物理学报2011，Vol.60Issue(3)：68-74,7.
针对X-Z型Pauli信道的量子稀疏图码的反馈式和积译码算法
Feedback sum-product decoding of sparse quantum codes for X-Z Pauli channels
摘要
Abstract
In this paper, a feedback sum-product decoding algorithm of sparse quantum codes for X-Z Pauli channels is developed. Compared with the previous decoding algorithm, our feedback strategy exploits not just the syndrome but also the values of the frustrated checks on individual qubits of the code and the character of the channel model with the portion of each error to adjust the probability distribution of information nodes. Due to the smart adjustment, our decoding algorithm, on one hand, can break the symmetric degeneracy, and on the other hand, can feed back more useful information to the SPA decoder to help the decoder determine a valid output, thereby significantly improving the decoding ability of the decoder. Moreover, our algorithm, which is based on GF(4), overcomes the limitation caused by decoding in GF(2). Finally, we want to point out that, our method does not increase the measurement overhead in comparison wioth the previous methods, as the extra information comes for free from the requisite stabilizer measurement.关键词
量子稀疏图码/和积算法/量子纠错码/量子信息Key words
sparse quantum codes/ sum-product algorithm/ quantum error-correcting codes/ quantum information引用本文复制引用
王云江,白宝明,彭进业,王新梅..针对X-Z型Pauli信道的量子稀疏图码的反馈式和积译码算法[J].物理学报,2011,60(3):68-74,7.基金项目
国家重点基础研究发展计划(973计划)(批准号:2010CB328300),国家预研项目(纠缠量子编码调制技术),国家自然科学基金委员会-广东省联合基金(批准号:U0635003),111基地项目(批准号:B08038)、国家留学基金委员会国家公派专项研究生奖学金项目(批准号:[2008]3019)资助的课题. （973计划）
