Logic Seminar: Statistical constructions in quantum information theory

CATEGORIES: Department, Math, Seminar
March 30, 2022, 2:10-3:00pm | Carver 401

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.