Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
Florio Maria Ciaglia, Jürgen Jost, and Lorenz J. Schwachhöfer
Contact the author: Please use for correspondence this email.
Submission date: 27. Oct. 2020
Download full preprint: PDF (654 kB)
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.