Monotone metric tensors in Quantum Information Geometry

2022/03/21 by Florio M. Ciaglia, Ciaglia, Florio M., Fabio Di Cosmo +5 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Physics (quant-ph) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2203.10857

openalex publication_date 2022/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review some geometrical aspects pertaining to the world of monotone quantum metrics in finite dimensions. Particular emphasis is given to an unfolded perspective for quantum states that is built out of the spectral theorem and is naturally suited to investigate the comparison with the classical case of probability distributions.

Cited by

• Bi-forms Approach to Potential Functions in Information Geometry
• Support-Projected Petz Monotone Geometry of Pure Two-Qubit Families: Universal Three-Channel Decomposition and Non-Reduction of Curvature Invariants

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