Quantum version of the Monty Hall problem

@article{Flitney2002QuantumVO,
  title={Quantum version of the Monty Hall problem},
  author={Adrian P. Flitney and Derek Abbott},
  journal={Physical Review A},
  year={2002},
  volume={65},
  pages={062318}
}
A version of the Monty Hall problem is presented where the players are permitted to select quantum strategies. If the initial state involves no entanglement the Nash equilibrium in the quantum game offers the players nothing more than that obtained with a classical mixed strategy. However, if the initial state involves entanglement of the qutrits of the two players, it is advantageous for one player to have access to a quantum strategy while the other does not. Where both players have access to… 

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