Q-Math Seminar
Can Cencov meet Petz?
Speaker: Florio M. Ciaglia (UC3M)Date: Friday, 27 January 2023 - 13:00Place: Room 2.2.D08, Universidad Carlos III de Madrid
Online: https://eu.bbcollab.com/guest/f3948cade28f4fb295b24cea1a87e202
Abstract:
Cencov's theorem on the uniqueness of the Fisher-Rao metric tensor and Petz's classification of monotone metric tensors are considered the cornerstones of classical and quantum information geometry, respectively. I will review and discuss these beautiful results with particular attention to a categorical formalization of Petz's classification in analogy with Cencov's ideology, and I will then argue about a possible unification in the framework of Jordan algebras.
