Differential Geometric Aspects of Parametric Estimation Theory for States on Finite-Dimensional C∗-Algebras
Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer
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.
arXiv:2010.14394•Entropy•Nov 23, 2020•10 citations