Three-player quantum Kolkata restaurant problem under decoherence

Abstract

Effect of quantum decoherence in a three-player quantum Kolkata restaurant problem is investigated using tripartite entangled qutrit states. Amplitude damping, depolarizing, phase damping, trit-phase flip and phase flip channels are considered to analyze the behaviour of players payoffs. It is seen that Alice's payoff is heavily influenced by the amplitude damping channel as compared to the depolarizing and flipping channels. However, for higher level of decoherence, Alice's payoff is strongly affected by depolarizing noise. Whereas the behaviour of phase damping channel is symmetrical around 50 % decoherence. It is also seen that for maximum decoherence (p=1), the influence of amplitude damping channel dominates over depolarizing and flipping channels. Whereas, phase damping channel has no effect on the Alice's payoff. Therefore, the problem becomes noiseless one at maximum decoherence in case of phase damping channel. Furthermore, the Nash equilibrium of the problem does not change under decoherence.

11 pages, 4 .eps figures

References in corpus (4)

• Coalitions in the quantum Minority game: classical cheats and quantum bullies
• Noise Effects in Quantum Magic Squares Game
• Noise effects in a three-player Prisoner's Dilemma quantum game
• Qubit flip game on a Heisenberg spin chain

Cited by in corpus (8)

• High-dimensional quantum teleportation under noisy environments
• Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
• General quantum two-players games, their gate operators and Nash equilibria
• Stability of Dining Clubs in the Kolkata Paise Problem with and without Cheating
• Note on maximally entangled Eisert-Lewenstein-Wilkens quantum games
• Quantum Cournot model based on general entanglement operator
• Achieving Maximum Utilization in Optimal Time for Learning or Convergence in the Kolkata Paise Restaurant Problem
• Resource-Efficient Teleportation of High-Dimensional Quantum Coherence via Initial Phase Engineering