# Quantum correlations via operator systems

** Speaker:** Travis Russell, Dartmouth College

** Date:** October 20 and 27, 2022

** Abstract:** In this talk, we will consider a class of discrete multiplayer games called nonsignalling games. These are cooperative games where players are independently assigned questions and must provide answers without knowledge of what questions were asked of their teammates. The statistics arising from certain quantum mechanical strategies to nonsignalling games are called “quantum correlations”. Tsirelson’s problem, an important open question about quantum correlations, was recently shown to be equivalent to Connes’ embedding problem (ca. 1976). A negative solution was recently posed, building on the work of many physicists, mathematicians, and computer scientists. Nevertheless, interest in understanding Tsirelson’s problem in greater detail remains. In this talk, I will explore a novel approach to Tsirelson’s problem based on the theory of finite dimensional operator systems. This is based on joint work with Roy Araiza and Mark Tomforde.