The Birkhoff theorem for unitary matrices of arbitrary dimensions
Mathematical Physics
2016-11-17 v1 math.MP
Quantum Physics
Abstract
It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prime. We prove a generalization of the Birkhoff theorem for unitary matrices with equal line sums for arbitrary dimension.
Cite
@article{arxiv.1606.08642,
title = {The Birkhoff theorem for unitary matrices of arbitrary dimensions},
author = {Stijn De Baerdemacker and Alexis De Vos and Lin Chen and Li Yu},
journal= {arXiv preprint arXiv:1606.08642},
year = {2016}
}
Comments
This manuscript presents a proof for the general unitary birkhoff theorem, conjectured in arXiv:1509.08626