Quantum Secret Sharing Based on GHZ States Local Measurements

SONG Yun

doi:10.3969/j.issn.0372-2112.2019.07.007

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Quantum Secret Sharing Based on GHZ States Local Measurements

更新时间：2025-07-16

- Quantum Secret Sharing Based on GHZ States Local Measurements
- Acta Electronica Sinica Vol. 47, Issue 7, Pages: 1443-1448(2019)
- 作者机构：
  
  1. 陕西师范大学计算机科学学院,陕西,西安,710062
  2. 陕西师范大学计算机科学学院,陕西,西安,710062
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61602291, No.11671244, No.61802241);China Postdoctoral Science Foundation (No.2018M633456);China Scholarship Council (No.201806875032);Natural Science Basic Research Program of Shaanxi Province (No.2019JQ-472)
- DOI：10.3969/j.issn.0372-2112.2019.07.007
  CLC： TP309
- Published Online：25 July 2019，
  
  Published：2019
- 稿件说明：
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SONG Yun. Quantum Secret Sharing Based on GHZ States Local Measurements[J]. Acta Electronica Sinica, 2019, 47(7): 1443-1448.
DOI：

SONG Yun. Quantum Secret Sharing Based on GHZ States Local Measurements[J]. Acta Electronica Sinica, 2019, 47(7): 1443-1448. DOI： 10.3969/j.issn.0372-2112.2019.07.007.

摘要

提出了一个基于GHZ态局域测量的新颖且高效的量子秘密共享方案.该方案充分利用了GHZ态3个粒子间的相关性，不需要进行任何酉操作或纠缠交换，只通过局域测量，就可在通信者之间建立共享联合密钥.除去用于窃听检测的粒子，其余粒子全部用于消息传输，每个GHZ态可以共享一个比特经典消息，效率达到100%.同时，对于可能存在的攻击方式，文中给出了详细的安全性证明.最后，建立了效率与安全的关系模型，并用MATLAB进行了比较深入的仿真分析.

Abstract

This paper proposes a novel quantum secret sharing(QSS)scheme based on quantum correlations among three particles in a GHZ state. Without any unitary operation or entanglement swapping

receivers can obtain the joint key by using local measurements of photons. Except a few particles which is used to check the security of quantum channel

every GHZ state can be used to share 1 bit of information. The total efficiency of the scheme approaches 100%. Taking all possible attacks into account

the security proofs are detailed. We finally establish a mathematical model about the efficiency and security of the scheme and perform simulation analyses with different parameters using MATLAB.

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