Validity and failure of some entropy inequalities for CAR systems

Hajime Moriya

doi:10.1063/1.1850995

Validity and failure of some entropy inequalities for CAR systems

Hajime Moriya

Research output: Contribution to journal › Article › peer-review

7 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 language	English
Article number	033508
Journal	Journal of Mathematical Physics
Volume	46
Issue number	3
DOIs	https://doi.org/10.1063/1.1850995
Publication status	Published - 2005 Mar
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1850995

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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.",

author = "Hajime Moriya",

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AB - 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.

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Validity and failure of some entropy inequalities for CAR systems

Abstract

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