量子电子学报, 2018, 35 (5): 576, 网络出版: 2018-10-07   

广义GHZ态参与的量子隐形传态最优方案

Optimal scheme of quantum teleportation participated by generalized GHZ state
作者单位
1 贵州大学数学与统计学院, 贵州 贵阳 550025
2 贵州大学计算机科学与技术学院, 贵州 贵阳 550025
摘要
在仅有广义GHZ态参与的量子隐形传态中,通过分析待传量子态、量子通道和联合测量基之间的 关系,设计了一种节约量子资源的隐形传态方案。在非最大广义三粒子GHZ态隐形传送中,用任意两种 广义四粒子GHZ态作为量子通道,通过分析接收者进行的幺正变换,发现当非最大广义三粒子GHZ态的纠 缠类型与量子通道最后三粒子的纠缠类型一致、且联合测量基的纠缠类型与初始态前四个粒子的纠缠类型 一致时,接收者进行幺正变换的矩阵最简单。结果表明高效隐形传输所选择的最优GHZ态量子通道和GHZ态 测量基由待传非最大广义GHZ态的纠缠类型决定。
Abstract
In quantum teleportation with only generalized GHZ state participating, a kind of teleportation scheme of saving quantum resource is designed by analyzing the relationship between the quantum state to be transmitted, quantum channel and joint measurement base. In the problem of non-maximum generalized three-particle GHZ state quantum teleportation, arbitrary two generalized four-particle GHZ states are used as quantum channels. By analyzing the unitary transformation performed by the receiver, it’s found that when entanglement type of the non-maximum generalized three-particle GHZ state is consistent with that of the last three particles of the quantum channel, and the entanglement type of the joint measurement base and the first of the four particles in initial state are the same, the matrix that the receiver performs unitary transformation is the simplest. Results show that the optimal GHZ state quantum channel and GHZ state measurement basis selected for efficient invisible transmission are determined by entanglement type of the non-maximal generalized GHZ state to be transmitted.

张国帅, 许道云. 广义GHZ态参与的量子隐形传态最优方案[J]. 量子电子学报, 2018, 35(5): 576. ZHANG Guoshuai, XU Daoyun. Optimal scheme of quantum teleportation participated by generalized GHZ state[J]. Chinese Journal of Quantum Electronics, 2018, 35(5): 576.

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