<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{quantumcubemodel}[2025/05/20 v0.1.0 Quantum Cube Model Visualization]

\RequirePackage{braket}
\RequirePackage{xcolor}
\RequirePackage{tikz}
\usetikzlibrary{3d, calc, arrows.meta}

\makeatletter
% Helper macro to split one argument "a:b" into \valA and \valB
\newcommand{\splitArg}[1]{%
  \def\valA{}%
  \def\valB{}%
  \expandafter\split@helper#1\relax
}
\def\split@helper#1:#2\relax{%
  \def\valA{#1}%
  \def\valB{#2}%
}
\makeatother

\newcommand{\qcmWireframe}[1]{
  \ifnum#1=1
    \draw[gray] (0, 0, 0) -- (1, 0, 0);
  \else
  \ifnum#1=2
    \draw[gray] (0, 0, 0) -- (1, 0, 0);
    \draw[gray] (1, 0, 0) -- (1, 1, 0);
    \draw[gray] (1, 1, 0) -- (0, 1, 0);
    \draw[gray] (0, 1, 0) -- (0, 0, 0);
  \else
  \ifnum#1=3
    \draw[gray] (0, 0, 0) -- (1, 0, 0);
    \draw[gray] (1, 0, 0) -- (1, 1, 0);
    \draw[gray] (1, 1, 0) -- (0, 1, 0);
    \draw[gray] (0, 1, 0) -- (0, 0, 0);

    \draw[gray] (0, 0, -1) -- (1, 0, -1);
    \draw[gray] (1, 0, -1) -- (1, 1, -1);
    \draw[gray] (1, 1, -1) -- (0, 1, -1);
    \draw[gray] (0, 1, -1) -- (0, 0, -1);

    \draw[gray] (0, 0, 0) -- (0, 0, -1);
    \draw[gray] (1, 0, 0) -- (1, 0, -1);
    \draw[gray] (1, 1, 0) -- (1, 1, -1);
    \draw[gray] (0, 1, 0) -- (0, 1, -1);
  \else
    \PackageError{quantumcube}{QCM Wireframe not implemented for #1-Qubits}{Quantum Cube Model is only implemented up to 3 Qubits}
  \fi
  \fi
  \fi
}

\newcommand{\qcmTransition}[1]{
  \begin{tikzpicture}[scale=3]
    \qcmWireframe{#1}
  \end{tikzpicture}
}

\def\qcmScale{3}

% Define a macro for a 1-qubit quantum cube
\newcommand{\qcmQ}[2]{%
  \splitArg{#1}
  \let\firstA\valA
  \let\firstB\valB
  \splitArg{#2}
  \let\secondA\valA
  \let\secondB\valB

  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 0.3, 0);
    \qcmWireframe{1}

    % |0&gt;
    \begin{scope}[canvas is xy plane at z=0, rotate around={\firstB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\firstA -0.15, 0.3*\firstA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\firstA -0.15, -0.15);
    \end{scope}
    \node at (0.2, -0.2, 0) {\tiny{$\ket{0}$}};

    % |1&gt;
    \begin{scope}[canvas is xy plane at z=0, shift={(1,0)}, rotate around={\secondB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\secondA -0.15, 0.3*\secondA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\secondA -0.15, -0.15);
    \end{scope}
    \node at (1.2, -0.2, 0) {\tiny{$\ket{1}$}};
  \end{tikzpicture}
}

% Define a macro for a 2-qubit quantum cube
\newcommand{\qcmQQ}[4]{%
  \splitArg{#1}
  \let\firstA\valA
  \let\firstB\valB
  \splitArg{#2}
  \let\secondA\valA
  \let\secondB\valB
  \splitArg{#3}
  \let\thirdA\valA
  \let\thirdB\valB
  \splitArg{#4}
  \let\fourthA\valA
  \let\fourthB\valB

  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{2}

    % |00&gt;
    \begin{scope}[canvas is xy plane at z=0, rotate around={\firstB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\firstA -0.15, 0.3*\firstA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\firstA -0.15, -0.15);
    \end{scope}
    \node at (0.2, -0.2, 0) {\tiny{$\ket{00}$}};

