\documentclass[preview,convert={indir={aux/}, outdir={aux/}, outputdir={aux/}},border=40px]{standalone}
\usepackage{quantikz}
\begin{document}
\begin{quantikz}
\lstick[2]{$\ket{\varphi}$} & \gate{X} & \rstick[2]{$\ket{\varphi'}$}\\
        &    \qw{} &
\end{quantikz}
\hspace{1cm}
\begin{tabular}{c | c}
$\ket{\varphi}$ & $\ket{\varphi'}$\\
\hline
$\ket{00}$ & $\ket{?}$\\
$\ket{01}$ & $\ket{?}$\\
$\ket{10}$ & $\ket{?}$\\
$\ket{11}$ & $\ket{?}$\\
\end{tabular}
\end{document}