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Open Quantum Systems Decoherence
Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
arXiv
Authors: Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer
Year
2020
Paper ID
19609
Status
Preprint
Abstract Read
~2 min
Abstract Words
50
Citations
N/A
Abstract
A geometrical formulation of estimation theory for finite-dimensional Cstar-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.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- A geometrical formulation of estimation theory for finite-dimensional C^star-algebras is presented.
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