l进t缺失校正量子码的构造

IEICE Trans. Fundam. Electron. Commun. Comput. Sci. Pub Date : 2021-02-08 DOI:10.1587/transfun.2021EAP1034

R. Matsumoto, M. Hagiwara

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引用次数: 2

摘要

为了保护量子信息，我们提出了两种系统的删除纠错码结构。第一种方法适用于任何维度的量数，这被称为“进数”，但只有一个删除被纠正，并且构造的代码是渐近坏的。第二种方法可以纠正多次删除，并能构造渐近良好的码。第二种还允许将基于稳定器的量子码转换为删除校正码和纠缠

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Constructios of l-adic t-deletion-correcting quantum codes

SUMMARY We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The ﬁrst one works with qudits of any dimension ‘ , which is re- ferred to as ‘ -adic, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one cor- rects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement

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IEICE Trans. Fundam. Electron. Commun. Comput. Sci.

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