Constructive counterexamples to additivity of minimum output R\'enyi entropy of quantum channels for all p>2
Quantum Physics
2010-10-08 v2 Mathematical Physics
math.MP
Abstract
We present a constructive example of violation of additivity of minimum output R\'enyi entropy for each p>2. The example is provided by antisymmetric subspace of a suitable dimension. We discuss possibility of extension of the result to go beyond p>2 and obtain additivity for p=0 for a class of entanglement breaking channels.
Keywords
Cite
@article{arxiv.0911.2515,
title = {Constructive counterexamples to additivity of minimum output R\'enyi entropy of quantum channels for all p>2},
author = {Andrzej Grudka and Michał Horodecki and Łukasz Pankowski},
journal= {arXiv preprint arXiv:0911.2515},
year = {2010}
}
Comments
4 pages; a reference added