Sign in
Back
Remainder terms for some quantum entropy inequalities
Journal article   Open access  Peer reviewed

Remainder terms for some quantum entropy inequalities

Eric A Carlen and Elliott H Lieb
Journal of mathematical physics, Vol.55(4), p.42201
04/01/2014
DOI: https://doi.org/10.1063/1.4871575

Abstract

Physical Sciences Physics Physics, Mathematical Science & Technology
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. (C) 2014 AIP Publishing LLC.
url
https://doi.org/10.1063/1.4871575View
Version of Record (VoR) Open

Metrics

10 Record Views
24 Times Cited - Web of Science

Details