A Sharp Fannes-type Inequality for the von Neumann Entropy
Quantum Physics
2009-11-13 v1
Abstract
We derive an inequality relating the entropy difference between two quantum states to their trace norm distance, sharpening a well-known inequality due to M. Fannes. In our inequality, equality can be attained for every prescribed value of the trace norm distance.
Keywords
Cite
@article{arxiv.quant-ph/0610146,
title = {A Sharp Fannes-type Inequality for the von Neumann Entropy},
author = {Koenraad M. R. Audenaert},
journal= {arXiv preprint arXiv:quant-ph/0610146},
year = {2009}
}
Comments
5 pages, 3 figures