Quantum advice enhances social optimality in three-party conflicting interest games

TL;DR

This paper introduces two new three-party conflicting interest games demonstrating that quantum advice can improve social optimality, extending previous two-party results and highlighting quantum mechanics' advantages in complex multi-party scenarios.

Contribution

The paper presents two novel three-party conflicting interest games showing quantum advice enhances social optimality, expanding the understanding of quantum advantages beyond two-party settings.

Findings

Quantum advice improves social optimality in three-party games

First demonstration of quantum advantage in three-party conflicting interest games

Extension of quantum social optimality results to multi-party scenarios

Abstract

Quantum pseudo-telepathy games are good examples of explaining the strangeness of quantum mechanics and demonstrating the advantage of quantum resources over classical resources. Most of the quantum pseudo-telepathy games are common interest games, nevertheless conflicting interest games are more widely used to model real world situations. Recently Pappa et al. (Phys. Rev. Lett. 114, 020401, 2015) proposed the first two-party conflicting interest game where quantum advice enhances social optimality. In the present paper we give two new three-party conflicting interest games and show that quantum advice can enhance social optimality in a three-party setting. The first game we propose is based on the famous GHZ game which is a common interest game. The second game we propose is related to the Svetlichny inequality which demonstrates quantum mechanics cannot be explained by the local hidden variable model in a three-party setting.