基于欧式几何量子LDPC码的构造

Construction of LDPC Codes Based on European Geometric Quantum

量子纠错码是克服量子消相干的一种有效手段,为了纠正或防止量子错误发生,采用量子编码手段。低密度奇偶校验码是经典通信中最佳的编码技术之一,利用欧式几何法构造经典准循环低密度奇偶校验码,结合Steane构造法,从而获得相应的量子低密度奇偶校验码也是最佳的研究热点。对新构造的量子码[2550,1066,≥6]采用置信传播迭代译码算法进行译码,在仅考虑比特翻转信道下对该量子码进行性能分析,仿真结果表明,在一定的比特翻转概率之后,构造的量子码比相应的经典码具有更好的性能。

Quantum error.correction code is an effective method to overcome the quantum decoherence.To correct or prevent the occurrence of quantum errors,the quantum coding means is used.Low-density parity-check code is one of the best coding techniques in classic communication,so we proposed a method to construct the classical quasi-cyclic low-density parity-check code using the Euclidean geometry method,and the corresponding quantum low-density parity-check codes were obtained by combining with the Steane construction method.This is also the best research hotspot.The new construction of the quantum codes[2550,1066,>16]used Belief Propagation iterative de-coding algorithm to decode,and its performance was analyzed under the bit-flipping channel.The simulation results show that the constructed quantum code has better performance than the corresponding classical code after a certain bit flip probability.