On the Bures-Wasserstein distance between positive definite matrices

DOI10.1016/j.exmath.2018.01.002zbMath1437.15044arXiv1712.01504OpenAlexW2964068697MaRDI QIDQ2323328

Tanvi Jain, Rajendra Bhatia, Yongdo Lim

Publication date: 30 August 2019

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01504

zbMATH Keywords

Wasserstein metric positive definite matrices fidelity optimal transport Bures distance coupling problem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Geodesics in global differential geometry (53C22) Operator means involving linear operators, shorted linear operators, etc. (47A64) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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