Comments on Hastings' Additivity Counterexamples
Quantum Physics
2014-11-27 v1
Abstract
Hastings recently provided a proof of the existence of channels which violate the additivity conjecture for minimal output entropy. In this paper we present an expanded version of Hastings' proof. In addition to a careful elucidation of the details of the proof, we also present bounds for the minimal dimensions needed to obtain a counterexample.
Cite
@article{arxiv.0905.3697,
title = {Comments on Hastings' Additivity Counterexamples},
author = {Motohisa Fukuda and Christopher King and David Moser},
journal= {arXiv preprint arXiv:0905.3697},
year = {2014}
}
Comments
38 pages