We propose a post-processing method for message-passing (MP) decoding of CSS quantum LDPC codes, called stabilizer-inactivation (SI). It relies on inactivating a set of qubits, supporting a check in the dual code, and then running the MP decoding again. This allows MP decoding to converge outside the inactivated set of qubits, while the error on these is determined by solving a small, constant size, linear system. Compared to the state of the art post-processing method based on ordered statistics decoding (OSD), we show through numerical simulations that MP-SI outperforms MP-OSD for different quantum LDPC code constructions, different MP decoding algorithms, and different MP scheduling strategies, while having a significantly reduced complexity.

翻译：本文提出一种针对CSS量子LDPC码消息传递(MP)译码的后处理方法，称为稳定子去活(SI)技术。该方法通过去活一组支持对偶码校验的量子比特，并重新执行MP译码，使得MP译码能在去活量子比特集合之外收敛，同时通过求解一个小规模常系数线性方程组确定该集合上的错误。与基于有序统计译码(OSD)的现有最优后处理方法相比，数值仿真表明：对于不同量子LDPC码构造、不同MP译码算法及不同MP调度策略，MP-SI均优于MP-OSD，且具有显著更低的计算复杂度。