基于GHZ态的三粒子纠缠态量子信息共享研究

doi:10.3969/j.issn.1671-1122.2016.01.005

信息网络安全 ›› 2016, Vol. 16 ›› Issue (1): 24-28.doi: 10.3969/j.issn.1671-1122.2016.01.005

基于GHZ态的三粒子纠缠态量子信息共享研究

郭伟¹, 谢淑翠², 张建中¹(), 杜红珍³

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

收稿日期:2015-11-16 出版日期:2016-01-01 发布日期:2020-05-13
作者简介:
作者简介：郭伟（1990-）,男,山西,硕士研究生,主要研究方向为量子信息安全;谢淑翠（1963-）,女,陕西,教授,硕士,主要研究方向为量子密码学;张建中（1960-）,男,陕西,教授,博士,主要研究方向为量子密码学和量子信息安全;杜红珍（1978-）,女,陕西,副教授,博士,主要研究方向为公钥密码学和量子密码学。
基金资助:
基金项目：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]

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

Wei GUO¹, Shucui XIE², Jianzhong ZHANG¹(), Hongzhen DU³

1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an Shaanxi 710119, China
2. School of Science, Xi'an University of Posts and Telecommunications, Xi’an Shaanxi 710119, China
3. Mathematics Department, Baoji University of Art and Science, Baoji Shaanxi 721007, China

Received:2015-11-16 Online:2016-01-01 Published:2020-05-13

摘要/Abstract

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。

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

Abstract:

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 controlled-NOT (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.

Key words: quantum communication, CNOT gate, unitary transformation, computation basis measurement, quantum circuit model

中图分类号:

TP309

郭伟, 谢淑翠, 张建中, 杜红珍. 基于GHZ态的三粒子纠缠态量子信息共享研究[J]. 信息网络安全, 2016, 16(1): 24-28.

Wei GUO, Shucui XIE, Jianzhong ZHANG, Hongzhen DU. Research on Quantum Information Sharing of a Three-particle Entangled State via a GHZ State[J]. Netinfo Security, 2016, 16(1): 24-28.

图/表 5

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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

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