科研之友
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摘要
Entanglement-assisted quantum error-correcting (EAQEC) codes can be transformed from classical linear codes through entanglement-assisted formalism by loosing the dual-containing condition and using pre-shared entanglement. It has become a challenging task to construct optimal EAQEC codes and determine the required number of pre-shared entanglement pairs. In this work, we explore the structure of q(2)-ary cyclic codes through analyzing two classes of cyclotomic cosets independently. By computing the number of maximally entangled states, we construct three classes of q-ary entanglement-assisted quantum maximum distance separable (EAQMDS) codes. This construction produces new EAQMDS codes with minimum distance more than q + 1.
