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	<title>QETLAB:Change log/v0.6 - Revision history</title>
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	<updated>2026-08-05T07:32:28Z</updated>
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		<title>Nathaniel: Corrected list markdown</title>
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		<updated>2014-11-28T02:29:29Z</updated>

		<summary type="html">&lt;p&gt;Corrected list markdown&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 02:29, 28 November 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===New functions===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===New functions===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[AbsPPTConstraints]]&amp;lt;/tt&amp;gt;: Computes the linear matrix inequalities that determine whether or not a mixed state is &quot;absolutely PPT&quot;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[AbsPPTConstraints]]&amp;lt;/tt&amp;gt;: Computes the linear matrix inequalities that determine whether or not a mixed state is &quot;absolutely PPT&quot;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[Fidelity]]&amp;lt;/tt&amp;gt;: Computes the fidelity of two quantum states, or allows the user to optimize over the fidelity of two quantum states in CVX.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[Fidelity]]&amp;lt;/tt&amp;gt;: Computes the fidelity of two quantum states, or allows the user to optimize over the fidelity of two quantum states in CVX.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[InSeparableBall]]&amp;lt;/tt&amp;gt;: Determines whether or not a given mixed state is within the ball of separability centered at the maximally-mixed state.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[IsAbsPPT]]&amp;lt;/tt&amp;gt;: Determines whether or not a mixed state is &quot;absolutely PPT&quot;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[InSeparableBall]]&amp;lt;/tt&amp;gt;: Determines whether or not a given mixed state is within the ball of separability centered at the maximally-mixed state.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[MaximumOutputFidelity]]&amp;lt;/tt&amp;gt;: Computes the maximum output fidelity of two quantum channels.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[XORClassicalValue]]&amp;lt;/tt&amp;gt;: Computes the classical value of a two-player nonlocal XOR game.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[IsAbsPPT]]&amp;lt;/tt&amp;gt;: Determines whether or not a mixed state is &quot;absolutely PPT&quot;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;helpers/[[superoperator_dims]]&amp;lt;/tt&amp;gt;: Computes the input, output, and environment dimensions of a superoperator. Introduced in order to clean up the code in many other functions.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[MaximumOutputFidelity]]&amp;lt;/tt&amp;gt;: Computes the maximum output fidelity of two quantum channels.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[XORClassicalValue]]&amp;lt;/tt&amp;gt;: Computes the classical value of a two-player nonlocal XOR game.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;helpers/[[superoperator_dims]]&amp;lt;/tt&amp;gt;: Computes the input, output, and environment dimensions of a superoperator. Introduced in order to clean up the code in many other functions.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Changes to existing functions===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Changes to existing functions===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[BrauerStates]]&amp;lt;/tt&amp;gt;: Reversed the order of the input arguments &amp;lt;tt&amp;gt;D&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;P&amp;lt;/tt&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[BrauerStates]]&amp;lt;/tt&amp;gt;: Reversed the order of the input arguments &amp;lt;tt&amp;gt;D&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;P&amp;lt;/tt&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[CBNorm]]&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;[[DiamondNorm]]&amp;lt;/tt&amp;gt;: Updated the script so that it can now also be used in the objective function or constraints of other CVX optimization problems (so you can minimize the diamond norm of all channels satisfying a given linear constraint, for example).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[CBNorm]]&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;[[DiamondNorm]]&amp;lt;/tt&amp;gt;: Updated the script so that it can now also be used in the objective function or constraints of other CVX optimization problems (so you can minimize the diamond norm of all channels satisfying a given linear constraint, for example).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[Entropy]]&amp;lt;/tt&amp;gt;: Now has a second optional input argument, &amp;lt;tt&amp;gt;ALPHA&amp;lt;/tt&amp;gt;, which allows the user to compute arbitrary Renyi entropies, rather than just the usual von Neumann entropy.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[Pauli]]&amp;lt;/tt&amp;gt;: Now allows the user to request a several-qubit Pauli operator, rather than just a 1-qubit Pauli operator. Also, this function now returns output that is sparse by default, rather than full.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[Entropy]]&amp;lt;/tt&amp;gt;: Now has a second optional input argument, &amp;lt;tt&amp;gt;ALPHA&amp;lt;/tt&amp;gt;, which allows the user to compute arbitrary Renyi entropies, rather than just the usual von Neumann entropy.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[Swap]]&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;[[SwapOperator]]&amp;lt;/tt&amp;gt;: Reversed the order of the &amp;lt;tt&amp;gt;SYS&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;DIM&amp;lt;/tt&amp;gt; optional input arguments.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &lt;/ins&gt;&amp;lt;tt&amp;gt;[[Twirl]]&amp;lt;/tt&amp;gt;: Can now also perform Pauli twirls.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[Pauli]]&amp;lt;/tt&amp;gt;: Now allows the user to request a several-qubit Pauli operator, rather than just a 1-qubit Pauli operator. Also, this function now returns output that is sparse by default, rather than full.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[Swap]]&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;[[SwapOperator]]&amp;lt;/tt&amp;gt;: Reversed the order of the &amp;lt;tt&amp;gt;SYS&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;DIM&amp;lt;/tt&amp;gt; optional input arguments.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;- &lt;/del&gt;&amp;lt;tt&amp;gt;[[Twirl]]&amp;lt;/tt&amp;gt;: Can now also perform Pauli twirls.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Nathaniel</name></author>
