Entropy inequalities

Huzihiro Araki; Elliott H. Lieb

doi:10.1007/BF01646092

Entropy inequalities

Huzihiro Araki, Elliott H. Lieb

Mathematics

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

561 Scopus citations

Abstract

Some inequalities and relations among entropies of reduced quantum mechanical density matrices are discussed and proved. While these are not as strong as those available for classical systems they are nonetheless powerful enough to establish the existence of the limiting mean entropy for translationally invariant states of quantum continuous systems.

Original language	English (US)
Pages (from-to)	160-170
Number of pages	11
Journal	Communications In Mathematical Physics
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/BF01646092
State	Published - Jun 1970

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01646092

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title = "Entropy inequalities",

abstract = "Some inequalities and relations among entropies of reduced quantum mechanical density matrices are discussed and proved. While these are not as strong as those available for classical systems they are nonetheless powerful enough to establish the existence of the limiting mean entropy for translationally invariant states of quantum continuous systems.",

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year = "1970",

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AU - Lieb, Elliott H.

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JO - Communications In Mathematical Physics

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Entropy inequalities

Abstract

All Science Journal Classification (ASJC) codes

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