论文标题

关于从遗传学自我实行代码构建量子代码的构建的概括

On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes

论文作者

Galindo, Carlos, Hernando, Fernando

论文摘要

许多$ Q $ - ARY稳定器量子代码可以通过Hermitian自动式$ Q^2 $ - ARY线性代码构建。可以将此结果推广到$ q^{2 m} $ - ARY线性代码,$ m> 1 $。我们给出了轻松从该概括获得量子代码的结果。结果,我们提供了几种新的二进制稳定器量子代码,这些代码是根据\ cite {codet}和新的$ q $ - yar的记录,其中包括$ q \ neq 2 $,可改善文献中的其他人。

Many $q$-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal $q^2$-ary linear codes. This result can be generalized to $q^{2 m}$-ary linear codes, $m > 1$. We give a result for easily obtaining quantum codes from that generalization. As a consequence we provide several new binary stabilizer quantum codes which are records according to \cite{codet} and new $q$-ary ones, with $q \neq 2$, improving others in the literature.

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