English

Quantum strategies are better than classical in almost any XOR game

Quantum Physics 2011-12-15 v1 Computer Science and Game Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1112.3330,
  title  = {Quantum strategies are better than classical in almost any XOR game},
  author = {Andris Ambainis and Arturs Backurs and Kaspars Balodis and Dmitry Kravcenko and Raitis Ozols and Juris Smotrovs and Madars Virza},
  journal= {arXiv preprint arXiv:1112.3330},
  year   = {2011}
}

Comments

22 pages, 1 figure