The Schrödinger problem on the non-commutative Fisher-Rao space

DOI10.1007/s00526-020-01871-wzbMath1479.49096arXiv2007.09042OpenAlexW3123439094WikidataQ115386951 ScholiaQ115386951MaRDI QIDQ2225895

Léonard Monsaingeon, Dmitry A. Vorotnikov

Publication date: 11 February 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09042

zbMATH Keywords

Hellinger distanceFisher informationvon Neumann entropySchrödinger problemBures-Wasserstein distanceFisher-Rao spaceBures-Wasserstein spaceFisher-Rao distance

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Spaces of measures, convergence of measures (28A33)

Related Items (4)

A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature ⋮ The dynamical Schrödinger problem in abstract metric spaces ⋮ Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps ⋮ Schrödinger encounters Fisher and Rao: a survey

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