计算机科学技术学报 ›› 2021,Vol. 36 ›› Issue (1): 221-230.doi: 10.1007/s11390-020-9418-4

所属专题： Theory and Algorithms

• • 上一篇    

基于一维高元Cluster态可超密编码的通用性和一般性量子同时秘密分发

Zhi-Hao Liu and Han-Wu Chen   

  1. School of Computer Science and Engineering, Southeast University, Nanjing 211189, China Key Laboratory of Computer Network and Information Integration (Southeast University), Ministry of Education Nanjing 211189, China
  • 收稿日期:2019-01-22 修回日期:2020-12-04 出版日期:2021-01-05 发布日期:2021-01-23
  • 作者简介:Zhi-Hao Liu received his Ph.D. degree in computer software and theory from Southeast University, Nanjing, in 2013. He currently is an associate professor in School of Computer Science and Engineering, Southeast University, Nanjing. His current research interests include quantum cryptography, quantum information and quantum computation.
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China under Grant No. 61871120, the Natural Science Foundation of Jiangsu Province of China under Grant No. BK20191259, the Six Talent Peaks Project of Jiangsu Province of China under Grant No. XYDXX-003, and the Fundamental Research Funds for the Central Universities of China under Grant No. 2242020K40046.

Universal and General Quantum Simultaneous Secret Distribution with Dense Coding by Using One-Dimensional High-Level Cluster States

Zhi-Hao Liu and Han-Wu Chen        

  1. School of Computer Science and Engineering, Southeast University, Nanjing 211189, China Key Laboratory of Computer Network and Information Integration (Southeast University), Ministry of Education Nanjing 211189, China
  • Received:2019-01-22 Revised:2020-12-04 Online:2021-01-05 Published:2021-01-23
  • About author:Zhi-Hao Liu received his Ph.D. degree in computer software and theory from Southeast University, Nanjing, in 2013. He currently is an associate professor in School of Computer Science and Engineering, Southeast University, Nanjing. His current research interests include quantum cryptography, quantum information and quantum computation.
  • Supported by:
    This work was supported by the National Natural Science Foundation of China under Grant No. 61871120, the Natural Science Foundation of Jiangsu Province of China under Grant No. BK20191259, the Six Talent Peaks Project of Jiangsu Province of China under Grant No. XYDXX-003, and the Fundamental Research Funds for the Central Universities of China under Grant No. 2242020K40046.

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补充材料

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1、研究背景(context)。
基于量子特性的安全通信具有理论上无条件安全性,是当前相关工作者研究的热点方向,它具有广泛的应用潜力。现在相关学者提出了很多量子安全通信协议,获得了不少理论成果。但是,人们对于一种新的安全通信模式——方同时向多方发送不同的秘密信息考虑甚少。
2、目的(Objective):准确描述该研究的目的,说明提出问题的缘由,表明研究的范围和重要性。本文目的在于如何利用量子态的性质解决一方向多方同时发送不同多值经典秘密信息的问题,拓展量子安全通信方式,提供相关理论结果。
3、方法(Method):简要说明研究课题的基本设计,结论是如何得到的。本文在充分分析量子一维多元cluster态性质的基础上,采用量子密度编码思想,提出一种新型量子安全通信协议——具有通用性和一般性的量子同时秘密分发协议;提出一种新型的窃听检测方法和一种新型攻击方法——般个体攻击。4
、结果(Result & Findings):简要列出该研究的主要结果,有什么新发现,说明其价值和局限。叙述要具体、准确,尽量给出量化数据而不只是定性描述,并给出结果的置信值(如果有)。基于量子一维多元cluster态性质,提出具有通用性和一般性的量子同时秘密分发协议,解决了一方同时向不同接收方发送不同多值经典信息的问题。分析表明传统的量子密码攻击的一般个体攻击的特例。提出的新型窃听检测方法能有效防止传统攻击和一般个体攻击。如将该量子同时秘密分发协议稍加改动,可以得到多方量子秘密报告(多方量子秘密提交)协议。
5、结论(Conclusions):简要地说明经验,论证取得的正确观点及理论价值或应用价值,是否还有与此有关的其它问题有待进一步研究,是否可推广应用,其应用价值如何? 结果表明所提出的具有通用性和一般性的量子同时秘密分发协议解决了一方向多方同时发送不同多值经典秘密信息的问题,该安全通信模式是一种新型通信模式,具有一定理论价值和潜在应用场景。协议需要利用量子一维高元cluster态,如将之推广应用,需进一步研究如何在实验上制备和测量这种量子态以及实现高元单粒子测量等。

关键词: 量子同时秘密分发, 多方量子秘密报告, 量子同时秘密提交, 量子秘密共享, 量子广播通信

Abstract: A universal and general quantum simultaneous secret distribution (QSSD) protocol is put forward based on the properties of the one-dimensional high-level cluster states, in which one sender dispatches different high-level classical secret messages to many users at the same time. Due to the idea of quantum dense coding, the sender can send different two-dit classical messages (two d-level classical numbers) to different receivers simultaneously by using a one-dimensional d-level cluster state, which means that the information capacity is up to the maximal. To estimate the security of quantum channels, a new eavesdropping check strategy is put forward. Meanwhile, a new attack model, the general individual attack is proposed and analyzed. It is shown that the new eavesdropping check strategy can effectively prevent the traditional attacks including the general individual attack. In addition, multiparty quantum secret report (MQSR, the same as quantum simultaneous secret submission (QSSS)) in which different users submit their different messages to one user simultaneously can be gotten if the QSSD protocol is changed a little.

Key words: quantum simultaneous secret distribution (QSSD), multiparty quantum secret report (MQSR), quantum simultaneous secret submission (QSSS), quantum secret sharing, quantum broadcast communication

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