Some operator monotone functions
Operator Algebras
2009-02-08 v3 Mathematical Physics
math.MP
Abstract
We prove that the functions t -> (t^q-1)(t^p-1)^{-1} are operator monotone in the positive half-axis for 0 < p < q < 1, and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems.
Cite
@article{arxiv.0803.2364,
title = {Some operator monotone functions},
author = {Frank Hansen},
journal= {arXiv preprint arXiv:0803.2364},
year = {2009}
}
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