Escort density operators and generalized quantum information measures

Details Escort density operators and generalized quantum information measures Escort density operators and generalized quantum information measures

2004-07-30

arxiv.org/abs/cond-mat/0407804v1

Open Systems and Information Dynamics 12, 13-22 (2005)

Physics

Condensed Matter

Statistical Mechanics

10 pages

Scientific paper

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.

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