Two new families of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes

被引：48
作者：
Luo, Gaojun [1 ]
Cao, Xiwang [1 ,2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211100, Jiangsu, Peoples R China
[2] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2019年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Hull; Generalized Reed-Solomon code; Entanglement-assisted quantum error-correcting code (EAQECC);
D O I：
10.1007/s11128-019-2207-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Entanglement-assisted quantum error-correcting codes (EAQECCs) make use of preexisting entanglement between the sender and receiver to boost the rate of transmission. It is possible to construct an EAQECC by any classical linear code. In this paper, we propose two constructions of generalized Reed-Solomon codes and calculate the dimension of their hulls. With these generalized Reed-Solomon codes, we present two new infinite families of EAQECCs, which are optimal with respect to the Singleton bound for EAQECCs. Notably, the parameters of our EAQECCs are new and flexible.
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页数：12
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