Relativistic Quantum Games in Noninertial Frames

TL;DR

This paper explores how the Unruh effect impacts quantum Prisoners' Dilemma games in noninertial frames, revealing that acceleration distorts game symmetry and classical strategies dominate quantum ones.

Contribution

It demonstrates the effect of acceleration on quantum game symmetry and shows classical strategies outperform quantum strategies in noninertial frames.

Findings

Acceleration distorts game symmetry

Classical strategies dominate quantum strategies

Dilemma is resolved in favor of one player

Abstract

We study the influence of Unruh effect on quantum non-zero sum games. In particular, we investigate the quantum Prisoners' Dilemma both for entangled and unentangled initial states and show that the acceleration of the noninertial frames disturbs the symmetry of the game. It is shown that for maximally entangled initial state, the classical strategy C (cooperation) becomes the dominant strategy. Our investigation shows that any quantum strategy does no better for any player against the classical strategies. The miracle move of Eisert et al (1999 Phys. Rev. Lett. 83 3077) is no more a superior move. We show that the dilemma like situation is resolved in favor of one player or the other.