File:Grover's algorithm circuit.svg

Summary[edit]

DescriptionGrover's algorithm circuit.svg	English: Circuit description of Grover's algorithm, where ${\displaystyle U_{\omega }}$ is the Grover oracle that flips the sign of ${\displaystyle {!}s\rangle }$ if it is the marked element. n is the number of qubits and ${\displaystyle N=2^{n}}$
Date	7 June 2021
Source	Own work
Author	Fawly

Generated from the following tex file:

\documentclass[11pt]{article}
\usepackage[braket]{qcircuit}
\usepackage{amsmath} % Useful AMS-provided structure
\usepackage{microtype} % fixes small typographic errors

\thispagestyle{empty}
\begin{document}
\[
 \Qcircuit @C=1em @R=.7em {
    &&&&& \ustick{\text{Grover diffusion operator}} \\
    \lstick{\ket{0}} & \qw & \gate{H} & \multigate{2}{U_\omega} & \gate{H} & \multigate{2}{2 \ket{0^n}\bra{0^n} - I_n} & \gate{H} & \qw & \cdots & & \meter & \cw \\
    \lstick{\cdots} & & \cdots & & \cdots & & \cdots & & & & \cdots \\
    \lstick{\ket{0}} & \qw & \gate{H} & \ghost{U_\omega} & \gate{H} & \ghost{2 \ket{0^n}\bra{0^n} - I_n} & \gate{H} & \qw & \cdots & & \meter & \cw \\
    %\lstick{\ket{1}} & \qw & \gate{H} & \ghost{U_\omega} & \qw & \qw & \qw & \qw & \cdots & \\
    &&&&& \dstick{\text{Repeat $\approx \frac{\pi}{4}\sqrt{N}$ times}}
  \gategroup{2}{5}{2}{7}{.7em}{^\}}
  \gategroup{2}{4}{4}{7}{.7em}{_\}}
  \inputgrouph{2}{4}{1.35em}{\ket{0^n}\Bigg\{}{3.5em}
  }
\]
\end{document}

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