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Jun 28, 2014
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Initial commit of the qcircuit tex files #2

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132 changes: 132 additions & 0 deletions Qcircuit.tex
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% Q-circuit version 2
% Copyright (C) 2004 Steve Flammia & Bryan Eastin
% Last modified on: 9/16/2011
%
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 2 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program; if not, write to the Free Software
% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA

% Thanks to the Xy-pic guys, Kristoffer H Rose, Ross Moore, and Daniel Müllner,
% for their help in making Qcircuit work with Xy-pic version 3.8.
% Thanks also to Dave Clader, Andrew Childs, Rafael Possignolo, Tyson Williams,
% Sergio Boixo, Cris Moore, Jonas Anderson, and Stephan Mertens for helping us test
% and/or develop the new version.

\usepackage{xy}
\xyoption{matrix}
\xyoption{frame}
\xyoption{arrow}
\xyoption{arc}

\usepackage{ifpdf}
\ifpdf
\else
\PackageWarningNoLine{Qcircuit}{Qcircuit is loading in Postscript mode. The Xy-pic options ps and dvips will be loaded. If you wish to use other Postscript drivers for Xy-pic, you must modify the code in Qcircuit.tex}
% The following options load the drivers most commonly required to
% get proper Postscript output from Xy-pic. Should these fail to work,
% try replacing the following two lines with some of the other options
% given in the Xy-pic reference manual.
\xyoption{ps}
\xyoption{dvips}
\fi

% The following resets Xy-pic matrix alignment to the pre-3.8 default, as
% required by Qcircuit.
\entrymodifiers={!C\entrybox}

