Can Čencov meet Petz?

We discuss how to exploit the recent formulation of classical and quantum information geometry in terms of normal states on \(W^{*}\)-algebras to formulate a problem that unifies Cencov's theorem and Petz's theorem.

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Bibliographic Details
Published in:arXiv.org 2023-08
Main Authors: Ciaglia, Florio M, Fabio Di Cosmo, González-Bravo, Laura
Format: Article
Language:English
Subjects:
Quantum phenomena
Theorems
Online Access:Get full text
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Description
Summary:We discuss how to exploit the recent formulation of classical and quantum information geometry in terms of normal states on \(W^{*}\)-algebras to formulate a problem that unifies Cencov's theorem and Petz's theorem.
ISSN:2331-8422
DOI:10.48550/arxiv.2305.12482