The Birkhoff theorem for unitary matrices of prime dimension
Mathematical Physics
2016-06-16 v1 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1509.08626,
title = {The Birkhoff theorem for unitary matrices of prime dimension},
author = {Alexis De Vos and Stijn De Baerdemacker},
journal= {arXiv preprint arXiv:1509.08626},
year = {2016}
}