File:Quantum error correction of bit flip using three qubits.svg

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Summary

Description
English: Quantum error correction of for a single qubit where at most one bit flip error can happen in the channel .
Source Created in LaTeX using Q-circuit. Source code below.
Author Self
\documentclass[11pt]{article}
\input{Qcircuit}
\thispagestyle{empty}
\begin{document}
\begin{align*}
 \Qcircuit @C=1em @R=.7em {
  \lstick{\ket{\psi}} & \ctrl{1} & \ctrl{2} & \multigate{2}{E_{\text{bit}}} & \ctrl{1} & \ctrl{2} & \targ     & \rstick{\ket{\psi}} \qw\\
  \lstick{\ket{0}}    & \targ    & \qw      & \ghost{E_{\text{bit}}}        & \targ    & \qw      & \ctrl{-1} & \qw \\
  \lstick{\ket{0}}    & \qw      & \targ    & \ghost{E_{\text{bit}}}        & \qw      & \targ    & \ctrl{-2} & \qw
 }
\end{align*}
\end{document}

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w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported licence.
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 licence, 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.
You may select the licence of your choice.

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3-Qubit-Bit-Flip Code: the first two gates encode the state in the logical subspace, the last three decode it. In between single bit-flip errors can be corrected.

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current09:12, 11 March 2011Thumbnail for version as of 09:12, 11 March 2011241 × 64 (41 KB)wikimediacommons>Bender2k14{{Information |Description ={{en|1=Quantum error correction of for a single qubit <math>\psi</math> where at most one bit flip error can happen in the channel <math>E_\text{bit}</math>.}} |Source =Created in LaTeX using [http://www.cquic.org/Qc