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math.OC2026
An algorithm for dynamical quantum optimal transport with applications to quantum chemistry
Genevieve Dusson, Virginie Ehrlacher, Etienne Obermeyer
Quantum optimal transport (QOT) is a rapidly developing field. Among the many formulations of this adaptation of classical optimal transport (OT) to spaces of density matrices, we…
math.OC2023★ 1 cited
A Wasserstein-type metric for generic mixture models, including location-scatter and group invariant measures
Geneviève Dusson, Virginie Ehrlacher, Nathalie Nouaime
In this article, we study Wasserstein-type metrics and corresponding barycenters for mixtures of a chosen subset of probability measures called atoms hereafter. In particular, this…