Trace Functions with Applications in Quantum Physics

Frank Hansen

doi:10.1007/s10955-013-0890-x

Trace Functions with Applications in Quantum Physics

Frank Hansen

Division of Developmental Research in Education Programs

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

9 Citations (Scopus)

Abstract

We consider both known and not previously studied trace functions with applications in quantum physics. By using perspectives we obtain convexity statements for different notions of residual entropy, including the entropy gain of a quantum channel studied by Holevo and others. We give new proofs of Carlen-Lieb's concavity/convexity theorems for certain trace functions, by making use of the theory of operator monotone functions. We then apply these methods in a study of new classes of trace functions.

Original language	English
Pages (from-to)	807-818
Number of pages	12
Journal	Journal of Statistical Physics
Volume	154
Issue number	3
DOIs	https://doi.org/10.1007/s10955-013-0890-x
Publication status	Published - 2014 Feb

Keywords

Convexity
Entropy gain
Operator monotone function
Residual entropy
Trace function

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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AB - We consider both known and not previously studied trace functions with applications in quantum physics. By using perspectives we obtain convexity statements for different notions of residual entropy, including the entropy gain of a quantum channel studied by Holevo and others. We give new proofs of Carlen-Lieb's concavity/convexity theorems for certain trace functions, by making use of the theory of operator monotone functions. We then apply these methods in a study of new classes of trace functions.

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KW - Entropy gain

KW - Operator monotone function

KW - Residual entropy

KW - Trace function

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Trace Functions with Applications in Quantum Physics

Abstract

Keywords

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