Continuous-Variable Quantum Games

@article{Li2002ContinuousVariableQG,
  title={Continuous-Variable Quantum Games},
  author={Hui Li and Jiangfeng Du and Serge Massar},
  journal={Physics Letters A},
  year={2002},
  volume={306},
  pages={73-78}
}

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  • R. Alonso-Sanz
  • Physics
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  • 2019
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References

SHOWING 1-10 OF 31 REFERENCES
Experimental realization of quantum games on a quantum computer.
TLDR
It is shown that the game exhibits an intriguing structure as a function of the amount of entanglement with two thresholds which separate a classical region, an intermediate region, and a fully quantum region.
Quantum version of the Monty Hall problem
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
Noisy quantum game
In a recent paper [D. A. Meyer, Phys. Rev. Lett. 82, 1052 (1999)], it has been shown that a classical zero-sum strategic game can become a winning quantum game for the player with a quantum device.
Quantum Games and Quantum Strategies
We investigate the quantization of non-zero sum games. For the particular case of the Prisoners' Dilemma we show that this game ceases to pose a dilemma if quantum strategies are allowed for. We also
Quantum strategies
TLDR
It is proved that in general a quantum strategy is always at least as good as a classical one, and furthermore that when both players use quantum strategies there need not be any equilibrium, but if both are allowed mixed quantum strategiesthere must be.
Playing a quantum game with a corrupted source
The quantum advantage arising in a simplified multiplayer quantum game is found to be a disadvantage when the game's qubit source is corrupted by a noisy ``demon.'' Above a critical value of the
Backwards-induction outcome in a quantum game
In economics duopoly is a market dominated by two firms large enough to influence the market price. Stackelberg presented a dynamic form of duopoly that is also called ‘leader-follower’ model. We
...
...