The Birkhoff theorem for unitary matrices of prime dimension

Published 29 Sep 2015 in math-ph, math.MP, and quant-ph | (1509.08626v1)

Abstract: 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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