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.
Can Čencov meet Petz?
Related papers
Ranked by semantic similarity — how closely each paper's abstract matches this one (100% = near-identical topic).
- Towards a category-theoretic foundation of Classical and Quantum Information Geometry (2025)58% match
- Quantum Information Theory and Free Semialgebraic Geometry: One Wonderland Through Two Looking Glasses (2021)56% match
- The CBH characterisation theorem beyond algebraic quantum theory (2016)56% match
- Quantum Information Processing and Composite Quantum Fields (2018)56% match
- Universal entangleability of non-classical theories (2019)56% match
- Entanglement and Minimal Hilbert Space in the Classical Dual States of Quantum Theory (2025)56% match
- On Multiquantum Bits, Segre Embeddings and Coxeter Chambers (2025)56% match
- Continuum canonical purifications (2025)55% match