	</entry>
	<entry>
		<id>https://qetlab.com/wiki/index.php?title=QETLAB:Change_log/v0.6&amp;diff=617&amp;oldid=prev</id>
		<title>Nathaniel at 20:33, 27 November 2014</title>
		<link rel="alternate" type="text/html" href="https://qetlab.com/wiki/index.php?title=QETLAB:Change_log/v0.6&amp;diff=617&amp;oldid=prev"/>
		<updated>2014-11-27T20:33:48Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:33, 27 November 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===New functions===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===New functions===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;- &amp;lt;tt&amp;gt;[[AbsPPTConstraints]]&amp;lt;/tt&amp;gt;: Computes the linear matrix inequalities that determine whether or not a mixed state is &quot;absolutely PPT&quot;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;- &amp;lt;tt&amp;gt;[[AbsPPTConstraints]]&amp;lt;/tt&amp;gt;: Computes the linear matrix inequalities that determine whether or not a mixed state is &quot;absolutely PPT&quot;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;- &amp;lt;tt&amp;gt;[[Fidelity]]&amp;lt;/tt&amp;gt;: Computes the fidelity of two quantum states, or allows the user to optimize over the fidelity of two quantum states in CVX.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;- &amp;lt;tt&amp;gt;[[Fidelity]]&amp;lt;/tt&amp;gt;: Computes the fidelity of two quantum states, or allows the user to optimize over the fidelity of two quantum states in CVX.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Nathaniel</name></author>
	</entry>
	<entry>
		<id>https://qetlab.com/wiki/index.php?title=QETLAB:Change_log/v0.6&amp;diff=616&amp;oldid=prev</id>
		<title>Nathaniel: Created v0.6 changelog</title>
		<link rel="alternate" type="text/html" href="https://qetlab.com/wiki/index.php?title=QETLAB:Change_log/v0.6&amp;diff=616&amp;oldid=prev"/>
		<updated>2014-11-27T20:33:24Z</updated>

		<summary type="html">&lt;p&gt;Created v0.6 changelog&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;===New functions===&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[AbsPPTConstraints]]&amp;lt;/tt&amp;gt;: Computes the linear matrix inequalities that determine whether or not a mixed state is &amp;quot;absolutely PPT&amp;quot;&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[Fidelity]]&amp;lt;/tt&amp;gt;: Computes the fidelity of two quantum states, or allows the user to optimize over the fidelity of two quantum states in CVX.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[InSeparableBall]]&amp;lt;/tt&amp;gt;: Determines whether or not a given mixed state is within the ball of separability centered at the maximally-mixed state.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[IsAbsPPT]]&amp;lt;/tt&amp;gt;: Determines whether or not a mixed state is &amp;quot;absolutely PPT&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[MaximumOutputFidelity]]&amp;lt;/tt&amp;gt;: Computes the maximum output fidelity of two quantum channels.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[XORClassicalValue]]&amp;lt;/tt&amp;gt;: Computes the classical value of a two-player nonlocal XOR game.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;helpers/[[superoperator_dims]]&amp;lt;/tt&amp;gt;: Computes the input, output, and environment dimensions of a superoperator. Introduced in order to clean up the code in many other functions.&lt;br /&gt;
&lt;br /&gt;
===Changes to existing functions===&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[BrauerStates]]&amp;lt;/tt&amp;gt;: Reversed the order of the input arguments &amp;lt;tt&amp;gt;D&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;P&amp;lt;/tt&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[CBNorm]]&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;[[DiamondNorm]]&amp;lt;/tt&amp;gt;: Updated the script so that it can now also be used in the objective function or constraints of other CVX optimization problems (so you can minimize the diamond norm of all channels satisfying a given linear constraint, for example).&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[Entropy]]&amp;lt;/tt&amp;gt;: Now has a second optional input argument, &amp;lt;tt&amp;gt;ALPHA&amp;lt;/tt&amp;gt;, which allows the user to compute arbitrary Renyi entropies, rather than just the usual von Neumann entropy.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[Pauli]]&amp;lt;/tt&amp;gt;: Now allows the user to request a several-qubit Pauli operator, rather than just a 1-qubit Pauli operator. Also, this function now returns output that is sparse by default, rather than full.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[Swap]]&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;[[SwapOperator]]&amp;lt;/tt&amp;gt;: Reversed the order of the &amp;lt;tt&amp;gt;SYS&amp;lt;/tt&amp;gt; and &amp;lt;tt&amp;gt;DIM&amp;lt;/tt&amp;gt; optional input arguments.&lt;br /&gt;
&lt;br /&gt;
- &amp;lt;tt&amp;gt;[[Twirl]]&amp;lt;/tt&amp;gt;: Can now also perform Pauli twirls.&lt;/div&gt;</summary>
		<author><name>Nathaniel</name></author>
	</entry>
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