CONSTRUCTING NEW <i>Q</i>-RAY QUANTUM MDS CODES WITH DISTANCES BIGGER THAN <i>q</i>/2 FROM GENERATOR MATRICES

作     者：He, Xianmang 

作者机构：Dongguan Univ Technol Sch Comp Network & Secur Dongguan 523808 Guangdong Peoples R China 

出 版 物：《QUANTUM INFORMATION & COMPUTATION》 (Quantum Inf. Comput.)

年 卷 期：2018年第18卷第3-4期

页      面：223-230页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：NSFC [61672302  U1509213] 

主　　题：Quantum MDS code Hermitian self-orthogonal code Generalized Reed-Solomon code 

摘      要：The construction of quantum error-correcting codes has been an active field of quantum information theory since the publication of [1, 2, 3]. It is becoming more and more difficult to construct some new quantum MDS codes with large minimum distance. In this paper, based on the approach developed in the paper [4], we construct several new classes of quantum MDS codes. The quantum MDS codes exhibited here have not been constructed before and the distance parameters are bigger than q/2.