Stabilizer Inactivation for Message-Passing Decoding of Quantum LDPC Codes

Stabilizer Inactivation for Message-Passing Decoding of Quantum LDPC Codes
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量子 LDPC 码消息传递解码的稳定器失活

DOI:
10.1109/itw54588.2022.9965902
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发表时间:
2022
期刊:
2022 IEEE Information Theory Workshop (ITW)
影响因子:
--
通讯作者:
V. Savin
V. Savin
中科院分区:
--
文献类型:
--
作者:
Julien du Crest;M. Mhalla;V. Savin

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我们提出了一种用于通话的后处理方法(MP)解码CSS量子LDPC代码,称为稳定器灭活(SI)。它依赖于灭活一组Qubit,支持双重代码中的检查,然后再次运行MP解码。这使得MP解码可以在灭活的Qubits集合外收敛,而这些误差是通过求解小的恒定大小(线性系统)来确定的。与基于有序统计解码(OSD)的最新后处理方法相比,我们通过数值模拟显示,MP-SI优于不同量子LDPC代码构建体MP-OSD,不同的MP解码算法和不同的MP调度策略,同时显着降低了复杂性。
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.
平衡乘积量子码
DOI: 10.1109/tit.2021.3097347
发表时间: 2021
影响因子: 2.5
作者:
Nikolas Peter Breuckmann;Jens Eberhardt
通讯作者: Jens Eberhardt