论文标题

基于伪docodeword的量子颜色代码的解码

Pseudocodeword-based Decoding of Quantum Color Codes

论文作者

Li, July X., Renes, Joseph M., Vontobel, Pascal O.

论文摘要

在以前的工作中,我们已经表明,伪dobodewords不仅可以用经典代码,而且还用于量子稳定器代码来表征解码器的行为。通过从该伪越野的分析中获得的见解,我们还基于伪循环代码引入了一个两阶段解码器,从而导致了解码性能的改善。在本文中,我们考虑了量子(稳定器)颜色代码,并提出了一个两阶段解码器,该解码器是基于伪docodeword的解码器用于量子循环代码的概括。与以前的这些类型的代码相比,我们的解码器仅具有低计算复杂性和更好的解码性能的局部或错误依赖性操作。

In previous work, we have shown that pseudocodewords can be used to characterize the behavior of decoders not only for classical codes but also for quantum stabilizer codes. With the insights obtained from this pseudocodewords-based analysis, we have also introduced a two-stage decoder based on pseudocodewords for quantum cycle codes that leads to improved decoding performance. In this paper, we consider quantum (stabilizer) color codes and propose a two-stage decoder that is a generalization of the pseudocodeword-based decoder for quantum cycle codes. Our decoder has only local or error-weight-dependent operations of low computational complexity and better decoding performance compared with previous decoding approaches for these types of codes.

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