No-signalling bicorrelations and generalized quantum automorphisms of graphs

Abstract: I'll report on some recent joint work with Sam Harris, Lyudmila Turowska and Ivan Todorov (arXiv:2302.04268), where we introduce an analogue of bisynchronous correlations in the context of quantum input-quantum output non-local games. One of the main motivations of this work was to find a non-local game interpretation of the quantum automorphisms and isomorphisms of quantum graphs that have appeared recently in the literature. I'll explain how these considerations are related to tracial representations of quantum automorphism groups of matrix algebras, and in the case of ordinary graphs, lead us to a softer (and possibly more general) notion of quantum symmetry for graphs.

operator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.