广义GHZ态参与的量子隐形传态最优方案

J4 ›› 2018, Vol. 35 ›› Issue (5): 576-582.

广义GHZ态参与的量子隐形传态最优方案

张国帅许道云

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

收稿日期:2018-04-10 修回日期:2018-05-11 出版日期:2018-09-28 发布日期:2018-09-29
通讯作者: 许道云（1959-），贵州人，博士，教授，主要从事量子计算和计算复杂性方面的研究。 E-mail:dyxu@gzu.edu.cn
基金资助:
Supported by National Natural Science Foundation of China(国家自然科学基金，61762019, 61462001)

Optimal scheme of quantum teleportation participated by generalized GHZ state

ZHANG Guoshuai1, XU Daoyun2

1 College of Mathematics and Statistics, Guizhou University, Guiyang 550025, China; 2 College of Computer Science and Technology, Guizhou University, Guiyang 550025, China

Received:2018-04-10 Revised:2018-05-11 Published:2018-09-28 Online:2018-09-29

摘要/Abstract

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。

关键词: 量子光学；广义GHZ态；量子隐形传态；量子通道

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 the entanglement type of the non-maximum generalized three-particle GHZ state is consistent with the entanglement type of the last three particles of the quantum channel, and the entanglement type of the joint measurement base and the initial state of the four particles 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.

Key words: quantum optics; generalized GHZ state; quantum teleportation; quantum channel

中图分类号:

O431

张国帅许道云. 广义GHZ态参与的量子隐形传态最优方案[J]. J4, 2018, 35(5): 576-582.

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