A mapping from the unitary to doubly stochastic matrices and symbols on a finite set
Quantum Algebra
2009-11-13 v1
Abstract
We prove that the mapping from the unitary to the doubly stochastic matrices that maps a unitary matrix (u_{kl}) to the doubly stochastic matrix (|u_{kl}|^2) is a submersion for almost all unitary matrices. The proof uses the framework of operator symbols on a finite set. We give detailed proofs of the results announced in our earlier preprint.
Cite
@article{arxiv.0806.2357,
title = {A mapping from the unitary to doubly stochastic matrices and symbols on a finite set},
author = {Alexander V. Karabegov},
journal= {arXiv preprint arXiv:0806.2357},
year = {2009}
}
Comments
13 pages