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HPC-Tools-for-Quantum-Computing


			
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            <ol class="chapter"><li><a href="qcgpu.html"><strong aria-hidden="true">1.</strong> QCGPU</a></li><li><ol class="section"><li><a href="getting-started.html"><strong aria-hidden="true">1.1.</strong> Getting Started</a></li></ol></li><li><a href="user-guide/user-guide.html"><strong aria-hidden="true">2.</strong> User Guide</a></li><li><ol class="section"><li><a href="user-guide/registers.html"><strong aria-hidden="true">2.1.</strong> Quantum Registers</a></li><li><a href="user-guide/gates.html"><strong aria-hidden="true">2.2.</strong> Quantum Gates</a></li><li><a href="user-guide/operations.html" class="active"><strong aria-hidden="true">2.3.</strong> Quantum Operations</a></li><li><a href="user-guide/examples.html"><strong aria-hidden="true">2.4.</strong> Examples</a></li><li><a href="user-guide/decoherence.html"><strong aria-hidden="true">2.5.</strong> Decoherence</a></li></ol></li><li><a href="algorithms/algorithms.html"><strong aria-hidden="true">3.</strong> Algorithms</a></li><li><ol class="section"><li><a href="algorithms/bernstein-vazirani.html"><strong aria-hidden="true">3.1.</strong> Bernstein-Vazirani</a></li><li><a href="algorithms/deutsch-jozsa.html"><strong aria-hidden="true">3.2.</strong> Deutsch-Jozsa</a></li><li><a href="algorithms/grover.html"><strong aria-hidden="true">3.3.</strong> Grovers</a></li><li><a href="algorithms/shor.html"><strong aria-hidden="true">3.4.</strong> Shors</a></li><li><a href="algorithms/super-dense.html"><strong aria-hidden="true">3.5.</strong> Super Dense Coding</a></li></ol></li></ol>
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                        <h1 class="menu-title">QCGPU User Guide</h1> 

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                        <a class="header" href="user-guide/operations.html#quantum-operations" id="quantum-operations"><h1>Quantum Operations</h1></a>
<p>There are a number of operations you can preform on quantum registers with QCGPU.</p>
<a class="header" href="user-guide/operations.html#measurement" id="measurement"><h2>Measurement</h2></a>
<p>You can measure the register in two ways. You can either do a single measurement and return an integer with the measured value or you can measure multiple times and return a <code>HashMap&lt;String, i32&gt;</code>, with the key being the bitstring, and the value being the number of times it was measured.</p>
<p>The measurements don't collapse the state.</p>
<p>They are used as follows:</p>
<pre><pre class="playpen"><code class="language-rust">
# #![allow(unused_variables)]
#fn main() {
use qcgpu::State;

let mut state = State::new(5, 0);
state.measure(); // Returns an integer
state.measure_many(1000); // Measures 1000 times, returns a HashMap&lt;String, i32&gt;
#}</code></pre></pre>
<p>There is also a convenience method to measure the first \(n\) qubits in the register. Again, the state is not collapsed</p>
<pre><pre class="playpen"><code class="language-rust">
# #![allow(unused_variables)]
#fn main() {
use qcgpu::State;

let mut state = State::new(5, 0);
state.measure_first(3, 1000); // Measures the first 3 qubits 1000 times, returns a HashMap&lt;String, i32&gt;
#}</code></pre></pre>
<a class="header" href="user-guide/operations.html#probability" id="probability"><h2>Probability</h2></a>
<p>QCGPU provides another method for getting the probability of each outcome.</p>
<p>The probability is calculated for a state \(\lvert \psi \rangle = \sum_{j = 0}^{2^n - 1} \alpha_j \lvert j \rangle\),</p>
<p>\[P(j) = |\alpha_j|^2\]</p>
<p>The method <code>get_probabilities</code> returns a <code>Vec&lt;f32&gt;</code> with each of the values corresponding to \(|\alpha_j|^2\) for each index \(j\).</p>
<pre><pre class="playpen"><code class="language-rust">
# #![allow(unused_variables)]
#fn main() {
use qcgpu::State;

let mut state = State::new(1, 0);
state.h(0);
state.get_probabilities(); // [0.5, 0.5]
#}</code></pre></pre>

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