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Numerical shadow

Example of a product numericalshadow restricted to real states

of matrix

\[\begin{pmatrix} 1&1&1&1\\ 0&i&1&1\\ 0&0&-1&1\\ 0&0&0&-\ii \end{pmatrix}\]

is forming an image of $\mathbb{R}P^1 \times \mathbb{R}P^1$.

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