Differential Geometric Aspects of Parametric Estimation Theory for States on Finite-Dimensional C∗-Algebras.

Florio M Ciaglia Jürgen Jost Lorenz Schwachhöfer

Published in: Entropy (Basel, Switzerland) (2020)

A geometrical formulation of estimation theory for finite-dimensional C∗-algebras is presented. This formulation allows to deal with the classical and quantum case in a single, unifying mathematical framework. The derivation of the Cramer-Rao and Helstrom bounds for parametric statistical models with discrete and finite outcome spaces is presented.

Keyphrases

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molecular dynamics