    % |01&gt;
    \begin{scope}[canvas is xy plane at z=0, shift={(0,1)}, rotate around={\secondB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\secondA -0.15, 0.3*\secondA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\secondA -0.15, -0.15);
    \end{scope}
    \node at (0.2, 0.8, 0) {\tiny{$\ket{01}$}};

    % |10&gt;
    \begin{scope}[canvas is xy plane at z=0, shift={(1,0)}, rotate around={\thirdB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\thirdA -0.15, 0.3*\thirdA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\thirdA -0.15, -0.15);
    \end{scope}
    \node at (1.2, -0.2, 0) {\tiny{$\ket{10}$}};

    % |11&gt;
    \begin{scope}[canvas is xy plane at z=0, shift={(1,1)}, rotate around={\fourthB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\fourthA -0.15, 0.3*\fourthA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\fourthA -0.15, -0.15);
    \end{scope}
    \node at (1.2, 0.8, 0) {\tiny{$\ket{11}$}};
  \end{tikzpicture}
}

% Define a macro for a 3-qubit quantum cube
\newcommand{\qcmQQQ}[8]{%
  \splitArg{#1}
  \let\firstA\valA
  \let\firstB\valB
  \splitArg{#2}
  \let\secondA\valA
  \let\secondB\valB
  \splitArg{#3}
  \let\thirdA\valA
  \let\thirdB\valB
  \splitArg{#4}
  \let\fourthA\valA
  \let\fourthB\valB
  \splitArg{#5}
  \let\fifthA\valA
  \let\fifthB\valB
  \splitArg{#6}
  \let\sixthA\valA
  \let\sixthB\valB
  \splitArg{#7}
  \let\seventhA\valA
  \let\seventhB\valB
  \splitArg{#8}
  \let\eighthA\valA
  \let\eighthB\valB

  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.3,-0.3, 0) rectangle (1.44, 1.3, -1);
    \qcmWireframe{3}

    % |000&gt;
    \begin{scope}[canvas is xy plane at z=0, rotate around={\firstB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\firstA -0.15, 0.3*\firstA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\firstA -0.15, -0.15);
    \end{scope}
    \node at (0.3, -0.2, 0) {\tiny{$\ket{000}$}};

    % |010&gt;
    \begin{scope}[canvas is xy plane at z=0, shift={(0,1)}, rotate around={\secondB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\secondA -0.15, 0.3*\secondA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\secondA -0.15, -0.15);
    \end{scope}
    \node at (0.3, 0.8, 0) {\tiny{$\ket{010}$}};

    % |100&gt;
    \begin{scope}[canvas is xy plane at z=0, shift={(1,0)}, rotate around={\thirdB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\thirdA -0.15, 0.3*\thirdA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\thirdA -0.15, -0.15);
    \end{scope}
    \node at (1.3, -0.2, 0) {\tiny{$\ket{100}$}};

    % |110&gt;
    \begin{scope}[canvas is xy plane at z=0, shift={(1,1)}, rotate around={\fourthB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\fourthA -0.15, 0.3*\fourthA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\fourthA -0.15, -0.15);
    \end{scope}
    \node at (1.3, 0.8, 0) {\tiny{$\ket{110}$}};

    % |001&gt;
    \begin{scope}[canvas is xy plane at z=-1, rotate around={\fifthB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\fifthA -0.15, 0.3*\fifthA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\fifthA -0.15, -0.15);
    \end{scope}
    \node at (0.3, -0.2, -1) {\tiny{$\ket{001}$}};

    % |011&gt;
    \begin{scope}[canvas is xy plane at z=-1, shift={(0,1)}, rotate around={\sixthB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\sixthA -0.15, 0.3*\sixthA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\sixthA -0.15, -0.15);
    \end{scope}
    \node at (0.3, 0.8, -1) {\tiny{$\ket{011}$}};

