The minimum entropy output of a quantum channel is locally additive
Quantum Physics
2012-10-03 v4 Mathematical Physics
math.MP
Abstract
We show that the minimum von-Neumann entropy output of a quantum channel is locally additive. Hasting's counterexample for the additivity conjecture, makes this result quite surprising. In particular, it indicates that the non-additivity of the minimum entropy output is a global effect of quantum channels.
Keywords
Cite
@article{arxiv.1105.6122,
title = {The minimum entropy output of a quantum channel is locally additive},
author = {Gilad Gour and Shmuel Friedland},
journal= {arXiv preprint arXiv:1105.6122},
year = {2012}
}
Comments
Shorter Version, further simplifications of proofs