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arXiv quant-ph/0212122quant-ph
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连续变量量子博弈

Continuous-Variable Quantum Games

Hui Li, Jiangfeng Du, Serge Massar

摘要:

我们研究了游戏的量子化,其中玩家可以访问一个连续的经典策略集,利用连续变量的量子系统。对于古诺双寡头博弈的特殊情况,我们发现,即使在量子博弈中的两个参与者都像在经典博弈中一样“自私”,但由于它们之间的量子纠缠,它们实际上是合作的。我们还发现,原来的爱因斯坦-波多尔斯基-罗森状态有助于最好的利润,这两家公司可以永远实现。此外,我们提出了一个实际的实验设置,这样的量子游戏的实施。

英文摘要:

We investigate the quantization of games in which the players can access to a continuous set of classical strategies, making use of continuous-variable quantum systems. For the particular case of the Cournot's Duopoly, we find that, even though the two players both act as "selfishly" in the quantum game as they do in the classical game, they are found to virtually cooperate due to the quantum entanglement between them. We also find that the original Einstein-Podolksy-Rosen state contributes to the best profits that the two firms could ever attain. Moreover, we propose a practical experimental setup for the implementation of such quantum games.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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