n维量子系统中纯态的量子克隆机

Quantum cloning machines of pure states in an n dimensional quantum system

讨论了n维量子系统中纯态的一种量子克隆机.建立了量子克隆机可精确克隆量子态的充要条件.提出了3个纠缠指数Dabc(1),Dabc(2),Dabc(3)与克隆质量指数Da,并给出了它们之间的不等式关系.最后,证明了纠缠指数Dabc(1),Dabc(2),Dabc(3)之间的不等式关系.

A quantum cloning machine for general pure states of in an n dimensional quantum system is proposed and discussed. First,a necessary and sufficient condition for a pure state to be cloned accurately is given. Second,the three entanglement indexesDabc（1）,Dabc（2）,Dabc（3） of the output state and the index of clo- ning quality Da of the input state are introduced,the inequality relations between them are established. Finally,some inequality relations on the indices Dabc（1）,Dabc（2）,Dabc（3） are proved.