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

A geometrical formulation of estimation theory for finite-dimensional [Formula: see text]-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 stati...

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Detalles Bibliográficos
Autores principales: Ciaglia, Florio M., Jost, Jürgen, Schwachhöfer, Lorenz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7712486/
https://www.ncbi.nlm.nih.gov/pubmed/33266515
http://dx.doi.org/10.3390/e22111332
Descripción
Sumario:A geometrical formulation of estimation theory for finite-dimensional [Formula: see text]-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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