Logic Seminar: Statistical constructions in quantum information theory
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.