Contributing USMA Research Unit(s)
Army Cyber Institute
Quantum Information and Computation
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.
Russell, T. (2020). Two-outcome synchronous correlation sets and Connes’ embedding problem. Quantum Information and Computation, vol. 20, No. 5&6, pp361 - 374. DOI: https://doi.org/10.26421/QIC20.5-6-1