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math-ph2020★ 2 cited
The decomposition of an arbitrary unitary matrix into signed permutation matrices
Alexis De Vos, Stijn De Baerdemacker
Birkhoff's theorem tells that any doubly stochastic matrix can be decomposed as a weighted sum of permutation matrices. A similar theorem reveals that any unitary matrix can be dec…
math-ph2018
The Birkhoff theorem for unitary matrices of prime-power dimension
Alexis De Vos, Stijn De Baerdemacker
The unitary Birkhoff theorem states that any unitary matrix with all row sums and all column sums equal unity can be decomposed as a weighted sum of permutation matrices, such that…