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- Title
Entanglement-assisted quantum codes from quaternary codes of dimension five.
- Authors
Lu, Liangdong; Li, Ruihu; Guo, Luobin
- Abstract
Maximal-entanglement entanglement-assisted quantum error-correcting codes (EAQE-CCs) can achieve the EA-hashing bound asymptotically and a higher rate and/or better noise suppression capability may be achieved by exploiting maximal entanglement. In this paper, we discussed the construction of quaternary zero radical (ZR) codes of dimension five with length . Using the obtained quaternary ZR codes, we construct many maximal-entanglement EAQECCs with very good parameters. Almost all of these EAQECCs are better than those obtained in the literature, and some of these EAQECCs are optimal codes.
- Subjects
CODING theory; QUATERNARY forms; ERROR correction (Information theory); BCH codes; JACOBSON radical
- Publication
International Journal of Quantum Information, 2017, Vol 15, Issue 3, p-1
- ISSN
0219-7499
- Publication type
Article
- DOI
10.1142/S0219749917500174