New entanglement-assisted MDS quantum codes from constacyclic codes

Abstract

Construction of good quantum codes via classical codes is an important task for quantum information and quantum computing. In this work, by virtue of a decomposition of the defining set of constacyclic codes we have constructed eight new classes of entanglement-assisted quantum maximum distance separable codes.

References in corpus (4)

• Correcting Quantum Errors with Entanglement
• Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding
• General entanglement-assisted quantum error-correcting codes
• Entanglement-Assisted Quantum Communication Beating the Quantum Singleton Bound

Cited by in corpus (6)

• Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
• Two families of Entanglement-assisted quantum MDS codes from constacyclic codes
• Two families of Entanglement-assisted Quantum MDS Codes from cyclic Codes
• A new method for constructing EAQEC MDS codes
• New Classes of Entanglement-assisted Quantum MDS Codes
• Entanglement-assisted Quantum MDS Codes from generalized Reed-Solomon Codes