(1.,0.75) to   (-1,3);
\node[zxvertex=\zxwhite] at (0,0.75){};
\end{tz}
\end{calign}\\[-15pt]
\end{minipage}
\hspace{\bndr}
&
\begin{minipage}{\wtext}\center quantum \\ bijection \end{minipage}   \\
\hline \nonumber
\begin{minipage}{1.5cm}\center graph \\homom.\end{minipage}&
%%%%%%%%
\begin{minipage}{\wl\textwidth}
\vspace{0.2cm}
\hspace{0.01cm}function $+$
\vspace{-0.2cm}
\def\d{2}
\begin{calign}\nonumber
\begin{tz}[zx,yscale=0.8,xscale=-1]
\draw[string] (0,-0.5) to node[front,zxnode=\zxwhite,pos=0.5] {$f$} (0,5);\draw[string] (\d,-0.5) to node[front,zxnode=\zxwhite, pos=0.5] {$f$} (\d,5);
\draw[string] (0, 0.5) to (\d,0.5);
\node[zxvertex=\zxwhite] at (0,0.5){};
\node[zxvertex=\zxwhite] at (\d,0.5){};
\node[zxnode=\zxwhite] at (\d/2, 0.5 ) {$G$};
\end{tz}
~~=~~
\begin{tz}[zx,yscale=0.8,xscale=-1]
\draw[string] (0,-0.5) to node[front,zxnode=\zxwhite,pos=0.5] {$f$} (0,5);\draw[string] (\d,-0.5) to node[front,zxnode=\zxwhite, pos=0.5] {$f$} (\d,5);
\draw[string] (0, 0.5) to (\d,0.5);
\node[zxvertex=\zxwhite] at (0,0.5){};
\node[zxvertex=\zxwhite] at (\d,0.5){};
\node[zxnode=\zxwhite] at (\d/2, 0.5 ) {$G$};
\draw[string] (0, 4) to (\d,4);
\node[zxvertex=\zxwhite] at (0,4){};
\node[zxvertex=\zxwhite] at (\d,4){};
\node[zxnode=\zxwhite] at (\d/2, 4 ) {$H$};
\end{tz}
\end{calign}\\[-15pt]
\end{minipage}
\hspace{\bnd}
&
%%%%%%%%%%%%
\hspace{\bndm}
\begin{minipage}{\wr\textwidth}
\vspace{0.2cm}
\hspace{-0.36cm}quantum function $+$
\vspace{-0.2cm}
\def\d{2}
\begin{calign}\nonumber
\begin{tz}[zx,yscale=0.8,xscale=-1]
\draw[string] (0,-0.5) to node[front,zxnode=\zxwhite,pos=0.57] {$P$} (0,5);\draw[string] (\d,-0.5) to node[front,zxnode=\zxwhite, pos=0.43] {$P$} (\d,5);
\draw[string] (0, 0.5) to (\d,0.5);
\node[zxvertex=\zxwhite] at (0,0.5){};
\node[zxvertex=\zxwhite] at (\d,0.5){};
\node[zxnode=\zxwhite] at (\d/2, 0.5 ) {$G$};
\draw[string, arrow data={0.08}{>},arrow data={0.5}{>}, arrow data ={0.95}{>}] (3, -0.5)  to (3,0.5) to [out=up, in=down] (-1.,4) to (-1.,5);
\end{tz}
~=~
\begin{tz}[zx,yscale=0.8,xscale=-1]
\draw[string] (0,-0.5) to node[front,zxnode=\zxwhite,pos=0.57] {$P$} (0,5);\draw[string] (\d,-0.5) to node[front,zxnode=\zxwhite, pos=0.43] {$P$} (\d,5);
\draw[string] (0, 0.5) to (\d,0.5);
\node[zxvertex=\zxwhite] at (0,0.5){};
\node[zxvertex=\zxwhite] at (\d,0.5){};
\node[zxnode=\zxwhite] at (\d/2, 