光子学报, 2014, 43 (9): 0927002, 网络出版: 2014-10-23
基于cluster态任意单粒子态可控量子信息共享
Controlled Quantum Information Sharing of An Arbitrary One-particle State via Cluster State
量子通信 团簇态 Bell基测量 幺正变换 可控量子隐性传态 Quantum communication Cluster state Bell measurement Unitary transformation Controlled Quantum Teleportation
摘要
基于cluster态具有较强的纠缠顽固性, 提出两个利用四粒子cluster态传送任意单粒子态的量子信息共享方案. 第一个方案中发送者Alice、控制者Charlie和接收者Bob共享一个四粒子纠缠态, 首先Alice对自己拥有的粒子执行一个三粒子Von-Neumann联合测量, 然后Charlie对其拥有粒子执行Z基测量, 最后Bob根据发送者和控制者的测量结果, 对所拥有的粒子做适当的幺正变换, 就能重建共享的单粒子任意态. 第二个方案利用一个辅助粒子, 发送者Alice、控制者Charlie只需做Bell基测量, Bob通过比特位翻转和幺正变换即可得到Alice传送的量子态. 与已有方案相比, 两方案信息共享的成功概率为100%, 且只需四粒子cluster态为载体, 可在目前实验室技术条件下实现.
Abstract
Based on the strong persistency of entanglement of cluster state, two quantum sharing schemes were presented to realize the controlled teleportation of an arbitrarily one-particle using a four-particle cluster state as the quantum channel. In the first scheme, the sender Alice, controller Charlie and receiver Bob share a four-particle cluster entangled state. Firstly Alice performs a three-particle joint Von-Neumann measurement on her qubits. Then Charlie performs a quantum measurement on his qubit with Z basis. Finally Bob can reconstruct the shared single particle by doing unitary transformation according to the measured results from Charlie and Bob. In the second scheme, three parties also shared a four-particle cluster state and an auxiliary particle, Alice and Charlie only need Bell state measurements and Bob can get the transmitted state by performing a swap bit flip operation and one unitary transformation. Compared with the existing schemes, the success probability of these both schemes are 100% and the proposed schemes only need 4-particle cluster state as the quantum channel. Furthermore, the proposed schemes can be implemented under the current laboratory techniques.
李艳平, 王天银, 尹宝银. 基于cluster态任意单粒子态可控量子信息共享[J]. 光子学报, 2014, 43(9): 0927002. LI Yan-ping, WANG Tian-yin, YIN Bao-yin. Controlled Quantum Information Sharing of An Arbitrary One-particle State via Cluster State[J]. ACTA PHOTONICA SINICA, 2014, 43(9): 0927002.