[CvGmt News] [cvgmt seminar] Quantum Wasserstein "distances" and optimal transport

ambrosio at sns.it ambrosio at sns.it
Tue Dec 11 08:26:25 CET 2018

Quantum Wasserstein "distances" and optimal transport


Date: Tuesday, Dec 18, 2018

Time: 14:00

Place: Aula Fermi, Scuola Normale Superiore

Speaker: Thierry Paul

Abstract. I will define a quantum analogue to the Wasserstein distance of order two between density operators, namely positive  trace one operators on Hilbert spaces. I will give first properties, in particular the link with usual Wasserstien distance  between positive symbols of the quantum densities and show how they define a topology more adapted to the classical limit  than the one defined by Schatten classes.  Finally i will present recent results obtained with E. Caglioti and F. Golse concerning a quantum version of the Brenier  optimal transport Theorem.

More information about the News mailing list