Characterization of symmetric monotone metrics on the state space of quantum systems
Mathematical Physics
2007-05-23 v3 math.MP
Abstract
The quantum Fisher information is a Riemannian metric, defined on the state space of a quantum system, which is symmetric and decreasing under stochastic mappings. Contrary to the classical case such a metric is not unique. We complete the characterization, initiated by Morozova, Chentsov and Petz, of these metrics by providing a closed and tractable formula for the set of Morozova-Chentsov functions. In addition, we provide a continuously increasing bridge between the smallest and largest symmetric monotone metrics.
Keywords
Cite
@article{arxiv.math-ph/0601056,
title = {Characterization of symmetric monotone metrics on the state space of quantum systems},
author = {Frank Hansen},
journal= {arXiv preprint arXiv:math-ph/0601056},
year = {2007}
}
Comments
Minor revision with new title and abstract as suggested by a referee