任意多入的量子博弈

量子博弈是量子信息学最近兴起的又一分支.杜江峰等在研究连续变量量子博弈中,利用了双模压缩态实现量子纠缠并产生优于经典的结果.我们在此基础上对于有任意多个参与者并且策略为连续的量子博弈做了研究.通过利用一多模光场,该光场是由各个光模之间两两互相纠缠形成的.利用这个方案上述结论可以推广至任意多个参与者.并且,随着纠缠度的增加他们的总收益也增加,当每一对双模光场达到最大纠缠时,他们的总收益亦将最大.

Multiplayer quantum game with continuous-variable strategies

Quantum games has becoming a new arisen branch of the quantum information. Du etc. utilize a two mode electromagnetic fileds in discussing the continuous-variable quantum games. From the model, they realized the entanglement in the game which might lead superior consults than the coresponding classical games. A multiplayer quantum game that the players can access to a continuous set of strategies is studied. By utilizing a kind of multi-mode electromagnetic fileds and let every two mode of the fields entangled pairwise. We discovered, base on this scheme, the conclusion above could be extended to arbitrary number of participators. With the increasing of entangle parameter, The sum of the profits will also increase monotonously. When each two-mode electromagnetic fileds entangle to maximum, i.e. EPR state, they will also attain highest profits.