基于图态和中国剩余定理的量子秘密共享方案

梁建武; 刘晓书; 程资

doi:10.11959/j.issn.1000-436x.2018220

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基于图态和中国剩余定理的量子秘密共享方案

学术论文 | 更新时间：2024-06-05

- 基于图态和中国剩余定理的量子秘密共享方案
- Quantum secret sharing with graph states based on Chinese remainder theorem
- 通信学报 2018年39卷第10期页码：72-78
- 作者机构：
  
  中南大学信息科学与工程学院，湖南长沙410083
- 作者简介：
  
  [ "梁建武（1964-），男，湖南长沙人，中南大学副教授，主要研究方向为量子通信和无线通信。" ]
  [ "刘晓书（1994-），女，湖南衡阳人，中南大学硕士生，主要研究方向为量子通信和无线通信。" ]
  [ "程资（1990-），女，河北晋州人，中南大学硕士生，主要研究方向为量子通信和无线通信。" ]
- 基金信息：
- DOI：10.11959/j.issn.1000-436x.2018220
  中图分类号： TN918.1
- 网络出版日期：2018-10，
  
  纸质出版日期：2018-10-25
- 稿件说明：
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梁建武, 刘晓书, 程资. 基于图态和中国剩余定理的量子秘密共享方案[J]. 通信学报, 2018,39(10):72-78.

Jianwu LIANG, Xiaoshu LIU, Zi CHENG. Quantum secret sharing with graph states based on Chinese remainder theorem[J]. Journal on communications, 2018, 39(10): 72-78.
梁建武, 刘晓书, 程资. 基于图态和中国剩余定理的量子秘密共享方案[J]. 通信学报, 2018,39(10):72-78. DOI： 10.11959/j.issn.1000-436x.2018220.

Jianwu LIANG, Xiaoshu LIU, Zi CHENG. Quantum secret sharing with graph states based on Chinese remainder theorem[J]. Journal on communications, 2018, 39(10): 72-78. DOI： 10.11959/j.issn.1000-436x.2018220.

摘要

受到量子图态几何结构和特性的启发，提出了一种基于图态和中国剩余定理的量子秘密共享方案。在该方案中，分发者在有限域内利用中国剩余定理分发秘密，秘密被编码到量子图态里并且通过酉正操作传送给合法参与者，合法参与者使用群恢复协议合作重建子秘密。该方案提供了一个简洁的方法，即通过使用纠缠图态的稳定子来传递信息，分析显示它能提供更好的信息安全性和性能。

Abstract

Based on the topological features of quantum graph states

a quantum secret sharing scheme based on Chinese remainder theorem with a vivid graphic description was proposed.The dealer extracts sub-secrets according to Chinese remainder theorem over finite field

which were imbedded with quantum graph states and transmitted to the legal participants with unitary operations.Group-recovery protocols were used in the secret recovering processing through rebuilding sub-secrets among legal cooperative participants.Analysis shows that it could provide better security and capability of the information.

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Keywords

references

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