Entanglement-assisted quantum MDS codes constructed from negacyclic codes
Journal
Quantum Information Processing
Journal Volume
16
Journal Issue
12
Pages
UNSP 303
Date Issued
2017
Author(s)
Abstract
Recently, entanglement-assisted quantum codes have been constructed from cyclic codes by some scholars. However, how to determine the number of shared pairs required to construct entanglement-assisted quantum codes is not an easy work. In this paper, we propose a decomposition of the defining set of negacyclic codes. Based on this method, four families of entanglement-assisted quantum codes constructed in this paper satisfy the entanglement-assisted quantum Singleton bound, where the minimum distance satisfies q+1≤d≤n+22. Furthermore, we construct two families of entanglement-assisted quantum codes with maximal entanglement.
Type
journal article