New constructions of entanglement-assisted quantum codes

Date

2021-01-01

Author

Allahmadi, A.
AlKenani, A.
Hijazi, R.
Muthana, N.
Özbudak, Ferruh
Solé, P.

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We present two new constructions of entanglement-assisted quantum error-correcting codes using some fundamental properties of (classical) linear codes in an effective way. The main ideas include linear complementary dual codes and related concatenation constructions. Numerical examples in modest lengths show that our constructions perform better than known constructions in the literature. We also give a proof on a generalization of binary Singleton type bound on entanglement-assisted quantum error-correcting codes to arbitrary q-ary entanglement-assisted quantum error-correcting codes.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85111080783&origin=inward
https://hdl.handle.net/11511/91546

Journal

Cryptography and Communications

DOI

https://doi.org/10.1007/s12095-021-00499-7

Collections

Department of Mathematics, Article

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Citation Formats

A. Allahmadi, A. AlKenani, R. Hijazi, N. Muthana, F. Özbudak, and P. Solé, “New constructions of entanglement-assisted quantum codes,” Cryptography and Communications, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85111080783&origin=inward.