    % |101&gt;
    \begin{scope}[canvas is xy plane at z=-1, shift={(1,0)}, rotate around={\seventhB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\seventhA -0.15, 0.3*\seventhA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\seventhA -0.15, -0.15);
    \end{scope}
    \node at (1.3, -0.2, -1) {\tiny{$\ket{101}$}};

    % |111&gt;
    \begin{scope}[canvas is xy plane at z=-1, shift={(1,1)}, rotate around={\eighthB:(0,0,0)}]
      \draw[fill=gray!30] (-0.15,-0.15) rectangle (0.15, 0.15);
      \draw[fill=teal] (-0.15,-0.15) rectangle (0.3*\eighthA -0.15, 0.3*\eighthA -0.15);
      \draw[black, -&gt;, thick, &gt;=Stealth] (-0.151,-0.15) -- (0.3*\eighthA -0.15, -0.15);
    \end{scope}
    \node at (1.3, 0.8, -1) {\tiny{$\ket{111}$}};
  \end{tikzpicture}
}

%region ------- Transition on 1 Qubit
\newcommand{\qcmTransitionHadamardQ}[0]{%
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 0.3, 0);
    \qcmWireframe{1}
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,0,0) -- (1,0,0);
  \end{tikzpicture}
}

\newcommand{\qcmTransitionPauliXQ}[0]{%
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 0.3, 0);
    \qcmWireframe{1}
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,0) -- (1,0,0);
  \end{tikzpicture}
}

\newcommand{\qcmTransitionPauliZQ}[0]{%
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 0.3, 0);
    \qcmWireframe{1}
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,0,0) -- (1,0,0);
  \end{tikzpicture}
}

%endregion -----
%region ------- Transition on 2 Qubits

\newcommand{\qcmTransitionHadamardQQ}[1]{%
  \ifnum#1=1
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{2}
      \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,0,0) -- (1,0,0);
      \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,1,0) -- (1,1,0);
    \end{tikzpicture}
  \else
  \ifnum#1=2
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{2}
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,0,0) -- (0,1,0);
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (1,0,0) -- (1,1,0);
  \end{tikzpicture}
  \else
  \PackageError{quantumcube}{#1 is not a valid Qubit in a 2 Qubit system}{#1 is not a valid Qubit in a 2 Qubit system}
  \fi
  \fi
}

\newcommand{\qcmTransitionPauliXQQ}[1]{%
  \ifnum#1=1
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{2}
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,0) -- (1,0,0);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,0) -- (1,1,0);
    \end{tikzpicture}
  \else
  \ifnum#1=2
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{2}
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,0) -- (0,1,0);
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,0) -- (1,1,0);
  \end{tikzpicture}
  \else
  \PackageError{quantumcube}{#1 is not a valid Qubit in a 2 Qubit system}{#1 is not a valid Qubit in a 2 Qubit system}
  \fi
  \fi
}

\newcommand{\qcmTransitionPauliZQQ}[1]{%
  \ifnum#1=1
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{2}
      \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,0,0) -- (1,0,0);
      \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,1,0) -- (1,1,0);
    \end{tikzpicture}
  \else
  \ifnum#1=2
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{2}
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,0,0) -- (0,1,0);
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (1,0,0) -- (1,1,0);
  \end{tikzpicture}
  \else
  \PackageError{quantumcube}{#1 is not a valid Qubit in a 2 Qubit system}{#1 is not a valid Qubit in a 2 Qubit system}
  \fi
  \fi
}

\newcommand{\qcmTransitionCNOTQQ}[2]{%
  \ifnum#1=1
    \ifnum#2=2
      \begin{tikzpicture}[scale=\qcmScale]
        \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
        \qcmWireframe{2}
        \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,0) -- (1,1,0);
      \end{tikzpicture}
    \else
      \PackageError{quantumcube}{#1 or #2 is not a valid Qubit in a 2 Qubit system}{#1 is not a valid Qubit in a 2 Qubit system}
    \fi
  \else
  \ifnum#1=2
    \ifnum#2=1
      \begin{tikzpicture}[scale=\qcmScale]
        \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
        \qcmWireframe{2}
        \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,0) -- (1,1,0);
      \end{tikzpicture}
    \else
      \PackageError{quantumcube}{#1 or #2 is not a valid Qubit in a 2 Qubit system}{#1 is not a valid Qubit in a 2 Qubit system}
    \fi
  \else
  \PackageError{quantumcube}{#1 or #2 is not a valid Qubit in a 2 Qubit system}{#1 is not a valid Qubit in a 2 Qubit system}
  \fi
  \fi
}

