相位匹配量子密钥分发协议统计波动分析  

StatisticaL Fluctuation Analysis for Phase Matching Quantum Key Distribution

作　　者：周江平[1] 周媛媛[1] 周学军[1] 聂宁 ZHOU Jiangping;ZHOU Yuanyuan;ZHOU Xuejun;NIE Ning(College of Electronic Engineering,Naval University of Engineering,Wuhan 430000)

机构地区：[1]海军工程大学电子工程学院,武汉430000

出　　处：《电子科技大学学报》2023年第2期168-174,共7页Journal of University of Electronic Science and Technology of China

摘　　要：相位匹配协议是双场量子密钥分发协议的一种,能突破密钥容量限制且安全性得到了理论和实践的证明。针对实际应用中数据有限长效应产生的不良影响,系统地分析了相位匹配协议统计波动性能;利用高斯分析和切诺夫−霍夫丁界等统计波动分析方法,结合线性规划对相关参数进行估计,分别对不同数据长度情况下三诱骗态及二诱骗态相位匹配协议的性能进行了仿真分析。仿真结果表明:考虑统计波动的相位匹配协议仍能突破线性密钥容量的限制,在数据长度达到10^(16)量级时,密钥生成率和最大安全传输距离均接近理想值;在数据长度小于等于10^(13)时,增加诱骗态并不能显著提升相位匹配协议性能;随着数据长度的增加,采用切诺夫−霍夫丁界系统性能逐渐趋近采用高斯分析法的系统性能。The phase matching protocol,which can break through the limitation of key capacity and has been proved by theory and practice,is a kind of twin-field quantum key distribution protocol.Aiming at the adverse effects of the finite data length effect in practical applications,the statistical fluctuation performance of the phase matching protocol is systematically analyzed.Using Gaussian analysis,Chernoff-Hoeffding bounds,and other statistical fluctuation analysis methods,the performances of the three-decoy and two-decoy phase matching protocols under different data lengths were simulated and analyzed combined with linear programming to estimate the relevant parameters.The simulation results show that the phase matching protocol considering statistical fluctuation can still break through the limitation of linear key capacity.When the data length reaches the order of 10^(16),the key generation rate and the maximum secure transmission distance are both close to ideal values.When the data length is less than or equal to 10^(13),adding decoy states cannot significantly improve the performance of the phase-matching protocol.As the data length increases,the performance of the system using the Chernoff-Hoeffding bound gradually approaches the performance of the system using the Gaussian analysis method.

关 键 词：诱骗态 相位匹配协议 量子密钥分发 量子光学 统计波动 

分 类 号：O431.2[机械工程—光学工程]