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J. Hefei Univ. Tech. (Nat. Sci.)

合肥工业大学学报(自然科学版)

JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY (NATURAL SCIENCE)

Competent Authorities: Ministry of Education of the People's Republic of China

Sponsor by: Hefei University of Technology

ISSN 1000-1646, CN 34-1001/N

On the construction of new optimal asymmetric quantum error-correcting codes

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新的最优非对称量子纠错码的构造

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Feb.2023, Vol.46 No.2: 285-288

DOI: 10.3969/j.issn.1003-5060.2023.02.022

Authors

SUN Qilin, WANG Liqi

(School of Mathematics, Hefei University of Technology, Hefei 230601, China)

Abstract and Keywords

Abstract: Asymmetric quantum error-correcting codes form an important class of quantum codes. Since the error probability of bit-flip is less than the error probability of phase reversal, quantum error correction should take into account the asymmetric quantum channel. In this paper, based on typical constacyclic codes over finite field, two classes of asymmetric quantum error-correcting codes are obtained according to the CSS construction. These asymmetric quantum error-correcting codes are new in the sense that their parameters are not covered by the codes available in the literature and they are also optimal due to the fact that they achieve the Singleton bound of asymmetric quantum error-correcting codes.

Keywords: asymmetric quantum error-correcting code; constacyclic code; CSS construction; Singleton bound

作者信息

孙麒麟，王立启

(合肥工业大学数学学院, 安徽合肥 230601)

摘要和关键词

摘要: 非对称量子纠错码是量子纠错码中一类重要的码。因为量子比特翻转的错误概率小于量子相位翻转的错误概率,所以量子纠错需要考虑到非对称的量子信道。文章利用有限域上的经典常循环码,通过非对称量子纠错码的 CSS 构造法构造了 2 类非对称量子纠错码。所构造的非对称量子纠错码是新的,同时达到了非对称量子纠错码的 Singleton 界,因而也是最优的。

关键词: 非对称量子纠错码；常循环码；CSS构造；Singleton界

Funding

国家自然科学基金资助项目（12271137）

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