基于常循环码的纠缠辅助量子Maximum-Distance-Separable码的构造
Some New Families of Entanglement-Assisted Quantum Maximum-Distance-Separable Codes Constructed from Constacyclic Codes
刘航宇 1王立启1
作者信息
- 1. 合肥工业大学 数学学院,合肥 230601
- 折叠
摘要
纠缠辅助量子纠错码可以看作是经典量子纠错码的引申,其与经典量子纠错码的差别在于,如果发送者和接收者双方提前共享纠缠态,在不满足对偶包含的的情况下也可以由任意经典线性码构造出来.本文通过研究分圆陪集的结构性质,利用常循环码构造出几类新的具有较小预先共享纠缠态的纠缠辅助量子 Maximum-Distance-Separable(MDS)码.
Abstract
Entanglement-assisted quantum error-correcting codes can be seen as a new-type of quantum error-correcting codes,unlike quantum error-correcting codes,it can be constructed from arbitrary linear codes by utilizing shared entangled states between the sender and the receiver in advance,even if it does not satisfy the dual-containing condition.Based on the structural properties of cyclotomic cosets,some new classes of entanglement-assisted quantum maximum-distance-separable(MDS)codes are constructed from constacyclic codes by exploiting small pre-shared entangled states.
关键词
纠缠辅助量子纠错码/常循环码/分圆陪集/MDS码Key words
entanglement-assisted quantum error-correcting codes/constacyclic codes/cyclotomic coset/maximum-distance-separable codes引用本文复制引用
出版年
2024
NETL
NSTL
万方数据