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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"><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" class="active"><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="#grovers-algorithm" id="grovers-algorithm"><h1>Grovers Algorithm</h1></a>
<p>Given an unstructured set \(N = {a_1, a_2,\dots,a_n}\), find
a given element \(a_i \in N\).</p>
<p>This implementation looks for a given number \(target\) in the set \({0,1,\dots, \text{regwidth}}\).</p>
<p>See <a href="https://cs.uwaterloo.ca/%7Ewatrous/LectureNotes.html">https://cs.uwaterloo.ca/~watrous/LectureNotes.html</a></p>
<pre><pre class="playpen"><code class="language-rust">extern crate qcgpu;
extern crate rand;

use qcgpu::State;
use std::f32::consts::PI;

fn main() {
    let mut state = State::new(8, 1);

    let target = 5;
    let reg_width = 3;

    let num_inversions = ((PI / 4.0) * ((1 &lt;&lt; reg_width) as f32).sqrt()) as i32;

    state.x(reg_width);

    for i in 0..(reg_width + 1) {
        state.h(i);
    }

    for _ in 0..(num_inversions) {
        iteration(&amp;mut state, target, reg_width);
    }

    state.h(reg_width);

    println!(&quot;Measured: {:?}&quot;, state.measure_first(reg_width, 1000));
}

fn oracle(state: &amp;mut State, target: i32, reg_width: i32) {
    for i in 0..reg_width {
        if get_bit(target, i) == 0 {
            state.x(i);
        }
    }

    state.toffoli(0, 1, reg_width + 1);

    let mut i = 1;
    while i &lt; reg_width {
        state.toffoli(i, reg_width + i, reg_width + i + 1);
        i += 1;
    }

    state.cx(reg_width + i, reg_width);

    i = reg_width - 1;
    while i &gt; 0 {
        state.toffoli(i, reg_width + i, reg_width + i + 1);
        i -= 1;
    }

    state.toffoli(0, 1, reg_width + 1);

    for i in 0..reg_width {
        if get_bit(target, i) == 0 {
            state.x(i);
        }
    }
}

fn inversion(state: &amp;mut State, reg_width: i32) {
    for i in 0..reg_width {
        state.x(i);
    }

    state.h(reg_width - 1);

    if reg_width == 3 {
        state.toffoli(0, 1, 2);
    } else {
        state.toffoli(0, 1, reg_width + 1);

        let mut i = 1;
        while i &lt; reg_width {
            state.toffoli(i, reg_width + i, reg_width + i + 1);
            i += 1;
        }

        state.cx(reg_width + i, reg_width - 1);

        i = reg_width - 2;
        while i &gt; 0 {
            state.toffoli(i, reg_width + i, reg_width + i + 1);
            i -= 1;
        }

        state.toffoli(0, 1, reg_width + 1);
    }

    state.h(reg_width - 1);

    for i in 0..reg_width {
        state.x(i);
    }
}

fn iteration(state: &amp;mut State, target: i32, reg_width: i32) {
    oracle(state, target, reg_width);

    for i in 0..reg_width {
        state.h(i);
    }

    inversion(state, reg_width);

    for i in 0..reg_width {
        state.h(i);
    }
}

/// Get the value of a bit
fn get_bit(number: i32, n: i32) -&gt; i32 {
    if number &amp; (1 &lt;&lt; n) != 0 {
        return 1;
    }
    0
}
</code></pre></pre>

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