Validity and failure of some entropy inequalities for CAR systems

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...

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Bibliographic Details
Published in:Journal of mathematical physics 2005-03, Vol.46 (3), p.HH1
Main Author: Moriya, Hajime
Format: Article
Language:English
Subjects:
CAR
Mathematical analysis
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Summary: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. [PUBLICATION ABSTRACT]
ISSN:0022-2488
1089-7658