%endregion ---------
%region ------- Transition on 3 Qubits

\newcommand{\qcmTransitionHadamardQQQ}[1]{%
  \ifnum#1=1
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,0,0) -- (1,0,0);
      \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,1,0) -- (1,1,0);
      \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,0,-1) -- (1,0,-1);
      \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,1,-1) -- (1,1,-1);
    \end{tikzpicture}
  \else
  \ifnum#1=2
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{3}
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,0,0) -- (0,1,0);
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (1,0,0) -- (1,1,0);
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,0,-1) -- (0,1,-1);
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (1,0,-1) -- (1,1,-1);
  \end{tikzpicture}
  \else
  \ifnum#1=3
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{3}
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,0,0) -- (0,0,-1);
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (0,1,0) -- (0,1,-1);
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (1,0,0) -- (1,0,-1);
    \draw[black, thick, {Circle}-{Circle}, &gt;=Stealth] (1,1,0) -- (1,1,-1);
  \end{tikzpicture}
  \else
  \PackageError{quantumcube}{#1 is not a valid Qubit in a 3 Qubit system}{#1 is not a valid Qubit in a 3 Qubit system}
  \fi
  \fi
  \fi
}

\newcommand{\qcmTransitionPauliXQQQ}[1]{%
  \ifnum#1=1
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,0) -- (1,0,0);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,0) -- (1,1,0);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,-1) -- (1,0,-1);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,-1) -- (1,1,-1);
    \end{tikzpicture}
  \else
  \ifnum#1=2
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{3}
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,0) -- (0,1,0);
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,0) -- (1,1,0);
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,-1) -- (0,1,-1);
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,-1) -- (1,1,-1);
  \end{tikzpicture}
  \else
  \ifnum#1=3
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{3}
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,0) -- (0,0,-1);
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,0) -- (0,1,-1);
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,0) -- (1,0,-1);
    \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,1,0) -- (1,1,-1);
  \end{tikzpicture}
  \else
  \PackageError{quantumcube}{#1 is not a valid Qubit in a 3 Qubit system}{#1 is not a valid Qubit in a 3 Qubit system}
  \fi
  \fi
  \fi
}

\newcommand{\qcmTransitionPauliZQQQ}[1]{%
  \ifnum#1=1
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,0,0) -- (1,0,0);
      \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,1,0) -- (1,1,0);
      \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,0,-1) -- (1,0,-1);
      \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,1,-1) -- (1,1,-1);
    \end{tikzpicture}
  \else
  \ifnum#1=2
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{3}
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,0,0) -- (0,1,0);
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (1,0,0) -- (1,1,0);
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,0,-1) -- (0,1,-1);
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (1,0,-1) -- (1,1,-1);
  \end{tikzpicture}
  \else
  \ifnum#1=3
  \begin{tikzpicture}[scale=\qcmScale]
    \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
    \qcmWireframe{3}
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,0,0) -- (0,0,-1);
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (0,1,0) -- (0,1,-1);
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (1,0,0) -- (1,0,-1);
    \draw[black, thick, -{Circle[open]}, &gt;=Stealth] (1,1,0) -- (1,1,-1);
  \end{tikzpicture}
  \else
  \PackageError{quantumcube}{#1 is not a valid Qubit in a 3 Qubit system}{#1 is not a valid Qubit in a 3 Qubit system}
  \fi
  \fi
  \fi
}

