The Birkhoff theorem for unitary matrices of prime dimension
classification
🧮 math-ph
math.MPquant-ph
keywords
matricestheorembirkhoffprimeunitaryconvexcornersdimension
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The Birkhoff's theorem states that any doubly stochastic matrix lies inside a convex polytope with the permutation matrices at the corners. It can be proven that a similar theorem holds for unitary matrices with equal line sums for prime dimensions.
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