Four classes of new entanglement-assisted quantum optimal codes

DOI10.1007/s12190-021-01523-yzbMath1496.81046OpenAlexW3137538559MaRDI QIDQ2143880

Shixin Zhu, Wan Jiang, Binbin Pang, Xiaojing Chen

Publication date: 31 May 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01523-y

zbMATH Keywords

negacyclic codesdefining setsEAQECCsEAQMDS codes

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum coherence, entanglement, quantum correlations (81P40) Quantum coding (general) (81P70) Computational stability and error-correcting codes for quantum computation and communication processing (81P73) Entanglement measures, concurrencies, separability criteria (81P42) Quantum channels, fidelity (81P47)

Related Items (3)

Hermitian hulls of constacyclic codes and a new family of entanglement-assisted quantum MDS codes ⋮ Three new classes of entanglement-assisted quantum MDS codes from cyclic codes ⋮ New quantum codes derived from images of cyclic codes

Cites Work

• Unnamed Item
• Any quantum network is structurally controllable by a single driving signal
• New entanglement-assisted MDS quantum codes from constacyclic codes
• Constructions of new entanglement-assisted quantum MDS and almost MDS codes
• SLOCC classification of \(n\) qubits invoking the proportional relationships for spectrums and standard Jordan normal forms
• Constructions of good entanglement-assisted quantum error correcting codes
• Entanglement-assisted quantum MDS codes constructed from negacyclic codes
• Entanglement-assisted quantum MDS codes constructed from constacyclic codes
• Some negacyclic BCH codes and quantum codes
• New entanglement-assisted quantum MDS codes with larger minimum distance
• New entanglement-assisted quantum MDS codes with length \(n = \frac{q^2+1}{5}\)
• Entanglement-assisted quantum codes constructed from primitive quaternary BCH codes
• Duality in Entanglement-Assisted Quantum Error Correction
• New Quantum MDS Codes From Negacyclic Codes
• Correcting Quantum Errors with Entanglement
• Pseudocyclic maximum-distance-separable codes
• Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators

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