Let $P$ be a unistochastic matrix, that is, there exists a unitary matrix $U$ such that $P_{ij}=|U_{ij}|^2$. What is the maximum and minimum value of $\mathrm{Tr}[P]$? I'm also interested in the existence of any other local minimum or maximum over the unistochastic matrices.
2026-03-26 03:11:07.1774494667
Maximum and minimum value of trace of unistochastic matrix
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