\documentclass[preview,convert={indir={aux/}, outdir={aux/}, outputdir={aux/}},border=40px]{standalone}
\usepackage{quantikz}
\begin{document}
\begin{quantikz}
\lstick{$\ket{\varphi}$} & \gate{H} & \rstick{$\ket{\varphi'}$}
\end{quantikz}\hspace{1cm}
\begin{tabular}{c | c}
$\ket{\varphi}$ & $\ket{\varphi'}$\\
\hline
$\ket{0}$ & $\ket{+}$\\
$\ket{1}$ & $\ket{-}$
\end{tabular}
\end{document}