## Working Seminar on Quantum Computation and Quantum Information

Date: June 27, 2017

Time: 2:00PM - 3:30PM

Location: BLOC 506A

Speaker: Paul Gustafson, TAMU

Title: Quantum Nonlocality, Tsirelson's Theorem, and Grothendieck's Inequality

Abstract: I'll be covering Chapter 5 of Palazuelos' Quantum Information Theory notes. We'll review Bell's inequality and reframe it in terms of the spaces of possible quantum and classical correlation matrices. We will prove Tsirelson's theorem, which gives a geometric interpretation of the space of quantum correlation matrices. Lastly, we will explain how Grothendieck's inequality implies that the $2 \sqrt{2}$ violation of Bell's inequality is close to optimal.