# 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…

## 109 Citations

Quantum Version of a Generalized Monty Hall Game and Its Possible Applications to Quantum Secure Communications

- PhysicsAnnalen der Physik
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This work proposes a quantum version of a generalized Monty Hall game, that is, one in which the parameters of the game are left free, and not fixed on its regular values, and extends its quantum scheme to include multiple independent players.

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- PhysicsProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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We study a general 2 × 2 symmetric entangled quantum game. When one player has access only to classical strategies, while the other can use the full range of quantum strategies, there are ‘miracle’…

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A quantization scheme for the Monty Hall problem is proposed inspired by an experimentally-feasible, quantum-optical set-up that resembles the classical game and considering both entanglement and non-entanglement between player and host.

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We consider a variation of the Monty Hall problem and we present a quantum version of it in which the quiz show master does not know where the prize is and can accidentally reveal it. We prove that…

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We study a general 2×2 symmetric, entangled, quantum game. When one player has access only to classical strategies while the other can use the full range of quantum strategies, there are 'miracle'…

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A quantum version of the Minority game for an arbitrary number of agents is studied. When the number of agents is odd, quantizing the game produces no advantage to the players, however, for an even…

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A general two-player quantum game simulator that can simulate any two- player quantum game described by a 2x2 payoff matrix (two strategy games) and applies the simulator to two well known quantum games, the Battle of Sexes and the Chicken game.

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