Two-outcome synchronous correlation sets and Connes' embedding problem
Operator Algebras
2019-11-07 v2 Quantum Physics
Abstract
We show that Connes' embedding problem is equivalent to the weak Tsirelson problem in the setting of two-outcome synchronous correlation sets. We further show that the extreme points of two-outcome synchronous correlation sets can be realized using a certain class of universal C*-algebras. We examine these algebras in the three-experiment case and verify that the strong and weak Tsirelson problems have affirmative answers in that setting.
Keywords
Cite
@article{arxiv.1910.01696,
title = {Two-outcome synchronous correlation sets and Connes' embedding problem},
author = {Travis B. Russell},
journal= {arXiv preprint arXiv:1910.01696},
year = {2019}
}
Comments
15 Pages. Added additional reference (see Remark 3.7)