\documentclass[svg]{standalone}
\usepackage{quantikz}
\begin{document}
     \begin{quantikz}[column sep=0.3cm]
          \lstick{\ket{x_1}}       & \gate{H}     & \gate{R_2} &&\setwiretype{n} \dots &&  \setwiretype{q}  & \gate{R_{n-1}} & \gate{R_n}    &           &             &&\setwiretype{n} \dots &&  \setwiretype{q} &              &                  &              &              & \swap{4}     &              & \rstick{$\ket{0}+e^{2\pi i[0.x_{n}]}\ket{1}$}\\
          \lstick{\ket{x_2}}       &              & \ctrl{-1}  &&\setwiretype{n} \dots &&  \setwiretype{q}  &                &               & \gate{H}  & \gate{R_2}  &&\setwiretype{n} \dots &&  \setwiretype{q} &\gate{R_{n-1}}&                  &              &              &              & \swap{2}     & \rstick{$\ket{0}+e^{2\pi i[0.x_{n-1}x_{n}]}\ket{1}$} \\[-0.4 cm]
          \setwiretype{n}          & \vdots       & \vdots     &&                      &&                   &                &               &           & \ctrl{-1}   && \vdots               &&                  &              &                  &              &              &              &              & \vdots \\[-0.3 cm]  
          \lstick{\ket{x_{n-1}}}   &              &            &&                      &&                   & \ctrl{-3}      &               &           &             &&\setwiretype{n} \dots &&  \setwiretype{q} &              & \gate{H}         & \gate{R_2}   &              &              & \swap{-2}    & \rstick{$\ket{0}+e^{2\pi i[0.x_{2}\dots x_{n}]}\ket{1}$}\\
          \lstick{\ket{x_n}}       &              &            &&                      &&                   &                & \ctrl{-4}     &           &             &&\setwiretype{n} \dots &&  \setwiretype{q} & \ctrl{-3}    &                  & \ctrl{-1}     & \gate{H}    & \swap{-4}    &              & \rstick{$\ket{0}+e^{2\pi i[0.x_{1}\dots x_{n}]}\ket{1}$}\\
    \end{quantikz}
\end{document}