\newcommand{\qcmTransitionCNOTQQQ}[2]{%
  \ifnum#1=1
    \ifnum#2=2
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,0) -- (1,1,0);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,-1) -- (1,1,-1);
    \end{tikzpicture}
    \else
    \ifnum#2=3
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,0) -- (1,0,-1);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,1,0) -- (1,1,-1);
    \end{tikzpicture}
    \else
    \PackageError{quantumcube}{#1 #2 is not a valid Qubit in a 3 Qubit system}{#1 #2 is not a valid Qubit in a 3 Qubit system}
    \fi
    \fi
  \else
  \ifnum#1=2
    \ifnum#2=1
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,0) -- (1,1,0);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,-1) -- (1,1,-1);
    \end{tikzpicture}
    \else
    \ifnum#2=3
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,0) -- (0,1,-1);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,1,0) -- (1,1,-1);
    \end{tikzpicture}
    \else
    \PackageError{quantumcube}{#1 #2 is not a valid Qubit in a 3 Qubit system}{#1 #2 is not a valid Qubit in a 3 Qubit system}
    \fi
    \fi
  \else
  \ifnum#1=3
    \ifnum#2=1
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,-1) -- (1,0,-1);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,-1) -- (1,1,-1);
    \end{tikzpicture}
    \else
    \ifnum#2=2
    \begin{tikzpicture}[scale=\qcmScale]
      \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
      \qcmWireframe{3}
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,0,-1) -- (0,1,-1);
      \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,-1) -- (1,1,-1);
    \end{tikzpicture}
    \else
    \PackageError{quantumcube}{#1 #2 is not a valid Qubit in a 3 Qubit system}{#1 #2 is not a valid Qubit in a 3 Qubit system}
    \fi
    \fi
  \else
  \PackageError{quantumcube}{#1 #2 is not a valid Qubit in a 3 Qubit system}{#1 #2 is not a valid Qubit in a 3 Qubit system}
  \fi
  \fi
  \fi
}

\newcommand{\qcmTransitionToffolieQQQ}[3]{%
  \ifnum#1=1
    \ifnum#2=2
      \ifnum#3=3
      \begin{tikzpicture}[scale=\qcmScale]
        \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
        \qcmWireframe{3}
        \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,1,0) -- (1,1,-1);
      \end{tikzpicture}
      \else
      \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
      \fi
    \else
    \ifnum#2=3
      \ifnum#3=2
      \begin{tikzpicture}[scale=\qcmScale]
        \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
        \qcmWireframe{3}
        \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,-1) -- (1,1,-1);
      \end{tikzpicture}
      \else
      \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
      \fi
    \else
    \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
    \fi
    \fi
  \else
  \ifnum#1=2
    \ifnum#2=1
      \ifnum#3=3
      \begin{tikzpicture}[scale=\qcmScale]
        \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
        \qcmWireframe{3}
        \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,1,0) -- (1,1,-1);
      \end{tikzpicture}
      \else
      \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
      \fi
    \else
    \ifnum#2=3
      \ifnum#3=1
      \begin{tikzpicture}[scale=\qcmScale]
        \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
        \qcmWireframe{3}
        \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,-1) -- (1,1,-1);
      \end{tikzpicture}
      \else
      \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
      \fi
    \else
    \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
    \fi
    \fi
  \else
  \ifnum#1=3
    \ifnum#2=1
      \ifnum#3=2
      \begin{tikzpicture}[scale=\qcmScale]
        \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
        \qcmWireframe{3}
        \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (1,0,-1) -- (1,1,-1);
      \end{tikzpicture}
      \else
      \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
      \fi
    \else
    \ifnum#2=2
      \ifnum#3=1
      \begin{tikzpicture}[scale=\qcmScale]
        \draw[white] (-0.37,-0.3, 0) rectangle (1.37, 1.3, 0);
        \qcmWireframe{3}
        \draw[black, thick, &lt;-&gt;, &gt;=Stealth] (0,1,-1) -- (1,1,-1);
      \end{tikzpicture}
      \else
      \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
      \fi
    \else
    \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
    \fi
    \fi
  \else
  \PackageError{quantumcube}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}{#1 #2 #3 is not a valid Qubit in a 3 Qubit system}
  \fi
  \fi
  \fi
}

%endregion -----------</pre></body></html>