A quantum channel with additive minimum output entropy
Quantum Physics
2007-05-23 v1
Abstract
We give a direct proof of the additivity of the minimum output entropy of a particular quantum channel which breaks the multiplicativity conjecture. This yields additivity of the classical capacity of this channel, a result obtained by a different method by Matsumoto and Yura [quant-ph/0306009]. Our proof relies heavily upon certain concavity properties of the output entropy which are of independent interest.
Keywords
Cite
@article{arxiv.quant-ph/0403072,
title = {A quantum channel with additive minimum output entropy},
author = {Nilanjana Datta and Alexander S. Holevo and Yuri M. Suhov},
journal= {arXiv preprint arXiv:quant-ph/0403072},
year = {2007}
}
Comments
15 pages, 2 figures