Analysis of boolean functions related to binary input binary output two-party nonlocal games

The famous CHSH game can be interpreted with Boolean functions while understanding the success probability in classical scenario. In this paper, we have exhaustively studied all on four variables to express binary input output two-party nonlocal games and explore their performance both quantum scenarios. Our analysis finds out some other (other than game) which offer a higher scenario as compared one. Naturally, our study also notes that (and corresponding similar partition) is most efficient terms of separation between techniques.