Pith. sign in

REVIEW 1 cited by

Can \v{C}encov meet Petz?

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2305.12482 v2 pith:6M4WDSPF submitted 2023-05-21 math-ph math.MPquant-ph

Florio M. Ciaglia , Fabio Di Cosmo , Laura González-Bravo This is my paper · ORCID
classification math-phmath.MPquant-ph
keywords petztheoremalgebrascencovclassicaldiscussencovexploit
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards a category-theoretic foundation of Classical and Quantum Information Geometry

    math-ph 2025-09 reject novelty 6.0 of 10

    The paper defines a category NCP and fields of covariances, and announces that classifying them subsumes Cencov's Fisher-Rao uniqueness and Petz's monotone quantum metrics.

Pith tools