MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED-Reference-Cited by-同舟云学术

MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED

Published:2003-03 Issue:01 Volume:15 Page:79-91
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

PETZ DÉNES¹

Affiliation:

1. Department for Mathematical Analysis, Budapest University of Technology and Economics, H-1521 Budapest XI., Hungary

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 as the strong sub-additivity of von Neumann entropy, the Golden–Thompson trace inequality and the monotonicity of the Holevo quantitity. The relation to quantum Markov states is briefly indicated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X03001576

Reference23 articles.

1. Conditional expectations in von Neumann algebras and a theorem of Takesaki

2. Relative entropy of states of von Neumann algebras

3. On an inequality of Lieb and Thirring

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