\documentclass[border=2px]{standalone}

\usepackage[braket, qm]{qcircuit}
\usepackage{graphicx}

\begin{document}
\scalebox{1.0}{
\Qcircuit @C=1.0em @R=1.0em @!R { \\
	 	\nghost{{q}_{0} :  } & \lstick{{q}_{0} :  } & \gate{|\psi\rangle\,(\mathrm{0,1})} & \multigate{1}{|\psi\rangle\,(\mathrm{0,1,0,0})}_<<<{0} & \qw & \qw\\
	 	\nghost{{q}_{1} :  } & \lstick{{q}_{1} :  } & \gate{\mathrm{\left|0\right\rangle}} & \ghost{|\psi\rangle\,(\mathrm{0,1,0,0})}_<<<{1} & \qw & \qw\\
\\ }}
\end{document}