rangle + \langle \vec{\widetilde{U}}_{\text{goal}, I}, \vec{\widetilde{U}}_I \rangle$</span> and <span>$T_I = \langle \vec{\widetilde{U}}_{\text{goal}, R}, \vec{\widetilde{U}}_I \rangle - \langle \vec{\widetilde{U}}_{\text{goal}, I}, \vec{\widetilde{U}}_R \rangle$</span>.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/aarontrowbridge/QuantumCollocation.jl/blob/3aec9b9d9179157c07a2d71742ac2352bd0df814/src/losses.jl#L53-L67">source</a></section></article><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../utils/">« Utilities</a><a class="docs-footer-nextpage" href="../../examples/multilevel_transmon/">Multilevel Transmon »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Friday 23 February 2024 18:26">Friday 23 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
2 changes: 1 addition & 1 deletion dev/generated/man/problem_templates/index.html
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T,
Δt;
kwargs...
)</code></pre><p>Constructor for a <code>UnitarySmoothPulseProblem</code> from a drift Hamiltonian and a set of control Hamiltonians.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/aarontrowbridge/QuantumCollocation.jl/blob/3aec9b9d9179157c07a2d71742ac2352bd0df814/src/problem_templates/unitary_smooth_pulse_problem.jl#L283-L294">source</a></section></article><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../quickstart/">« Quickstart Guide</a><a class="docs-footer-nextpage" href="../utils/">Utilities »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Friday 23 February 2024 18:11">Friday 23 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
)</code></pre><p>Constructor for a <code>UnitarySmoothPulseProblem</code> from a drift Hamiltonian and a set of control Hamiltonians.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/aarontrowbridge/QuantumCollocation.jl/blob/3aec9b9d9179157c07a2d71742ac2352bd0df814/src/problem_templates/unitary_smooth_pulse_problem.jl#L283-L294">source</a></section></article><hr/><p><em>This page was generated using <a href="https://github.com/fredrikekre/Literate.jl">Literate.jl</a>.</em></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../quickstart/">« Quickstart Guide</a><a class="docs-footer-nextpage" href="../utils/">Utilities »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Friday 23 February 2024 18:26">Friday 23 February 2024</span>. Using Julia version 1.10.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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