PhD Thesis Seminar - Quantum XOR games and Connes' embedding problem

Sam Harris, IQC/Department of Pure Mathematics

Last time we looked at unitary correlation sets, and obtained an analogue of Tsirelson's problem that is equivalent to the original one. In this talk, we'll see how unitary correlations can be thought of as strategies for a certain class of two-player (extended) non-local games, called quantum XOR games. Moreover, we'll see that Connes' embedding problem is equivalent to determining whether every quantum XOR game has the same winning probability in the commuting model as in the approximate finite-dimensional model.