@article{11330, 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 a Hamilton–Jacobi–Bellmann equation.}, author = {Wirth, Melchior}, issn = {15729613}, journal = {Journal of Statistical Physics}, number = {2}, publisher = {Springer Nature}, title = {{A dual formula for the noncommutative transport distance}}, doi = {10.1007/s10955-022-02911-9}, volume = {187}, year = {2022}, }