基于旋转不变态的测量设备无关量子密钥分配协议研究

东晨; 赵尚弘; 董毅; 赵卫虎; 赵静

doi:10.7498/aps.63.170303

摘要

本文提出了一种基于旋转不变态的偏振无关测量设备量子密钥分配协议，既适用于偏振编码测量设备无关量子密钥分配系统，也应用于相位编码测量设备无关量子密钥分配系统的相干过程. 通过在线偏振基进入信道传输前嵌入2块q玻片，使得在传输过程中将线偏振基转化为旋转不变的圆偏振基，而第三方对接收到的脉冲进行Bell态测量前，利用q玻片的算符可逆性，将圆偏振基还原为线偏振基进行测量，可以有效消除信道传输中偏振旋转导致的误码. 本文分析了偏振无关的三诱骗态测量设备无关量子密钥分配系统的误码率，研究了密钥生成率与安全传输距离的关系，仿真结果表明，对于偏振编码测量设备无关量子密钥分配系统，该协议可以有效提高系统的最大安全通信距离，为实用的量子密钥分配实验提供了重要的理论参数.

关键词:

Abstract

The original measurement of device-independent(MDI)quantum key distribution(QKD) is reviewed, and a modified protocol using rotation-invariant photonic state is proposed. Initial encoding and final decoding of information in our MDI-QKD implementation protocol can be conveniently performed in the polarization space, while the transmission is done in the rotation-invariant hybrid space. Our analysis indicates that both the secure key rate and transmission distance can be improved by our modified protocol owing to its lower error rate. Furthermore, our hybrid polarization-OAM qubits approach only needs to insert four q-plates in a practical experiment, and our simulation results show that the modified protocol is practical.

Keywords:

rotation invariant photonic state /
polarization independent /
measurement device-independent quantum key distribution

作者及机构信息

1.
空军工程大学信息与导航学院, 西安 710077;

2.
西安通信学院信息安全系, 西安 710006

基金项目: 国家自然科学基金（批准号：61106068）资助的课题.

Authors and contacts

1.
school of Information and Navigation, Air Force Engineering University, Xi'an 710077, China;

2.
Department of information security, Xi'an Communication College, Xi'an 710006, China

Funds: Project supported by the National Natural Science Foundation of China(Grant No. 61106068).

参考文献

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施引文献

[1]	Bennet C H Brassard G 1984 Proc IEEE International Conference Computers, Systems, and Signal Processing Bangalore, India, December 9-12, 1984, p175-179
[2]	Shor P W, Preskill J 2000 Phys. Rev. Lett. 85 441
[3]
[4]
[5]	Mayers D 2001 Journal of the ACM. 48 351
[6]
[7]	Gottesman D, Lo K H, Lutkenhaus N, Preskill J 2004 Quantum Infor. Comput. 4 325-360
[8]
[9]	Zhou Y Y, Zhou X T, Tian P G, Wang Y J 2013 Chin.it Phys. B 22 010305
[10]	Sheng Y B, Zhou L, Cheng W W, Gong L Y, Wang L, Zhan S M 2013 Chin. Phys. B 22 030314
[11]
[12]	Jiao R Z, Zhang W H 2009 Acta Phys. Sin. 58 2189 (in Chinese)[焦荣珍, 张文瀚 2009 物理学报 58 2189]
[13]
[14]
[15]	Dong C, Zhao S H, Zhao W H, Shi L, Dong Y 2014 Acta Phys. Sin. 63 030302 (in Chinese)[东晨, 赵尚弘, 赵卫虎, 石磊, 董毅 2014 物理学报 63 030302]
[16]	Wang J D, Qin X J, Wei Z J, Liu X B, Liao C J, Liu S H 2010 Acta Phys. Sin. 59 281 (in Chinese)[王金东, 秦晓娟, 魏正军, 刘小宝, 廖常俊, 刘颂豪 2010 物理学报 59 281]
[17]
[18]
[19]	H K Lo, M Curty, B Qi 2012 Phys. Rev. Lett. 108 130503
[20]	Hwang W Y 2003 Phys. Rev. Lett. 91 057901
[21]
[22]	Ma X F, Fung C H F, Razavi M 2012 Phys. Rev. A 86 052305
[23]
[24]
[25]	Wang X B 2013 Phys. Rev. A 87 012320
[26]
[27]	Sun S H, Gao M, Li C Y, Liang L M 2013 Phys. Rev. A. 87 052329
[28]
[29]	Liu Y, Chen T Y, Wang L J, Lao H, Shentu G L, Wian J, Cui K, Yin H L, Liu N L, Li L, Ma X F, Pele J S, Fejer M M, Zhang Q, Pan J W 2013 Phys. Rev. Lett. 111 130502
[30]
[31]	Tang Z, Liao Z, Xu F, Qi B, Qian L, Lo H K 2013 arXiv:13066134
[32]	Tang Z L, Li M, Wei Z J, Lu F, Liao C J, Liu S H 2005 Acta Phys. Sin. 54 2534 (in Chinese)[唐志列, 李铭, 魏正军, 卢非, 廖常俊, 刘颂豪 2005 物理学报 54 2534]
[33]
[34]
[35]	Piccirillo B, Dambrosio V, Slussarenko S, Marrucci L, Santamato E 2010 Appl. Phys. Lett. 97 241104
[36]	Slussarenko S, Murauski A, Du T, Marrucci L, Santamato E 2011 Opt. Exp. 19 4085
[37]
[38]	Xu F H, Curty M, Qi B, Lo H K 2013 New J. of Phys. 15 113007
[39]
[40]
[41]	Ma X F, Razavi M 2012 Phys. Rev. A 86 062319

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