Trace functions with applications in quantum physics
Mathematical Physics
2014-02-18 v3 math.MP
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 as studied by Holevo and others. We give new and simplified proofs of the Carlen-Lieb theorems concerning concavity or convexity of certain trace functions by making use of the theory of operator monotone functions. We then apply these methods in a study of new types of trace functions. Keywords: Trace function, convexity, entropy gain, residual entropy, operator monotone function.
Keywords
Cite
@article{arxiv.1305.1720,
title = {Trace functions with applications in quantum physics},
author = {Frank Hansen},
journal= {arXiv preprint arXiv:1305.1720},
year = {2014}
}
Comments
New title. More trace functions added together with a number of new theorems