基于GHZ态的三粒子纠缠态量子信息共享研究  

Research on Quantum Information Sharing of a Three-particle Entangled State via a GHZ State

作　　者：郭伟[1] 谢淑翠[2] 张建中[1] 杜红珍[3] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710119 [2]西安邮电大学理学院,陕西西安710119 [3]宝鸡文理学院数学系,陕西宝鸡721007

出　　处：《信息网络安全》2016年第1期24-28,共5页Netinfo Security

基　　金：国家自然科学基金[61402275;61273311;61402015];陕西省自然科学基础研究计划资助项目[2015JM6263];陕西省教育厅专项科研计划项目[15JK1022]

摘　　要：量子信息共享就是利用量子信道在发送方(Alice)和接收方(Bob)之间传递量子态,从而达到传送量子态所携带信息的一种技术。文章利用四粒子Greenberge-Horne-Zeilinger(GHZ)态提出一个三粒子纠缠态的量子信息共享方案。首先,Alice对自己手中的相应粒子分别作用三次控制非(CNOT)门和一次哈德蒙(Hadamard)门;然后,Alice对其拥有的粒子执行一次四粒子计算基测量;最后,Bob根据发送方的测量结果,对所持有的粒子执行适当的幺正变换,从而成功重构共享的三粒子纠缠态。文章方案可以很容易地被推广到利用(n+1)粒子GHZ纠缠态作为量子信道来共享n粒子GHZ纠缠态的情形。Quantum information sharing is a technology that can transmit quantum state, which may carry information, from a sender Alice to a receiver Bob by using the property of quantum entanglement. This paper proposes a quantum information sharing scheme of a three-particle entangled state by using a four-particle Greenberge-Horne-Zeilinger（GHZ） state. Firstly Alice applies three times controlledNOT（CNOT） gates and a Hadamard gate to her corresponding qubits. Then she performs a four-particle computation basis measurement on her qubits. Finally Bob can reconstruct the shared three-particle entangled state successfully by doing an appropriate unitary transformation on his corresponding qubits according to the measurement results from Alice. The scheme can be easily generalized to share a n-particle entangled state by using（n＋1）-particle GHZ state as a quantum channel.

关 键 词：量子通信 控制非门 幺正变换 计算基测量 量子线路模型 

分 类 号：TN918[电子电信—通信与信息系统] O413[电子电信—信息与通信工程]