Quantum Monty Hall problem under decoherence

Abstract

We study the effect of decoherence on quantum Monty Hall problem under the influence of amplitude damping, depolarizing and dephasing channels. It is shown that under the effect of decoherence, there is a Nash equilibrium of the game in case of depolarizing channel for Alice's quantum strategy. Where as in case of dephasing noise, the game is not influenced by the quantum channel. For amplitude damping channel, the Bob's payoffs are found symmetrical with maximum at p=0.5 against his classical strategy. However, it is worth-mentioning that in case of depolarizing channel, Bob's classical strategy remains always dominant against any choice of Alice's strategy.

22 pages, 6 .eps figures

References in corpus (7)

• Quantum version of the Monty Hall problem
• Quantum games with decoherence
• Experimental realization of a quantum game on a one-way quantum computer
• Bayesian Nash Equilibria and Bell Inequalities
• Probabilistic analysis of three-player symmetric quantum games played using the Einstein-Podolsky-Rosen-Bohm setting
• The effect of quantum memory on quantum games
• Noise effects in a three-player Prisoner's Dilemma quantum game

Cited by in corpus (5)

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• Quantum Key-Distribution Protocols Based on a Quantum Version of the Monty Hall Game
• Quantum version of a generalized Monty Hall game and its possible applications to quantum secure communications
• Quantum inferring acausal structures and the Monty Hall problem
• Quantum-Optical set-up for the Monty Hall problem