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Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes.
- Source :
- Quantum Information Processing; Sep2022, Vol. 21 Issue 9, p1-37, 37p
- Publication Year :
- 2022
-
Abstract
- 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]
- Subjects :
- ERROR-correcting codes
LINEAR codes
INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 15700755
- Volume :
- 21
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Quantum Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 159721401
- Full Text :
- https://doi.org/10.1007/s11128-022-03661-z