Some New Families of Entanglement-Assisted Quantum Maximum-Distance-Separable Codes Constructed from Constacyclic Codes
Entanglement-assisted quantum error-correcting codes can be seen as a new-type of quantum error-correcting codes,unlike quantum error-correcting codes,it can be constructed from arbitrary linear codes by utilizing shared entangled states between the sender and the receiver in advance,even if it does not satisfy the dual-containing condition.Based on the structural properties of cyclotomic cosets,some new classes of entanglement-assisted quantum maximum-distance-separable(MDS)codes are constructed from constacyclic codes by exploiting small pre-shared entangled states.
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