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Some New Entanglement-Assisted Quantum Error-Correcting MDS Codes with Length q 2 + 1 13 $\frac {q^{2}+1}{13}$
International Journal of Theoretical Physics ( IF 1.3 ) Pub Date : 2021-04-22 , DOI: 10.1007/s10773-021-04803-2
Fuyin Tian , Shixin Zhu , Zhonghua Sun , Fulin Li

Entanglement-assisted quantum maximum distance separable (MDS) codes form a significant class of quantum codes. By using constacyclic codes, we construct some new classes of q-ary entanglement-assisted quantum error-correcting MDS codes. Most of these codes are new in the sense that their parameters are not covered by the codes available in the literature.



中文翻译:

长度为q 2 +1 1 13 $ \ frac {q ^ {2} +1} {13} $的一些新的纠缠辅助量子纠错MDS代码

纠缠辅助的量子最大距离可分离(MDS)码构成了重要的一类量子码。通过使用稳态代码,我们构造了一些新的q元纠缠辅助量子纠错MDS代码类。从文献中可用的代码未涵盖其参数的意义上讲,这些代码中的大多数都是新代码。

更新日期:2021-04-22
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