József Pitrik (Wigner & Rényi & BUTE): On the geometry of quantum state spaces

We give an overview of the geometry of classical and quantum probability spaces. We investigate the role of f-divergences, monotone metrics, and Wasserstein distances, as well as the connections among them. The talk is based on joint work with Géza Tóth (UPV/EHU Bilbao, Wigner).