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+<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Evaluating codes and decoders · QuantumClifford.jl</title><meta name="title" content="Evaluating codes and decoders · QuantumClifford.jl"/><meta property="og:title" content="Evaluating codes and decoders · QuantumClifford.jl"/><meta property="twitter:title" content="Evaluating codes and decoders · QuantumClifford.jl"/><meta name="description" content="Documentation for QuantumClifford.jl."/><meta property="og:description" content="Documentation for QuantumClifford.jl."/><meta property="twitter:description" content="Documentation for QuantumClifford.jl."/><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script 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/catppuccin-mocha.css" data-theme-name="catppuccin-mocha"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-macchiato.css" data-theme-name="catppuccin-macchiato"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-frappe.css" data-theme-name="catppuccin-frappe"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-latte.css" data-theme-name="catppuccin-latte"/><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"><div class="docs-package-name"><span class="docs-autofit"><a href="../">QuantumClifford.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="../">QuantumClifford.jl</a></li><li><span class="tocitem">Stabilizer Tableau Algebra</span><ul><li><a class="tocitem" href="../stab-algebra-manual/">Manual</a></li><li><a class="tocitem" href="../canonicalization/">Canonicalization</a></li><li><a class="tocitem" href="../mixed/">Mixed States</a></li><li><a class="tocitem" href="../graphs/">Graph States</a></li><li><a class="tocitem" href="../datastructures/">Datastructure Choice</a></li><li><a class="tocitem" href="../commonstates/">Useful States</a></li></ul></li><li><span class="tocitem">Noisy Circuits</span><ul><li><a class="tocitem" href="../noisycircuits/">Simulation of Noisy Circuits</a></li><li><a class="tocitem" href="../noisycircuits_mc/">Monte Carlo</a></li><li><a class="tocitem" href="../noisycircuits_perturb/">Perturbative Expansions</a></li><li><a class="tocitem" href="../ecc_example_sim/">ECC example</a></li><li><a class="tocitem" href="../noisycircuits_ops/">Circuit Operations</a></li><li><a class="tocitem" href="../noisycircuits_API/">API</a></li></ul></li><li><span class="tocitem">ECC compendium</span><ul><li class="is-active"><a class="tocitem" href>Evaluating codes and decoders</a></li><li><a class="tocitem" href="../ECC_API/">API</a></li></ul></li><li><a class="tocitem" href="../allops/">All Gates</a></li><li><a class="tocitem" href="../plotting/">Visualizations</a></li><li><a class="tocitem" href="../API/">API</a></li><li><a class="tocitem" href="../tutandpub/">Tutorials and Publications</a></li><li><a class="tocitem" href="../references/">Suggested Readings &amp; References</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">ECC compendium</a></li><li class="is-active"><a href>Evaluating codes and decoders</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Evaluating codes and decoders</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/QuantumSavory/QuantumClifford.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/QuantumSavory/QuantumClifford.jl/blob/master/docs/src/ECC_evaluating.md" 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="ecc_evaluating"><a class="docs-heading-anchor" href="#ecc_evaluating">Evaluating an ECC code and decoders</a><a id="ecc_evaluating-1"></a><a class="docs-heading-anchor-permalink" href="#ecc_evaluating" title="Permalink"></a></h1><div class="admonition is-warning"><header class="admonition-header">The documentation is incomplete</header><div class="admonition-body"><p>While waiting for a better documentation than the small example below, consider looking into <a