Geometry from divergence functions and complex structures
DOI10.1142/S021974991941020XzbMath1441.81012arXiv2002.02891OpenAlexW3103683366MaRDI QIDQ5114366
Armando Figueroa, Florio M. Ciaglia, Luca Schiavone, Giuseppe Marmo, Fabio Di Cosmo
Publication date: 22 June 2020
Published in: International Journal of Quantum Information (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.02891
Geometry and quantization, symplectic methods (81S10) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Quantum state spaces, operational and probabilistic concepts (81P16) Differential geometric aspects of statistical manifolds and information geometry (53B12) Quantum entropies (81P17)
Cites Work
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- Classical and quantum Fisher information in the geometrical formulation of quantum mechanics
- A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: The \(q\)-\(z\) family
- Monotone metrics on matrix spaces
- Uniqueness of the Fisher–Rao metric on the space of smooth densities
- Advanced Concepts in Quantum Mechanics
- SYMPLECTIC STRUCTURES ON STATISTICAL MANIFOLDS
- Tomographic reconstruction of quantum metrics
- Geometry from Dynamics, Classical and Quantum
- α-z-Rényi relative entropies
- Topological Order, Mixed States and Open Systems
- Schwinger’s picture of quantum mechanics I: Groupoids
- Information Geometry
- Metric on the space of quantum states from relative entropy. Tomographic reconstruction
- Symplectic and Kähler Structures on Statistical Manifolds Induced from Divergence Functions
- Lie groupoids in information geometry
- Geometrization of quantum mechanics
- Geometrization of quantum mechanics
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