Escort density operators and generalized quantum information measures
Statistical Mechanics
2007-05-23 v1
Abstract
Parametrized families of density operators are studied. A generalization of the lower bound of Cramer and Rao is formulated. It involves escort density operators. The notion of phi-exponential family is introduced. This family, together with its escort, optimizes the generalized lower bound. It also satisfies a maximum entropy principle and exhibits a thermodynamic structure in which entropy and free energy are related by Legendre transform.
Cite
@article{arxiv.cond-mat/0407804,
title = {Escort density operators and generalized quantum information measures},
author = {Jan Naudts},
journal= {arXiv preprint arXiv:cond-mat/0407804},
year = {2007}
}
Comments
10 pages