A monotonicity version of a concavity theorem of Lieb

Eric A. Carlen

doi:10.1007/s00013-022-01774-6

A monotonicity version of a concavity theorem of Lieb

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

Abstract

We give a simple proof of a strengthened version of a theorem of Lieb that played a key role in the proof of strong subadditivity of the quantum entropy.

Original language	English (US)
Journal	Archiv der Mathematik
DOIs	https://doi.org/10.1007/s00013-022-01774-6
State	Accepted/In press - 2022
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

Concavity
Monotonicity
Trace inequalities

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10.1007/s00013-022-01774-6

Cite this

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title = "A monotonicity version of a concavity theorem of Lieb",

abstract = "We give a simple proof of a strengthened version of a theorem of Lieb that played a key role in the proof of strong subadditivity of the quantum entropy.",

keywords = "Concavity, Monotonicity, Trace inequalities",

author = "Carlen, {Eric A.}",

note = "Funding Information: Work partially supported by U.S. National Science Foundation grant DMS 2055282. Publisher Copyright: {\textcopyright} 2022, Springer Nature Switzerland AG.",

year = "2022",

doi = "10.1007/s00013-022-01774-6",

language = "English (US)",

journal = "Archiv der Mathematik",

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KW - Trace inequalities

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A monotonicity version of a concavity theorem of Lieb

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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