English

Can \v{C}encov meet Petz?

Mathematical Physics 2023-08-02 v2 math.MP Quantum Physics

Abstract

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

Cite

@article{arxiv.2305.12482,
  title  = {Can \v{C}encov meet Petz?},
  author = {Florio M. Ciaglia and Fabio Di Cosmo and Laura González-Bravo},
  journal= {arXiv preprint arXiv:2305.12482},
  year   = {2023}
}

Comments

9 pages - Comments are welcome!

R2 v1 2026-06-28T10:40:32.764Z