Around Quantum Optimal Transport (1/7)

par François Golse (Ecole polytechnique)

jeudi 12 oct. 2023, 10:30 → 11:30 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

This talk will start with a few basic notions about the classical theory of optimal transport between two probability measures (Monge and Wasserstein distances, Kantorovich duality, Brenier’s theorem). Recent results about extensions of these notions to the case of density operators in the content of quantum mechanics will be presented, with applications to the derivation of kinetic equations from quantum N-body systems. Finally, we shall propose a notion of optimal transport from a phase-space (classical0 probability density to a quantum density operator.