基于射影几何的新型量子低密度奇偶校验码。

New quantum LDPC codes based on projective geometry.

作者信息

Tang Chuchen, Bai Chenming, Feng Ya'nan

机构信息

Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, Hebei, People's Republic of China.

出版信息

Sci Rep. 2024 Jul 23;14(1):17014. doi: 10.1038/s41598-024-67786-0.

DOI:10.1038/s41598-024-67786-0

PMID:39043867

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11266422/

Abstract

With the progress in techniques for correcting errors in quantum computing, quantum low density parity check (QLDPC) codes have gained increasing significance within the field of quantum error correction. This paper focuses on different strategies for the construction of QLDPC codes, which are based on all points and lines as well as partial points and lines from projective geometry. Finally, a series of simulation analyses are presented.

摘要

随着量子计算中纠错技术的进步，量子低密度奇偶校验（QLDPC）码在量子纠错领域的重要性日益凸显。本文重点关注基于射影几何中的所有点和线以及部分点和线来构造QLDPC码的不同策略。最后，给出了一系列仿真分析。