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arXiv · 2010.14394

Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras

Florio M. Ciaglia·Jürgen Jost·Lorenz Schwachhöfer
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Abstract

A geometrical formulation of estimation theory for finite-dimensional $C^{\star}$-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.

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BibTeXRIS

Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer. 2020-10-27. Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras. https://doi.org/10.3390/e22111332

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