Colloque des sciences mathématiques du Québec

12 avril 2013 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Quantum correlations and Tsirelson's problem

Colloque par Narutaka Ozawa (RIMS, Kyoto University)

The EPR paradox tells us quantum theory is incompatible with classic realistic theory. Indeed, Bell has shown that quantum correlations of independent bipartite systems have more possibility than the classical correlations. To study what the possibilities are, Tsirelson has introduced the set of quantum correlation matrices, but depending on the interpretation of independence, there are two plausible definitions of it. Tsirelson's problem asks whether these definitions are equivalent. It turned out that this problem in quantum information theory is in fact equivalent to Connes's embedding conjecture, one of the most important open problems in theory of operator algebras. I will talk some recent progress on Tsirelson's problem.


UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., salle SH-3420