File:Grovers algorithm.svg
Summary
| Description | Grover's algorithm where is an oracle function that returns 1 iff the input maps to a "marked" element (i.e. is an element that we are looking for). The number of qubits is n and the number of elements being searched is . |
| Source | Created in LaTeX code using Q-circuit. Source code follows this template. |
| Author | Bender2k14 |
\documentclass[11pt]{article}
\input{Qcircuit}
\thispagestyle{empty}
\begin{document}
\begin{align*}
\Qcircuit @C=1em @R=.7em {
& & & & & \ustick{\text{Grover diffusion operator}} \\
\lstick{\ket{0}} & /^n \qw & \gate{H^{\otimes n}} & \multigate{1}{U_\omega} & \gate{H^{\otimes n}} & \gate{2 \ket{0^n}\bra{0^n} - I_n} & \gate{H^{\otimes n}} & \qw & \cdots & & \meter & \cw \\
\lstick{\ket{1}} & \qw & \gate{H} & \ghost{U_\omega} & \qw & \qw & \qw & \qw & \cdots & \\
& & & & & \dstick{\text{Repeat $O(\sqrt{N})$ times}}
\gategroup{2}{5}{2}{7}{.7em}{^\}}
\gategroup{2}{4}{3}{10}{.7em}{_\}}
}
\end{align*}
\end{document}
Licensing
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
