Remainder terms for some quantum entropy inequalities

Eric A. Carlen; Elliott H. Lieb

doi:10.1063/1.4871575

Remainder terms for some quantum entropy inequalities

Eric A. Carlen
, Elliott H. Lieb

Mathematics

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

28 Scopus citations

Abstract

We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.

Original language	English (US)
Article number	042201
Journal	Journal of Mathematical Physics
Volume	55
Issue number	4
DOIs	https://doi.org/10.1063/1.4871575
State	Published - Apr 23 2014

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4871575

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abstract = "We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.",

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AU - Carlen, Eric A.

AU - Lieb, Elliott H.

PY - 2014/4/23

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AB - We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Remainder terms for some quantum entropy inequalities

Abstract

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