We present a general construction of asymmetric quantum codes based on
additive codes under the trace Hermitian inner product. Various families of
additive codes over $\F_{4}$ are used in the construction of many asymmetric
quantum codes over $\F_{4}$.Comment: Accepted for publication March 2, 2011, IEEE Transactions on
  Information Theory, to appea

Ezerman, Martianus Frederic

Ling, San

Sole, Patrick