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\documentclass[11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{physics}
\usepackage{yquant}
\begin{document}
\section{Spacer}
\yquantdefinebox{dots}[inner sep=0pt]{$\vdots$}
\begin{tikzpicture}
\begin{yquant}[operator/separation=5mm, register/separation=0mm]
qubit {$\ket{0}_1$} a1;
qubit {$\ket{0}_2$} a2;
nobit adots;
qubit {$\ket{0}_{q\!}$} af;
nobit sep;
qubit {$\ket{0}_1$} b1;
qubit {$\ket{0}_2$} b2;
nobit bdots;
qubit {$\ket{0}_{q\!}$} bf;
h a1;
h a2;
dots adots;
h af;
dots bdots;
box {$U_f(a, N)$} (a1, a2, adots, af, sep, b1, b2, bdots, bf);
measure b1;
measure b2;
dots bdots;
measure bf;
barrier a1, a2, adots, af;
box {$\mathrm{QFT}_q$} (a1, a2, adots, af);
align a1, a2, adots, af, b1, b2, bdots, bf;
measure a1;
measure a2;
dots adots;
measure af;
\end{yquant}
\end{tikzpicture}
\end{document}
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