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<div class="section" id="gst-gateset-dproduct">
<h1>GST.GateSet.dProduct<a class="headerlink" href="#gst-gateset-dproduct" title="Permalink to this headline">¶</a></h1>
<dl class="method">
<dt id="GST.GateSet.dProduct">
<code class="descclassname">GateSet.</code><code class="descname">dProduct</code><span class="sig-paren">(</span><em>gatestring</em>, <em>gates=True</em>, <em>G0=True</em>, <em>flat=False</em><span class="sig-paren">)</span><a class="headerlink" href="#GST.GateSet.dProduct" title="Permalink to this definition">¶</a></dt>
<dd><p>Compute the derivative of a specified sequence of gate labels.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>gatestring</strong> (<em>GateString or tuple of gate labels</em>) – The sequence of gate labels.</li>
<li><strong>gates</strong> (<em>bool or list, optional</em>) – <p>Whether/which gates should be included as gateset parameters.</p>
<ul>
<li>True = all gates</li>
<li>False = no gates</li>
<li>list of gate labels = those particular gates.</li>
</ul>
</li>
<li><strong>G0</strong> (<em>bool, optional</em>) – Whether the first row of the included gate matrices
should be included as gateset parameters.</li>
<li><strong>flat</strong> (<em>bool, optional</em>) – Affects the shape of the returned derivative array (see below).</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first"><p><strong>deriv</strong> –
* if flat == False, a M x G x G array, where:</p>
<blockquote>
<div><ul class="simple">
<li>M == length of the vectorized gateset (number of gateset parameters)</li>
<li>G == the linear dimension of a gate matrix (G x G gate matrices).</li>
</ul>
<p>and deriv[i,j,k] holds the derivative of the (j,k)-th entry of the product
with respect to the i-th gateset parameter.</p>
</div></blockquote>
<ul>
<li><p class="first">if flat == True, a N x M array, where:</p>
<ul class="simple">
<li>N == the number of entries in a single flattened gate (ordering as numpy.flatten)</li>
<li>M == length of the vectorized gateset (number of gateset parameters)</li>
</ul>
<p>and deriv[i,j] holds the derivative of the i-th entry of the flattened
product with respect to the j-th gateset parameter.</p>
</li>
</ul>
</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">numpy array</p>
</td>
</tr>
</tbody>
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