Haagerup's inequality and additivity violation of the Minimum Output Entropy
Operator Algebras
2019-02-27 v1 Mathematical Physics
math.MP
Abstract
We give a simple and conceptual proof of the fact that random unitary channels yield violation of the Minimum Output Entropy additivity. The proof relies on strong convergence of random unitary matrices and Haagerup's inequality.
Keywords
Cite
@article{arxiv.1603.00577,
title = {Haagerup's inequality and additivity violation of the Minimum Output Entropy},
author = {Benoit Collins},
journal= {arXiv preprint arXiv:1603.00577},
year = {2019}
}
Comments
7 pages, no figure