have focused on a three-mode squeezed state that starts with a diagonal matrix $\mathrm{diag}(\sigma_{min},\sigma_{max},\sigma_{min})$ and performs two identical rotations around the X and Z axes, with angles $\theta_x=\theta_y=\theta$ $$\begin{aligned}
  &\Sigma = O_x(\theta_x)O_z(\theta_y)
    \left(
    \begin{array}{cc}
      \sigma_{max} & 0 \\
      0 & \sigma_{min}
    \end{array}
          \right)
          O_z(\theta_z)^TO_x(\theta_x),\;
          \mbox{with}\label{eq:covariance3d}\\
  &O_x =\left(
    \begin{array}{ccc}
      1 & 0 & 0 \\
      0 &  \cos(\theta) & \sin(\theta) \\ 0 & -\sin(\theta) & \cos(\theta)
    \end{array}
    \right),\,O_z =\left(
    \begin{array}{ccc}
      \cos(\theta) & \sin(\theta) & 0 \\ -\sin(\theta) & \cos(\theta) & 0 \\
      0 & 0 & 1
    \end{array}
              \right)
              .\nonumber\end{aligned}$$ We show results for a large, exact simulation with $Nm=21$ qubits, which amounts to $256^3$ points and 128 Mb of data, together with an MPS that is directly built with $33$ qubits, a sampling of $2048^3$ points. As in the two-dimensional case, the combination of squeezing and rotation deforms the state, which as shown in Fig. \[fig:entropies3d\]b becomes a titled rugby ball. Once more, the unrotated state remains weakly entangled. It is a product of three one-dimensional probabilities, and the entanglement never exceeds one 1 e-bit \[cf. Fig. \[fig:entropies3d\]a (blue, solid)\]. The squeezing and rotation leads to a divergence of the maximum entanglement, but this divergence is once more cured by 