Noisy Relativistic Quantum Games in Noninertial Frames

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.

14 pages and 6 figures

References in corpus (7)

• Entanglement of Dirac fields in non-inertial frames
• Quantum Entanglement of Moving Bodies
• Optimal quantum estimation of the Unruh-Hawking effect
• Nash equilibria in quantum games with generalized two-parameter strategies
• Degradation of non-maximal entanglement of scalar and Dirac fields in non-inertial frames
• Quantum Entanglement of Electromagnetic Fields in Non-inertial Reference Frames
• Entanglement of Tripartite States with Decoherence in Noninertial frames

Cited by in corpus (1)

• Decoherence effects in the quantum qubit flip game using Markovian approximation