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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
Florio Maria Ciaglia, Jürgen Jost and Lorenz J. SchwachhöferAbstract
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.
- Received:
- 27.10.20
- Published:
- 27.10.20