近似自正交准扭转码及其相关量子码的特征
量子物理
2024-12-30 v2 信息论
math.IT
摘要
准扭转码在此用作所谓 Construction X 用于量子误差控制码的经典材料。该构造利用近似自正交码来设计量子稳压器码。我们将内积的选择范围扩展到包括辛乘积和迹-辛乘积，除原始的 Hermitian 乘积之外。建立了结果量子码最小距离的细化下界并进行了说明。我们报告了大量破纪录的量子码，这些量子码来自我们针对纳入更新在线数据库的随机搜索。
关键词
引用
@article{arxiv.2405.15057,
title = {Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes},
author = {Martianus Frederic Ezerman and Markus Grassl and San Ling and Ferruh Özbudak and Buket Özkaya},
journal= {arXiv preprint arXiv:2405.15057},
year = {2024}
}
备注
18 pages, 8 tables; see also http://codetables.de This work has been submitted to the IEEE for possible publication; v2: corrected some typos, considerably expanded the tables with new quantum codes