利用2个EPR对实现3粒子GHZ态的控制隐形传态

Controlled Teleportation of 3 Particle GHZ State via 2 EPR Pairs

为了实现经济的控制隐形传态,提出一种利用2个部分纠缠EPR对实现3粒子GHZ态的概率隐形传输方案.该方案首先需要发送者向控制者申请量子信道,若控制者同意,才能通过纠缠交换,使发送者和接收者之间建立量子信道.然后发送者进行一次Bell基联合测量、两次H变换和两次单粒子测量.接收者根据发送者和控制者的测量结果,引入辅助粒子,进行两次控制非门操作和相应的幺正变换,就可以得到原始未知信息态的信息,传输成功的概率为4|a|~2|c|~2.该方案可以推广到N粒子GHZ态的控制隐形传输.若增加到N个EPR对为量子信道,还可以推广到(N-1)个控制者参与的N粒子GHZ态的控制隐形传输.该方案可以很好的应对一般的窃听方式.

In order to realize the economical controlled teleportation, a scheme to control the GHZ state o f 3 particles by using 2 part ial ly entangled EPR is proposed. Firstly , the scheme requires the sender to apply the quantum channel to the controller. If the controller agrees, the quantum channel can be established between the sender and the receiver by the entanglement swapping. Then the sender peforms a B S M , tw o H operation and two single particle measurements. The recipient according to the measurement results o f the sender and the controller, the introduct ion o f auxi liary p a r t ic le, tw o C NO T operation and corresponding unitary transformation, the original unknown state information can be obtained and the probabi lity o f successful transmission is 4｜ a ｜ ^2｜ c ｜ ^2. The scheme can be extended to the control o f the N particle GHZ state w ith invisible transmission. If the N EPR is added to the quantum channel, the scheme can also be extended to the control of the N particle GHZ state o f （N - 1） controller. The program can be a good way to deal with the general eavesdropping.