Quantum Codes Derived From Certain Classes of Polynomials

被引：13
|
作者：
Zhang, Tao [1 ,2 ]
Ge, Gennian [1 ,3 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
[3] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2016年 / 62卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Quantum code; polynomial code; cyclotomic coset; LINEAR CODES; CONSTRUCTION;
D O I：
10.1109/TIT.2016.2612578
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
One central theme in quantum error-correction is to construct quantum codes that have a relatively large minimum distance. In this paper, we first present a construction of classical linear codes based on certain classes of polynomials. Through these classical linear codes, we are able to obtain some new quantum codes. It turns out that some of the quantum codes exhibited here have better parameters than the ones available in the literature.
引用
收藏
页码：6638 / 6643
页数：6
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