\documentclass[preview, border=40px]{standalone}
\usepackage{../quantumcubemodel}
\begin{document}
\begin{qcmx}
    \node at (5, 3, 0) {\Huge \textbf{X-Axis}};
    \def\qcmxOrientationQ{x} % this is the default
    \qcmxO{1}
    \qcmxRenderQ

    \node at (15, 7, 0) {\Huge \textbf{Y-Axis}};
    \def\qcmxOffsetX{15} % <--- this moves the Y-Axis qubit to the right
    \def\qcmxOffsetY{-5} % and a bit down, relative to the origin (0, 0, 0)

    \def\qcmxOrientationQ{y} % <--- this sets the orientation to the y axis
    \qcmxRenderQ

    \node at (23,4, 0) {\Huge \textbf{Z-Axis}};
    \def\qcmxOffsetX{20}
    \def\qcmxOffsetY{-3}

    \def\qcmxOrientationQ{z}
    \qcmxRenderQ
\end{qcmx}
\end{document}