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Remainder terms for some quantum entropy inequalities

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4871575· OSTI ID:22250686
;  [1]
  1. Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019 (United States)
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.
OSTI ID:
22250686
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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