Monotonicity of quantum relative entropy revisited

Research output: Contribution to journalArticle

77 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)79-91
Number of pages13
JournalReviews in Mathematical Physics
Volume15
Issue number1
DOIs
Publication statusPublished - Mar 2003

Fingerprint

Quantum Entropy
Relative Entropy
Monotonicity
entropy
Trace Inequality
Subadditivity
Coarse-graining
theorems
Equality
Entropy
Theorem

Keywords

  • α-entropy
  • Coarse-graining
  • Quantum states
  • Relative entropy
  • Strong subadditivity
  • Uhlmann's theorem

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Monotonicity of quantum relative entropy revisited. / Petz, D.

In: Reviews in Mathematical Physics, Vol. 15, No. 1, 03.2003, p. 79-91.

Research output: Contribution to journalArticle

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