On the relation between geometrical quantum mechanics and information geometry

DOI10.3934/jgm.2015.7.169zbMath1328.53044OpenAlexW2524749809MaRDI QIDQ888757

Mathieu Molitor

Publication date: 2 November 2015

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2015.7.169

zbMATH Keywords

Wasserstein metricinformation geometryfoundations of quantum mechanicsHermitian geometryinfinite-dimensional manifolds

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global Riemannian geometry, including pinching (53C20) Statistical aspects of information-theoretic topics (62B10) Manifolds and measure-geometric topics (49Q99) Quantum hydrodynamics and relativistic hydrodynamics (76Y99)

Related Items (4)

On Some Geometric Aspects of Coherent States ⋮ Geometry of the Madelung transform ⋮ Geometric hydrodynamics and infinite-dimensional Newton’s equations ⋮ One-dimensional exponential families with constant Hessian sectional curvature

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