近自正交拟扭曲码及相关量子码的表征

IF 2.2 3区计算机科学 Q3 COMPUTER SCIENCE, INFORMATION SYSTEMS

IEEE Transactions on Information Theory Pub Date : 2024-11-25 DOI:10.1109/TIT.2024.3503420

Martianus Frederic Ezerman;Markus Grassl;San Ling;Ferruh Özbudak;Buket Özkaya

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引用次数: 0

摘要

准扭曲码在这里被用作量子错误控制码的所谓构造X中的经典成分。该结构利用近自正交码来设计量子稳定码。我们扩展了内积的选择，除了原来的厄米内积外，还包括辛内积和迹辛内积。建立并说明了所得量子码的最小距离的精细化下界。我们报告了许多打破记录的量子代码，我们随机搜索包含在更新的在线数据库中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes

Quasi-twisted codes are used here as the classical ingredients in the so-called Construction X for quantum error-control codes. The construction utilizes nearly self-orthogonal codes to design quantum stabilizer codes. We expand the choices of the inner product to also cover the symplectic and trace-symplectic inner products, in addition to the original Hermitian one. A refined lower bound on the minimum distance of the resulting quantum codes is established and illustrated. We report numerous record breaking quantum codes from our randomized search for inclusion in the updated online database.

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来源期刊

IEEE Transactions on Information Theory 工程技术-工程：电子与电气

CiteScore

5.70

自引率

20.00%

发文量

514

审稿时长

12 months

期刊介绍： The IEEE Transactions on Information Theory is a journal that publishes theoretical and experimental papers concerned with the transmission, processing, and utilization of information. The boundaries of acceptable subject matter are intentionally not sharply delimited. Rather, it is hoped that as the focus of research activity changes, a flexible policy will permit this Transactions to follow suit. Current appropriate topics are best reflected by recent Tables of Contents; they are summarized in the titles of editorial areas that appear on the inside front cover.