Noisy Relativistic Quantum Games in Noninertial Frames

TL;DR

This paper explores how noise and the Unruh effect influence quantum Prisoners' dilemma in noninertial frames, revealing that decoherence can mitigate acceleration effects and alter equilibrium outcomes, thus impacting strategic advantages.

Contribution

It introduces analysis of noise and acceleration effects on quantum games, showing how decoherence affects equilibrium states and strategic dominance in noninertial quantum settings.

Findings

Decoherence can negate acceleration effects in unentangled states.

All strategies lead to specific equilibria in fully decohered maximally entangled states.

The 'miracle move' yields distinguishable results and influences dilemma resolution.

Abstract

The influence of noise and of Unruh effect on quantum Prisoners' dilemma is investigated both for entangled and unentangled initial states. The noise is incorporated through amplitude damping channel. For unentangled initial state, the decoherence compensates for the adverse effect of acceleration of the frame and the effect of acceleration becomes irrelevant provided the game is fully decohered. It is shown that the inertial player always out scores the noninertial player by choosing defection. For maximally entangled initially state, we show that for fully decohered case every strategy profile results in either of the two possible equilibrium outcomes. Two of the four possible strategy profiles become Pareto Optimal and Nash equilibrium and no dilemma is leftover. It is shown that other equilibrium points emerge for different region of values of decoherence parameter that are either Pareto optimal or Pareto inefficient in the quantum strategic spaces. It is shown that the Eisert et al miracle move is a special move that leads always to distinguishable results compare to other moves. We show that the dilemma like situation is resolved in favor of one player or the other.