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Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes.
In: Quantum Information Processing, Jg. 21 (2022-09-01), Heft 9, S. 1-37
Online
academicJournal
Zugriff:
Entanglement-assisted quantum error-correcting codes as a generalization of stabilizer quantum error-correcting (QEC) codes can improve the performance of stabilizer QEC codes and can be constructed from arbitrary classical linear codes by relaxing the dual-containing condition and using pre-shared entanglement states between the sender and the receiver. In this paper, we construct some families of entanglement-assisted quantum maximum distance separable codes with parameters [ [ q 2 - 1 a , q 2 - 1 a - 2 (d - 1) + c , d ; c ] ] q , where q is an odd prime power with the form q = a m ± l , a = l 2 - 1 or a = l 2 - 1 2 , l is an odd integer, and m is a positive integer. Most of these codes are new in the sense that their parameters are not covered by the codes available in the literature. [ABSTRACT FROM AUTHOR]
Titel: |
Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes.
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Autor/in / Beteiligte Person: | Wang, Liqi ; Wang, Pan ; Zhu, Shixin |
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Zeitschrift: | Quantum Information Processing, Jg. 21 (2022-09-01), Heft 9, S. 1-37 |
Veröffentlichung: | 2022 |
Medientyp: | academicJournal |
ISSN: | 1570-0755 (print) |
DOI: | 10.1007/s11128-022-03661-z |
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