This is a file from the Wikimedia Commons

File:Qcircuit CNOTfromSQRTSWAP.svg

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

Original file(SVG file, nominally 1,618 × 307 pixels, file size: 13 KB)


English: Quantum circuit diagram constructing a controlled NOT (CNOT) gate from Sqrt(SWAP) gates and single-qubit operations.
Source Own work
Author Geek3
SVG development
LaTeX logo.svg
This vector image was created with LaTeX, postprocessing with pdf2svg, Inkscape and Scour

The following Mathematica code shows the equality: code

R[x_, y_, z_] := MatrixExp[-I/2 Sum[{x, y, z}[[i]] * PauliMatrix[i], {i, 3}]];
I2 = IdentityMatrix[2];
A_ B_ := KroneckerProduct[A, B];
Z = R[0, 0, Pi];
MRZ = R[0, 0, -Pi/2];
RY = R[0, Pi/2, 0];
MRY = R[0, -Pi/2, 0];
SqrtSwap = MatrixPower[{{1,0,0,0}, {0,0,1,0}, {0,1,0,0}, {0,0,0,1}}, 1/2];

(MRZ(MRY.MRZ)).SqrtSwap.(ZI2).SqrtSwap.(I2RY) // MatrixForm


pdflatex $x.tex;
pdf2svg $x.pdf $x_.svg;
inkscape --verb=EditSelectAll --verb=SelectionUnGroup --verb=FileVacuum --verb=FileSave --verb=FileClose $x_.svg;
scour -i $x_.svg -o $x.svg --renderer-workaround --remove-metadata --enable-id-stripping --create-groups --enable-viewboxing

Using Q-circuit by the following LaTex code: code

\input{Qcircuit} % available on
\newcommand{\qwxo}[2][-1]{\ar @{-} [#1,0]|*+<4pt,6pt>[Fo]{#2}}
\Qcircuit @C=1.4em @R=1.8em {
	& \ctrl{1} & \qw & \raisebox{-8ex}{=} & & \qw & \qswap & \gate{Z} & \qswap & \qw & \gate{-RZ} & \qw \\
	& \targ & \qw & & & \gate{RY} & \qswap\qwxo{\scalebox{0.7}{$1\hspace{-1pt}/\hspace{-1pt}2$}} & \qw & \qswap\qwxo{\scalebox{0.7}{$1\hspace{-1pt}/\hspace{-1pt}2$}} & \gate{-RZ} & \gate{-RY} & \qw



I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
This file is licensed under the Creative Commons Attribution 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.

You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

current13:33, 19 July 2015Thumbnail for version as of 13:33, 19 July 20151,618 × 307 (13 KB)Geek3Qcircuit_CNOTfromSQRTSWAP
The following pages on the English Wikipedia link to this file (pages on other projects are not listed):

Global file usage

The following other wikis use this file: