Estimates for BER of error correcting on finite quantum key

Abstract

Abstract: Based on the parameters of posterior distribution of BER (Bit Error Rate) regarding parity check-Hamming correction protocol,the BER and its confidence interval of the remaining quantum keys are directly estimated. In experiment,instead of the raw quantum keys,we use two pseudo-random binary sequences which have the length of 1.4×10-7 and the BER follow binomial distribution.The Error correction process utilizes the parity code and Hamming code for error detection and correction respectively.The experimental results showed that: when the initial bit error rate at 3% and 0.1%,by one time error detection and error correction, the BER falls to 2.47×10-3 and 1.43×10-7 respectively, when the confidence at 95%, the corresponding upper limit of BER at 2.77×10-3 and 10.57×10-7 respectively. These experimental results effectively assessed parity - Hamming error correction performance on the finite quantum keys,and provided reliable data for the post-processing in the quantum key distribution.

Key words: quantum optics, BER estimating, data simulation, data post-processing

CLC Number:

TN91

ZHAO Feng, JING Min-ying, LI Jing-ling, ZHANG Wen-li. Estimates for BER of error correcting on finite quantum key[J]. J4, 2014, 31(2): 167-172.

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