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中文摘要：
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MonteCarlo仿真．与现有同等参数的二元量子LDPC码相比，误帧率10^-5时的信道转移概率闯值由0．016提高到0．025．
英文摘要：
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.
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Comparisons Between Reliability-Based Iterative Min-Sum and Majority-Logic Decoding Algorithms for L
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