Low-loss belief propagation decoder with Tanner graph in quantum error-correction codes  

作　　者：Dan-Dan Yan Xing-Kui Fan Zhen-Yu Chen Hong-Yang Ma 颜丹丹;范兴奎;陈祯羽;马鸿洋(School of Sciences,Qingdao University of Technology,Qingdao 266033,China)

机构地区：[1]School of Sciences,Qingdao University of Technology,Qingdao 266033,China

出　　处：《Chinese Physics B》2022年第1期143-149,共7页中国物理B（英文版）

基　　金：the National Natural Science Foundation of China(Grant Nos.11975132 and 61772295);the Natural Science Foundation of Shandong Province,China(Grant No.ZR2019YQ01);the Higher Education Science and Technology Program of Shandong Province,China(Grant No.J18KZ012).

摘　　要：Quantum error-correction codes are immeasurable resources for quantum computing and quantum communication.However,the existing decoders are generally incapable of checking node duplication of belief propagation(BP)on quantum low-density parity check(QLDPC)codes.Based on the probability theory in the machine learning,mathematical statistics and topological structure,a GF(4)(the Galois field is abbreviated as GF)augmented model BP decoder with Tanner graph is designed.The problem of repeated check nodes can be solved by this decoder.In simulation,when the random perturbation strength p=0.0115-0.0116 and number of attempts N=60-70,the highest decoding efficiency of the augmented model BP decoder is obtained,and the low-loss frame error rate(FER)decreases to 7.1975×10^(-5).Hence,we design a novel augmented model decoder to compare the relationship between GF(2)and GF(4)for quantum code[[450,200]]on the depolarization channel.It can be verified that the proposed decoder provides the widely application range,and the decoding performance is better in QLDPC codes.

关 键 词：tanner graph belief propagation decoder augmented model fourier transform 

分 类 号：O413[理学—理论物理] TN918[理学—物理]