Quantum strategies are better than classical in almost any XOR game

TL;DR

This paper demonstrates that quantum strategies outperform classical ones in nearly all large random 2-player XOR games, highlighting the advantage of quantum over classical approaches in nonlocal game scenarios.

Contribution

It establishes that for most large random XOR games, quantum strategies significantly outperform classical strategies, a novel result in the study of nonlocal games.

Findings

Quantum strategies outperform classical in almost all large XOR games.

Entangled value exceeds classical value by at least 1.21 times for most games.

Results apply to a 1-o(1) fraction of all such games.

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.