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\documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{physics}
\usepackage{yquant}
\begin{document}
\section{Example}
\begin{tikzpicture}
\begin{yquant}[operator/separation=5mm]
qubit {$A$} A;
qubit {$B$} B;
qubit {$C$} C;
zz (A, B);
[operator/separation=-5mm]
cnot C | B;
\end{yquant}
\end{tikzpicture}
\section{NOT}
\begin{tikzpicture}
\begin{yquant}[operator/separation=5mm]
qubit {$A$} A;
qubit {$1$} B;
qubit {$1$} C;
zz (A, B);
[operator/separation=-5mm]
cnot C | B;
%[value=$\mathrm{NOT}(A) \protect{=} \neg A$]
[value=$\mathrm{NOT}(A)$]
output C;
\end{yquant}
\end{tikzpicture}
\section{AND}
\begin{tikzpicture}
\begin{yquant}[operator/separation=5mm]
qubit {$A$} A;
qubit {$B$} B;
qubit {$0$} C;
zz (A, B);
[operator/separation=-5mm]
cnot C | B;
%[value=$\mathrm{AND}(A\protect{,} B) \protect{=} A \land B$]
[value=$\mathrm{AND}(A\protect{,} B)$]
output C;
\end{yquant}
\end{tikzpicture}
\section{NAND}
\begin{tikzpicture}
\begin{yquant}[operator/separation=5mm]
qubit {$A$} A;
qubit {$B$} B;
qubit {$1$} C;
zz (A, B);
[operator/separation=-5mm]
cnot C | B;
%[value=$\mathrm{NAND}(A\protect{,} B) \protect{=} \neg (A \land B)$]
[value=$\mathrm{NAND}(A\protect{,} B)$]
output C;
\end{yquant}
\end{tikzpicture}
\section{XOR}
\begin{tikzpicture}
\begin{yquant}[operator/separation=5mm]
qubit {$A$} A;
qubit {$1$} B;
qubit {$B$} C;
zz (A, B);
[operator/separation=-5mm]
cnot C | B;
%[value=$\mathrm{XOR}(A\protect{,} B) \protect{=} A \oplus B$]
[value=$\mathrm{XOR}(A\protect{,} B)$]
output C;
\end{yquant}
\end{tikzpicture}
\section{OR}
\begin{tikzpicture}
\begin{yquant}[operator/separation=5mm]
qubit {$A$} A;
qubit {$1$} I1;
qubit {$1$} I2;
qubit {$B$} B;
qubit {$1$} I3;
qubit {$1$} I4;
qubit {$1$} I5;
% NOT A
zz (A, I1);
[operator/separation=-5mm]
cnot I2 | I1;
discard A;
discard I1;
% NOT B
zz (B, I3);
[operator/separation=-5mm]
cnot I4 | I3;
discard B;
discard I3;
% NA AND NB
zz (I2, I4);
[operator/separation=-5mm]
cnot I5 | I4;
[value=$\mathrm{NOT}(A)$]
output I2;
%discard I2;
[value=$\mathrm{NOT}(B)$]
output I4;
%discard I4;
%[value=$\mathrm{OR}(A\protect{,} B) \protect{=} A \lor B$]
[value=$\mathrm{OR}(A\protect{,} B)$]
output I5;
\end{yquant}
\end{tikzpicture}
\subsection{Spacer}
\begin{tikzpicture}
\begin{yquant}[operator/separation=5mm]
qubit {$A$} A;
qubit {$1$} I1;
qubit {$1$} I0;
qubit {$1$} I2;
qubit {$B$} B;
% NOT A
zz (I0, A);
[operator/separation=-5mm]
cnot I1 | A;
[value=$A$]
output A;
% NOT B
zz (I0, B);
[operator/separation=-5mm]
cnot I2 | B;
[value=$B$]
output B;
% NA AND NB
zz (I1, I2);
[operator/separation=-5mm]
cnot I0 | I1;
[value=$\mathrm{NOT}(A)$]
output I1;
%discard I2;
[value=$\mathrm{NOT}(B)$]
output I2;
%discard I4;
%[value=$\mathrm{OR}(A\protect{,} B) \protect{=} A \lor B$]
[value=$\mathrm{OR}(A\protect{,} B)$]
output I0;
\end{yquant}
\end{tikzpicture}
\end{document}
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