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Article Dans Une Revue Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences Année : 2021

NEW CONSTRUCTIONS OF ENTANGLEMENT-ASSISTED QUANTUM CODES

Résumé

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.
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Dates et versions

hal-03339152 , version 1 (09-09-2021)

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A Allahmadi, A Alkenani, R Hijazi, N Muthana, F Özbudak, et al.. NEW CONSTRUCTIONS OF ENTANGLEMENT-ASSISTED QUANTUM CODES. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences , In press, ⟨10.1007/s12095-021-00499-7⟩. ⟨hal-03339152⟩
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