\newcommand{\bra}[1]{{\left\langle{#1}\right\vert}}
\newcommand{\ket}[1]{{\left\vert{#1}\right\rangle}}
% Defines Dirac notation. %7/5/07 added extra braces so that the commands will work in subscripts.
\newcommand{\qw}[1][-1]{\ar @{-} [0,#1]}
% Defines a wire that connects horizontally. By default it connects to the object on the left of the current object.
% WARNING: Wire commands must appear after the gate in any given entry.
\newcommand{\qwx}[1][-1]{\ar @{-} [#1,0]}
% Defines a wire that connects vertically. By default it connects to the object above the current object.
% WARNING: Wire commands must appear after the gate in any given entry.
\newcommand{\cw}[1][-1]{\ar @{=} [0,#1]}
% Defines a classical wire that connects horizontally. By default it connects to the object on the left of the current object.
% WARNING: Wire commands must appear after the gate in any given entry.
\newcommand{\cwx}[1][-1]{\ar @{=} [#1,0]}
% Defines a classical wire that connects vertically. By default it connects to the object above the current object.
% WARNING: Wire commands must appear after the gate in any given entry.
\newcommand{\gate}[1]{*+<.6em>{#1} \POS ="i","i"+UR;"i"+UL **\dir{-};"i"+DL **\dir{-};"i"+DR **\dir{-};"i"+UR **\dir{-},"i" \qw}
% Boxes the argument, making a gate.
\newcommand{\meter}{*=<1.8em,1.4em>{\xy ="j","j"-<.778em,.322em>;{"j"+<.778em,-.322em> \ellipse ur,_{}},"j"-<0em,.4em>;p+<.5em,.9em> **\dir{-},"j"+<2.2em,2.2em>*{},"j"-<2.2em,2.2em>*{} \endxy} \POS ="i","i"+UR;"i"+UL **\dir{-};"i"+DL **\dir{-};"i"+DR **\dir{-};"i"+UR **\dir{-},"i" \qw}
% Inserts a measurement meter.
% In case you're wondering, the constants .778em and .322em specify
% one quarter of a circle with radius 1.1em.
% The points added at + and - <2.2em,2.2em> are there to strech the
% canvas, ensuring that the size is unaffected by erratic spacing issues
% with the arc.
\newcommand{\measure}[1]{*+[F-:<.9em>]{#1} \qw}
% Inserts a measurement bubble with user defined text.
\newcommand{\measuretab}[1]{*{\xy*+<.6em>{#1}="e";"e"+UL;"e"+UR **\dir{-};"e"+DR **\dir{-};"e"+DL **\dir{-};"e"+LC-<.5em,0em> **\dir{-};"e"+UL **\dir{-} \endxy} \qw}
% Inserts a measurement tab with user defined text.
\newcommand{\measureD}[1]{*{\xy*+=<0em,.1em>{#1}="e";"e"+UR+<0em,.25em>;"e"+UL+<-.5em,.25em> **\dir{-};"e"+DL+<-.5em,-.25em> **\dir{-};"e"+DR+<0em,-.25em> **\dir{-};{"e"+UR+<0em,.25em>\ellipse^{}};"e"+C:,+(0,1)*{} \endxy} \qw}
% Inserts a D-shaped measurement gate with user defined text.
\newcommand{\multimeasure}[2]{*+<1em,.9em>{\hphantom{#2}} \qw \POS[0,0].[#1,0];p !C *{#2},p \drop\frm<.9em>{-}}
% Draws a multiple qubit measurement bubble starting at the current position and spanning #1 additional gates below.
% #2 gives the label for the gate.
% You must use an argument of the same width as #2 in \ghost for the wires to connect properly on the lower lines.
\newcommand{\multimeasureD}[2]{*+<1em,.9em>{\hphantom{#2}} \POS [0,0]="i",[0,0].[#1,0]="e",!C *{#2},"e"+UR-<.8em,0em>;"e"+UL **\dir{-};"e"+DL **\dir{-};"e"+DR+<-.8em,0em> **\dir{-};{"e"+DR+<0em,.8em>\ellipse^{}};"e"+UR+<0em,-.8em> **\dir{-};{"e"+UR-<.8em,0em>\ellipse^{}},"i" \qw}
% Draws a multiple qubit D-shaped measurement gate starting at the current position and spanning #1 additional gates below.
% #2 gives the label for the gate.
% You must use an argument of the same width as #2 in \ghost for the wires to connect properly on the lower lines.
\newcommand{\control}{*!<0em,.025em>-=-<.2em>{\bullet}}
% Inserts an unconnected control.
\newcommand{\controlo}{*+<.01em>{\xy -<.095em>*\xycircle<.19em>{} \endxy}}
% Inserts a unconnected control-on-0.
\newcommand{\ctrl}[1]{\control \qwx[#1] \qw}
% Inserts a control and connects it to the object #1 wires below.
\newcommand{\ctrlo}[1]{\controlo \qwx[#1] \qw}
% Inserts a control-on-0 and connects it to the object #1 wires below.
\newcommand{\targ}{*+<.02em,.02em>{\xy ="i","i"-<.39em,0em>;"i"+<.39em,0em> **\dir{-}, "i"-<0em,.39em>;"i"+<0em,.39em> **\dir{-},"i"*\xycircle<.4em>{} \endxy} \qw}
% Inserts a CNOT target.
\newcommand{\qswap}{*=<0em>{\times} \qw}
% Inserts half a swap gate.
% Must be connected to the other swap with \qwx.
\newcommand{\multigate}[2]{*+<1em,.9em>{\hphantom{#2}} \POS [0,0]="i",[0,0].[#1,0]="e",!C *{#2},"e"+UR;"e"+UL **\dir{-};"e"+DL **\dir{-};"e"+DR **\dir{-};"e"+UR **\dir{-},"i" \qw}
% Draws a multiple qubit gate starting at the current position and spanning #1 additional gates below.
% #2 gives the label for the gate.
% You must use an argument of the same width as #2 in \ghost for the wires to connect properly on the lower lines.
\newcommand{\ghost}[1]{*+<1em,.9em>{\hphantom{#1}} \qw}
% Leaves space for \multigate on wires other than the one on which \multigate appears. Without this command wires will cross your gate.
% #1 should match the second argument in the corresponding \multigate.
\newcommand{\push}[1]{*{#1}}
% Inserts #1, overriding the default that causes entries to have zero size. This command takes the place of a gate.
% Like a gate, it must precede any wire commands.
% \push is useful for forcing columns apart.
% NOTE: It might be useful to know that a gate is about 1.3 times the height of its contents. I.e. \gate{M} is 1.3em tall.
% WARNING: \push must appear before any wire commands and may not appear in an entry with a gate or label.
\newcommand{\gategroup}[6]{\POS"#1,#2"."#3,#2"."#1,#4"."#3,#4"!C*+<#5>\frm{#6}}
% Constructs a box or bracket enclosing the square block spanning rows #1-#3 and columns=#2-#4.
% The block is given a margin #5/2, so #5 should be a valid length.
% #6 can take the following arguments -- or . or _\} or ^\} or \{ or \} or _) or ^) or ( or ) where the first two options yield dashed and
% dotted boxes respectively, and the last eight options yield bottom, top, left, and right braces of the curly or normal variety. See the Xy-pic reference manual for more options.
% \gategroup can appear at the end of any gate entry, but it's good form to pick either the last entry or one of the corner gates.
% BUG: \gategroup uses the four corner gates to determine the size of the bounding box. Other gates may stick out of that box. See \prop.

