Validity and failure of some entropy inequalities for CAR systems

Hajime Moriya

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5 Citations (Scopus)

Abstract

Basic properties of von Neumann entropy such as the triangle inequality and what we call MONO-SSA are studied for CAR systems. We show that both inequalities hold for every even state by using symmetric purification which is applicable to such a state. We construct a certain class of noneven states giving examples of the nonvalidity of those inequalities.

Original languageEnglish
Article number033508
JournalJournal of Mathematical Physics
Volume46
Issue number3
DOIs
Publication statusPublished - 2005 Mar 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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