六类纠缠辅助量子MDS码的构造
Constructions of Six Classes of Entanglement-Assisted Quantum MDS Codes
摘要: 纠缠辅助量子码利用发送器和接收器之间预先存在的纠缠来提高信息速率。本文通过刻画常循环码纠缠态的数量与定义集大小的关系，构造了六类纠缠辅助量子MDS码。
Abstract: Entanglement-assisted quantum error-correcting codes make use of preexisting entanglement between the sender and receiver to improve information rate. In this paper, we obtain six classes of entanglement-assisted quantum MDS codes by means of characterizing the relationship between the number of entangled states and the size of defining set of constacyclic codes.
文章引用：张琳雪, 唐西林. 六类纠缠辅助量子MDS码的构造[J]. 理论数学, 2019, 9(5): 653-663. https://doi.org/10.12677/PM.2019.95087

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