Synchronous correlations, Bell inequalities, and categories of nonlocal games
APA
Lackey, B. (2017). Synchronous correlations, Bell inequalities, and categories of nonlocal games. Perimeter Institute. https://pirsa.org/17050094
MLA
Lackey, Brad. Synchronous correlations, Bell inequalities, and categories of nonlocal games. Perimeter Institute, May. 24, 2017, https://pirsa.org/17050094
BibTex
@misc{ pirsa_PIRSA:17050094, doi = {10.48660/17050094}, url = {https://pirsa.org/17050094}, author = {Lackey, Brad}, keywords = {Other}, language = {en}, title = {Synchronous correlations, Bell inequalities, and categories of nonlocal games}, publisher = {Perimeter Institute}, year = {2017}, month = {may}, note = {PIRSA:17050094 see, \url{https://pirsa.org}} }
Given two sets X and Y, we consider synchronous correlations in a two-party nonlocal game with inputs X and outputs Y as a notion of generalized function between these sets (akin to a quantum graph homomorphism). We examine some structures in categories of synchronous classical, quantum, and nonsignalling strategies. We also provide analogues of Bell’s inequalities for such games when Y = {0,1}.