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\begin{equation*}
  Q_z = \begin{bmatrix}
    1 & 0 & 0 & 0 & 0 & 0 \\
    0 & 1 & 0 & 0 & 0 & 0 \\
    0 & 0 & 1 & 0 & 0 & 0 \\
    0 & 0 & 0 & 1 & 0 & 0 \\
    0 & 0 & 0 & 0 & 1 & 0 \\
    0 & 0 & 0 & 0 & 0 & 1 
  \end{bmatrix}, \qquad
  Q_v = \begin{bmatrix}1 & 0 \\ 0 & 1 \end{bmatrix}.
\end{equation*}
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