\newcommand{\rstick}[1]{*!L!<-.5em,0em>=<0em>{#1}}
% Centers the left side of #1 in the cell. Intended for lining up wire labels. Note that non-gates have default size zero.
\newcommand{\lstick}[1]{*!R!<.5em,0em>=<0em>{#1}}
% Centers the right side of #1 in the cell. Intended for lining up wire labels. Note that non-gates have default size zero.
\newcommand{\ustick}[1]{*!D!<0em,-.5em>=<0em>{#1}}
% Centers the bottom of #1 in the cell. Intended for lining up wire labels. Note that non-gates have default size zero.
\newcommand{\dstick}[1]{*!U!<0em,.5em>=<0em>{#1}}
% Centers the top of #1 in the cell. Intended for lining up wire labels. Note that non-gates have default size zero.
\newcommand{\Qcircuit}{\xymatrix @*=<0em>}
% Defines \Qcircuit as an \xymatrix with entries of default size 0em.
\newcommand{\link}[2]{\ar @{-} [#1,#2]}
% Draws a wire or connecting line to the element #1 rows down and #2 columns forward.
\newcommand{\pureghost}[1]{*+<1em,.9em>{\hphantom{#1}}}
% Same as \ghost except it omits the wire leading to the left.
30 changes: 30 additions & 0 deletions QcircuitDemo.tex
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% Qcircuit demonstration graphic
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\documentclass{amsart}

\usepackage[matrix,frame,arrow]{xypic}
\input{Qcircuit}

\vfuzz2pt % Don't report over-full v-boxes if over-edge is small

%%% ----------------------------------------------------------------------
\begin{document}
\[
\Qcircuit @C=1.0em @R=.7em {
& \gate{H} & \ctrlo{3} & \qw & \qw & \qw & \ctrl{5} & \qw & \gate{H} & \multigate{2}{U^\dag} & \qw\\
\lstick{\begin{array}{r}\alpha\ket{000}\ \ \ \\+\beta\ket{111}\end{array}}
& \gate{H} & \qw & \qswap \qwx[2] & \ctrl{3} & \qw & \qw & \qw & \gate{H} & \ghost{U^\dag} \qw & \qw\\
& \gate{H} & \qw & \qw & \qw & \ctrl{2} & \qw & \ctrl{3} & \gate{H} & \ghost{U^\dag} \qw & \qw\\
& \lstick{\ket{0}} & \targ & \qswap \qw & \qw & \qw & \qw & \qw & \qw & \measure{answer} \cwx\\
& \lstick{\ket{1}} & \qw & \qw & \control \qw & \targ & \qw & \qw & \qw & \meter\\
& \lstick{\ket{0}} & \qw & \qw & \qw \gategroup{6}{3}{6}{5}{1.0em}{_\}} & \qw & \targ & \gate{Y} & \qw & \measuretab{M_{abc}} \gategroup{1}{9}{6}{10}{1em}{--} & \control \cw \cwx[3] \\
& & & & & & \vdots \\
\\
& \qw & \qw & \qw & \qw & \qw & \qw & \qw & \qw & \qw & \multigate{2}{\mathcal{F}} & \qw\\
& \qw & \qw & \qw & {\backslash} \qw & \qw & \qw & \qw & \qw & \qw & \ghost{\mathcal{F}} \qw & \qw\\
& \qw & \qw & \qw & \qw & \qw & \qw & \qw & \qw & \qw & \ghost{\mathcal{F}} \qw & \qw
}
\]
\end{document}
% ------------------------------------------------------------------------
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