Performance of an Improved One-Way Error Reconciliation Protocol Based on Key Redistribution
Performance of an Improved One-Way Error Reconciliation Protocol Based on Key Redistribution
复制标题
DOI：
10.1109/cc.2014.6879004
复制
发表时间：
2014-06-01
影响因子：
4.1
通讯作者：
Li Jingling
中科院分区：
文献类型：
--
作者：
Zhao Feng;Li Jingling
在量子密钥分配的数据后处理中，高效的差错协调协议是必不可少的。基于密钥重分配方案，对一个单向差错协调协议进行了数据仿真分析。论证了三种汉明码的纠错能力与密钥生成效率之间的关系。仿真结果表明，当初始误码率为（0，1.5，4%]和（4，11%]时，分别采用Hamming（31，26），（15，11）和（7，4）码纠错，密钥生成率最大。在此基础上，我们提出了一种改进的单向错误协调协议，它采用了混合汉明码级联方案。通过数据仿真验证了算法的纠错能力和密钥生成率。利用基于测试数据的后验分布的参数，给出了一种在给定置信区间下估计误码率的简单方法。仿真结果表明，当初始误码率为10.00%时，经过7轮纠错，错误比特被完全消除，密钥生成率为10.36%，BER期望值为2.96 × 10-（10），置信度为95%时对应的BER上限为2.17 × 10-（-9）。相比之下，对于置信度为95%的单（7，4）汉明码错误协调方案，密钥生成率仅为6.09%，而BER期望为5.92 × 10（-9），BER上限为4.34 × 10（-8）。因此，我们的改进协议是远远优于原来的。
In data post-processing for quantum key distribution, it is essential to have a highly efficient error reconciliation protocol. Based on the key redistribution scheme, we analyze a one-way error reconciliation protocol by data simulation. The relationship between the error correction capability and the key generation efficiency of three kinds of Hamming code are demonstrated. The simulation results indicate that when the initial error rates are (0,1.5%], (1.5,4%], and (4,11%], using the Hamming (31,26), (15,11), and (7,4) codes to correct the error, respectively, the key generation rate will be maximized. Based on this, we propose a modified one-way error reconciliation protocol which employs a mixed Hamming code concatenation scheme. The error correction capability and key generation rate are verified through data simulation. Using the parameters of the posterior distribution based on the tested data, a simple method for estimating the bit error rate (BER) with a given confidence interval is estimated. The simulation results show that when the initial bit error rate is 10.00%, after 7 rounds of error correction, the error bits are eliminated completely, and the key generation rate is 10.36%; the BER expectation is 2.96x10-(10), and when the confidence is 95% the corresponding BER upper limit is 2.17x10(-9). By comparison, for the single (7,4) Hamming code error reconciliation scheme at a confidence of 95%, the key generation rate is only 6.09%, while the BER expectation is 5.92x10(-9), with a BER upper limit of 4.34x10(-8). Hence, our improved protocol is much better than the original one.