Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2

DOI10.1007/s11128-021-03101-4OpenAlexW3157471403MaRDI QIDQ2690226

Fernando Hernando, Diego Ruano, Carlos Galindo Pastor

Publication date: 15 March 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01113

zbMATH Keywords

BCH codesReed-Solomon codesEAQECCcyclotomic cosetssubfield subcodesentanglement-assisted quantum codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Quantum coding (general) (81P70) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)

Related Items (6)

Steane enlargement of entanglement-assisted quantum error-correcting codes ⋮ New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal codes ⋮ Theory behind quantum error correcting codes: an overview ⋮ Several new families of MDS EAQECCs with much larger dimensions and related application to EACQCs ⋮ Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes ⋮ Construction of new entanglement-assisted quantum MDS codes via cyclic codes

Cites Work

• Constructions of new entanglement-assisted quantum MDS and almost MDS codes
• Two new families of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes
• Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
• Stabilizer quantum codes from \(J\)-affine variety codes and a new Steane-like enlargement
• The theory of cyclic codes and a generalization to additive codes
• On MDS linear complementary dual codes and entanglement-assisted quantum codes
• Entanglement-assisted quantum MDS codes constructed from negacyclic codes
• Application of constacyclic codes to entanglement-assisted quantum maximum distance separable codes
• New entanglement-assisted quantum MDS codes derived from generalized Reed-Solomon codes
• An application of constacyclic codes to entanglement-assisted quantum MDS codes
• Entanglement-assisted quantum negacyclic BCH codes
• Quantum codes from affine variety codes and their subfield-subcodes
• On the distance of stabilizer quantum codes from \(J\)-affine variety codes
• Entanglement-assisted quantum codes constructed from primitive quaternary BCH codes
• Catalytic Quantum Error Correction
• Correcting Quantum Errors with Entanglement
• Nonbinary Stabilizer Codes Over Finite Fields
• Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators
• The Metric Structure of Linear Codes
• On Squares of Cyclic Codes
• Quantum error correction via codes over GF(4)
• Constructions of Self-Orthogonal Codes From Hulls of BCH Codes and Their Parameters
• MDS Codes With Hulls of Arbitrary Dimensions and Their Quantum Error Correction

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