Bisynchronous Games

Abstract: For some games played by two cooperating but non-communicating players, the players can use entanglement as a resource to improve their outcomes beyond what is possible classically. Graph colouring game, graph homomorphism game and graph isomorphism game are a few examples of these games. Over the last few years, a remarkable progress has been taken place in the theory of these non-local games. One significant aspect of this development is its connection with many challenging problems in operator algebras.

In this talk, I will review the theory of these games and explain the relevant connection with operator algebras. In particular, I will introduce a new class of games which is called bisynchronous and will show a close connection between bisynchronous games and the theory of quantum groups. Moreover, when the number of inputs is equal to the number of outputs, each bisynchronous correlation gives rise to a completely positive map which will be shown to be factorable in the sense of Haagerup and Musat. This is a joint work with Vern Paulsen. No background in quantum theory is needed for this talk.

functional analysisK-theory and homologyoperator algebras

Audience: researchers in the topic

Webinars on Operator Theory and Operator Algebras