href="../ECC_API/#QuantumClifford.ECC.evaluate_decoder-Tuple{QuantumClifford.ECC.AbstractSyndromeDecoder, QuantumClifford.ECC.AbstractECCSetup, Int64}"><code>evaluate_decoder</code></a>, <a href="../ECC_API/#QuantumClifford.ECC.TableDecoder"><code>TableDecoder</code></a>, <a href="../ECC_API/#QuantumClifford.ECC.BeliefPropDecoder-Tuple"><code>BeliefPropDecoder</code></a>, <a href="../ECC_API/#QuantumClifford.ECC.PyBeliefPropDecoder-Tuple"><code>PyBeliefPropDecoder</code></a>, <a href="../ECC_API/#QuantumClifford.ECC.PyMatchingDecoder-Tuple"><code>PyMatchingDecoder</code></a>, <a href="../ECC_API/#QuantumClifford.ECC.CommutationCheckECCSetup"><code>CommutationCheckECCSetup</code></a>, <a href="../ECC_API/#QuantumClifford.ECC.NaiveSyndromeECCSetup"><code>NaiveSyndromeECCSetup</code></a>, <a href="../ECC_API/#QuantumClifford.ECC.ShorSyndromeECCSetup"><code>ShorSyndromeECCSetup</code></a></p></div></div><p>This is a quick and durty example on how to use some of the decoders.</p><p>A function to plot the results of </p><pre><code class="language-julia hljs">using CairoMakie
+
+function make_decoder_figure(phys_errors, results, title=&quot;&quot;)
+    minlim = min(minimum(phys_errors),minimum(results[results.!=0]))
+    maxlim = min(1, max(maximum(phys_errors),maximum(results[results.!=0])))
+
+    fresults = copy(results)
+    fresults[results.==0] .= NaN
+
+    f = Figure()
+    a = Axis(f[1,1],
+        xscale=log10, yscale=log10,
+        limits=(minlim,maxlim,minlim,maxlim),
+        aspect=DataAspect(),
+        xlabel=&quot;physical error rate&quot;,
+        ylabel=&quot;logical error rate&quot;,
+        title=title)
+    lines!(a, [minlim,maxlim],[minlim,maxlim], color=:black)
+    for (i,sresults) in enumerate(eachslice(fresults, dims=1))
+        scatter!(a, phys_errors, sresults[:,1], marker=:+, color=Cycled(i))
+        scatter!(a, phys_errors, sresults[:,2], marker=:x, color=Cycled(i))
+    end
+    f
+end</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">make_decoder_figure (generic function with 2 methods)</code></pre><p>Testing out a lookup table decoder on a small code.</p><pre><code class="language-julia hljs">using QuantumClifford
+using QuantumClifford.ECC
+
+mem_errors = 0.001:0.0005:0.01
+codes = [Shor9()]
+results = zeros(length(codes), length(mem_errors), 2)
+
+for (ic, c) in pairs(codes)
+    for (i,m) in pairs(mem_errors)
+        setup = CommutationCheckECCSetup(m)
+        decoder = TableDecoder(c)
+        r = evaluate_decoder(decoder, setup, 10000)
+        results[ic,i,:] .= r
+    end
+end
+
+make_decoder_figure(mem_errors, results, &quot;Shor&#39;s code with a lookup table decoder&quot;)</code></pre><img src="2587f444.png" alt="Example block output"/><p>Testing out the toric code with a decoder provided by the python package <code>pymatching</code> (provided in julia by the meta package <code>PyQDecoders.jl</code>).</p><pre><code class="language-julia hljs">import PyQDecoders
+
+mem_errors = 0.001:0.005:0.1
+codes = [Toric(4,4), Toric(6,6)]
+results = zeros(length(codes), length(mem_errors), 2)
+
+for (ic, c) in pairs(codes)
+    for (i,m) in pairs(mem_errors)
+        setup = ShorSyndromeECCSetup(m, 0)
+        decoder = PyMatchingDecoder(c)
+        r = evaluate_decoder(decoder, setup, 1000)
+        results[ic,i,:] .= r
+    end
+end
+
+make_decoder_figure(mem_errors, results, &quot;Toric code with a MWPM decoder&quot;)</code></pre><img src="0ebe37ea.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../noisycircuits_API/">« API</a><a class="docs-footer-nextpage" href="../ECC_API/">API »</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="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Friday 18 October 2024 09:44">Friday 18 October 2024</span>. Using Julia version 1.11.1.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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