\documentclass[border=2px]{standalone}

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

\begin{document}
\scalebox{1.0}{
\Qcircuit @C=1.0em @R=1.0em @!R { \\
	 	\nghost{{q4}_{0} :  } & \lstick{{q4}_{0} :  } & \multigate{3}{\mathrm{circuit\mbox{-}85}}_<<<{0} & \multigate{12}{\mathrm{QPE}}_<<<{6} & \qw & \multigate{12}{\mathrm{QPE\_dg}}_<<<{6} & \qw & \qw\\
	 	\nghost{{q4}_{1} :  } & \lstick{{q4}_{1} :  } & \ghost{\mathrm{circuit\mbox{-}85}}_<<<{1} & \ghost{\mathrm{QPE}}_<<<{7} & \qw & \ghost{\mathrm{QPE\_dg}}_<<<{7} & \qw & \qw\\
	 	\nghost{{q4}_{2} :  } & \lstick{{q4}_{2} :  } & \ghost{\mathrm{circuit\mbox{-}85}}_<<<{2} & \ghost{\mathrm{QPE}}_<<<{8} & \qw & \ghost{\mathrm{QPE\_dg}}_<<<{8} & \qw & \qw\\
	 	\nghost{{q4}_{3} :  } & \lstick{{q4}_{3} :  } & \ghost{\mathrm{circuit\mbox{-}85}}_<<<{3} & \ghost{\mathrm{QPE}}_<<<{9} & \qw & \ghost{\mathrm{QPE\_dg}}_<<<{9} & \qw & \qw\\
	 	\nghost{{q5}_{0} :  } & \lstick{{q5}_{0} :  } & \qw & \ghost{\mathrm{QPE}}_<<<{0} & \multigate{9}{\mathrm{1/x}}_<<<{5} & \ghost{\mathrm{QPE\_dg}}_<<<{0} & \qw & \qw\\
	 	\nghost{{q5}_{1} :  } & \lstick{{q5}_{1} :  } & \qw & \ghost{\mathrm{QPE}}_<<<{1} & \ghost{\mathrm{1/x}}_<<<{4} & \ghost{\mathrm{QPE\_dg}}_<<<{1} & \qw & \qw\\
	 	\nghost{{q5}_{2} :  } & \lstick{{q5}_{2} :  } & \qw & \ghost{\mathrm{QPE}}_<<<{2} & \ghost{\mathrm{1/x}}_<<<{3} & \ghost{\mathrm{QPE\_dg}}_<<<{2} & \qw & \qw\\
	 	\nghost{{q5}_{3} :  } & \lstick{{q5}_{3} :  } & \qw & \ghost{\mathrm{QPE}}_<<<{3} & \ghost{\mathrm{1/x}}_<<<{2} & \ghost{\mathrm{QPE\_dg}}_<<<{3} & \qw & \qw\\
	 	\nghost{{q5}_{4} :  } & \lstick{{q5}_{4} :  } & \qw & \ghost{\mathrm{QPE}}_<<<{4} & \ghost{\mathrm{1/x}}_<<<{1} & \ghost{\mathrm{QPE\_dg}}_<<<{4} & \qw & \qw\\
	 	\nghost{{q5}_{5} :  } & \lstick{{q5}_{5} :  } & \qw & \ghost{\mathrm{QPE}}_<<<{5} & \ghost{\mathrm{1/x}}_<<<{0} & \ghost{\mathrm{QPE\_dg}}_<<<{5} & \qw & \qw\\
	 	\nghost{{a1}_{0} :  } & \lstick{{a1}_{0} :  } & \qw & \ghost{\mathrm{QPE}}_<<<<{10} & \ghost{\mathrm{1/x}} & \ghost{\mathrm{QPE\_dg}}_<<<<{10} & \qw & \qw\\
	 	\nghost{{a1}_{1} :  } & \lstick{{a1}_{1} :  } & \qw & \ghost{\mathrm{QPE}}_<<<<{11} & \ghost{\mathrm{1/x}} & \ghost{\mathrm{QPE\_dg}}_<<<<{11} & \qw & \qw\\
	 	\nghost{{a1}_{2} :  } & \lstick{{a1}_{2} :  } & \qw & \ghost{\mathrm{QPE}}_<<<<{12} & \ghost{\mathrm{1/x}} & \ghost{\mathrm{QPE\_dg}}_<<<<{12} & \qw & \qw\\
	 	\nghost{{q6} :  } & \lstick{{q6} :  } & \qw & \qw & \ghost{\mathrm{1/x}}_<<<{6} & \qw & \qw & \qw\\
\\ }}
\end{document}
