6533b7dcfe1ef96bd127331f

RESEARCH PRODUCT

Quantum Strategies Are Better Than Classical in Almost Any XOR Game

Andris AmbainisKaspars BalodisArturs BackursRaitis OzolsMadars VirzaJuris SmotrovsDmitrijs Kravčenko

subject

Discrete mathematicsQuantum pseudo-telepathy010102 general mathematics0103 physical sciencesFraction (mathematics)0101 mathematics010306 general physics01 natural sciencesValue (mathematics)QuantumMathematics

description

We initiate a study of random instances of nonlocal games. We show that quantum strategies are better than classical for almost any 2-player XOR game. More precisely, for large n, the entangled value of a random 2-player XOR game with n questions to every player is at least 1.21... times the classical value, for 1−o(1) fraction of all 2-player XOR games.

https://doi.org/10.1007/978-3-642-31594-7_3