pith. sign in

arxiv: quant-ph/0209053 · v1 · submitted 2002-09-06 · 🪐 quant-ph

Monotonicity of quantum relative entropy revisited

D. Petz This is my paper
classification 🪐 quant-ph
keywords monotonicityentropyquantumrelativebrieflycoarse-grainingconditionconsequences
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

    quant-ph 2024-02 unverdicted novelty 6.0

    1D translation-invariant Gibbs states at positive temperature exhibit superexponential decay of Belavkin-Staszewski conditional mutual information, enabling efficient learning from local measurements and tensor networ...