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A dual formula for the noncommutative transport distance

Published 24 Apr 2021 in math-ph, math.MP, math.OA, and math.OC | (2104.11923v2)

Abstract: In this article we study the noncommutative transport distance introduced by Carlen and Maas and its entropic regularization defined by Becker and Li. We prove a duality formula that can be understood as a quantum version of the dual Benamou-Brenier formulation of the Wasserstein distance in terms of subsolutions of Hamilton-Jacobi-Bellmann equation.

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Authors (1)

  1. Melchior Wirth 

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