[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
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http://cvgmt.sns.it/seminar/671/
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.
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