摘要
基于多元稳定子理论,提出一类有限域上多元量子LDPC码的构造方法,在退极化信道模型下对多元量子码的BP译码算法进行了描述.举例构造了一类CSS结构、码率为1/2和1/4的四元量子LDPC码,并对其纠错性能进行了Monte Carlo仿真.与现有同等参数的二元量子LDPC码相比,误帧率10-5时的信道转移概率阈值由0.016提高到0.025.
Nonbinary quantum codes are more suitable for error-correction in multi-level quantum systems. Based on stabilizer formalism over the finite field, a class of nonbinary quantum LDPC codes is presented in this paper. And the BP iterative decoding algorithm for these codes is described under the quantum depolarizing channel with the Monte Carlo simulation method. For example, a class of CSS structure 4-ary quantum LDPC codes is given with code rates 1/2 and 1/4. Compared with the present binary quantum LDPC codes of equivalent codelength, the channel threshold with 10^-5 FER is improved from 0. 016 to 0. 025.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
2010年第6期1005-1010,共6页
Journal of Xidian University
基金
国家自然科学基金资助项目(60972046)
国家部委预研基金资助项目