# Logic Seminar: Statistical constructions in quantum information theory

**Author: Lona**

**Author: Lona**

**Speaker:** Peter Burton (University of Toronto)

**Abstract:** A nonlocal game is a construction in quantum information theory which provides a mathematical basis for experimental tests of entanglement between particles. We will describe how to recast the formalism of nonlocal games from the standard language of projections on Hilbert spaces into a more concrete ‘statistical’ set-up that involves sampling from random variables. In particular, we will present a result asserting these formulations are equivalent in the sense that they produce the same families of possible measurements. We will also discuss how to interpret the MIP* = RE incomputibility theorem in the statistical context.