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In 1997, Shor and Laflamme defined the weight enumerators for quantumerror-correcting codes and derived a MacWilliams identity. We extend their workby introducing our double weight enumerators and complete weight enumerators.The MacWilliams identities for these enumerators can be obtained similarly.With the help of MacWilliams identities, we obtain various bounds forasymmetric quantum codes.

Complete Weight Distribution and MacWilliams Identities for Asymmetric Quantum Codes