Remainder Terms for Some Quantum Entropy Inequalities
Quantum Physics
2014-10-21 v2 Mathematical Physics
math.MP
Operator Algebras
Abstract
We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.
Cite
@article{arxiv.1402.3840,
title = {Remainder Terms for Some Quantum Entropy Inequalities},
author = {Eric A. Carlen and Elliott H. Lieb},
journal= {arXiv preprint arXiv:1402.3840},
year = {2014}
}
Comments
6 pages, latex