Abstract: Quantum error-correcting codes play an important role in not only ctuantum communication but also ctuantum computation. All kinds of cyclic codes,for example, Hamming codes,BCH codes and Recd-Solomon codes et al.，constacyclic codes and quasi cyclic codes have been used to construct quantum error-correcting codes. An unified approach to constructctuantum error-correcting codes was presented by using ctuasi-twisted codes. A sufficient and necessary condition for quasi-twisted contained its dual codes, and a new method for constructing quasi twisted codes was given. Moreover, new cauantum quasi-twisted codes were obtained by using quasi-twisted codes.

Key words: Quantum error-correcting codes,Quasi twisted codes,Cyclic codes,Constacylic codes,Quasi-cyclic codes