\documentclass[11pt]{article}
\input{Qcircuit}
\thispagestyle{empty}
\begin{document}
\begin{align*}
 \Qcircuit @C=1em @R=.3em {
  & \multigate{4}{\ } & \multigate{4}{U} & \multigate{1}{\ } & \qw              & \multigate{1}{\ } & \qw\\
  & \ghost{\ }        & \ghost{U}        & \ghost{\ }        & \qw              & \ghost{\ }        & \qw\\
  & \ghost{\ }        & \ghost{U}        & \multigate{2}{\ } & \multigate{6}{W} & \multigate{6}{\ } & \qw\\
  & \ghost{\ }        & \ghost{U}        & \ghost{\ }        & \ghost{W}        & \ghost{\ }        & \qw\\
  & \ghost{\ }        & \ghost{U}        & \ghost{\ }        & \ghost{W}        & \ghost{\ }        & \qw\\
  & \multigate{3}{\ } & \qw              & \multigate{3}{\ } & \ghost{W}        & \ghost{\ }        & \qw\\
  & \ghost{\ }        & \qw              & \ghost{\ }        & \ghost{W}        & \ghost{\ }        & \qw\\
  & \ghost{\ }        & \qw              & \ghost{\ }        & \ghost{W}        & \ghost{\ }        & \qw\\
  & \ghost{\ }        & \qw              & \ghost{\ }        & \ghost{W}        & \ghost{\ }        & \qw \gategroup{1}{3}{9}{5}{.5em}{--}\\
 }
\end{align*}
\end{document}