Monotonicity of quantum relative entropy revisited
Quantum Physics
2009-11-07 v1
Abstract
Monotonicity under coarse-graining is a crucial property of the quantum relative entropy. The aim of this paper is to investigate the condition of equality in the monotonicity theorem and in its consequences such as the strong sub-additivity of the von Neumann entropy, the Golden-Thompson trace inequality and the monotonicity of the Holevo quantity.The relation to quantum Markovian states is briefly indicated.
Keywords
Cite
@article{arxiv.quant-ph/0209053,
title = {Monotonicity of quantum relative entropy revisited},
author = {D. Petz},
journal= {arXiv preprint arXiv:quant-ph/0209053},
year = {2009}
}
Comments
13 pages, LATEX file