NEW CONSTRUCTIONS OF ENTANGLEMENT-ASSISTED QUANTUM CODES
| Autor: | A. Allahmadi, Ferruh Özbudak, Ahmad N. Al-Kenani, Patrick Solé, Rola Hijazi, Najat Muthana |
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| Přispěvatelé: | King Abdul Aziz University (KAU), Department of Mathematics, Middle East Technical University [Ankara] (METU), Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Computer Networks and Communications
Generalization Computer science concatenation Concatenation Binary number 0102 computer and information sciences 02 engineering and technology Quantum entanglement Type (model theory) 01 natural sciences [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] 0202 electrical engineering electronic engineering information engineering Hull of a code Quantum Singleton Applied Mathematics MSC 2010: 81P45 81P70 94B05 TheoryofComputation_GENERAL 020206 networking & telecommunications DUAL (cognitive architecture) isometry codes Algebra Computational Theory and Mathematics Entanglement-assisted quantum error correcting codes 010201 computation theory & mathematics [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT] |
| Zdroj: | Cryptography and Communications-Discrete Structures, Boolean Functions and Sequences Cryptography and Communications-Discrete Structures, Boolean Functions and Sequences, Springer, In press, ⟨10.1007/s12095-021-00499-7⟩ Cryptography and Communications-Discrete Structures, Boolean Functions and Sequences, In press, ⟨10.1007/s12095-021-00499-7⟩ |
| ISSN: | 1936-2447 1936-2455 |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
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