In this paper,the quantum error-correcting codes are generalized to the inhomogenous quantumstate space Cq1Cq2···Cqn,where qi(1 i n)are arbitrary positive integers.By attaching an abelian group Ai of or...In this paper,the quantum error-correcting codes are generalized to the inhomogenous quantumstate space Cq1Cq2···Cqn,where qi(1 i n)are arbitrary positive integers.By attaching an abelian group Ai of order qi to the space Cqi(1 i n),we present the stabilizer construction of such inhomogenous quantum codes,called additive quantum codes,in term of the character theory of the abelian group A=A1⊕A2⊕···⊕An.As usual case,such construction opens a way to get inhomogenous quantum codes from the classical mixed linear codes.We also present Singleton bound for inhomogenous additive quantum codes and show several quantum codes to meet such bound by using classical mixed algebraic-geometric codes.展开更多
The stabilizer(additive)method and non-additive method for constructing asymmetric quantum codes have been established.In this paper,these methods are generalized to inhomogeneous quantum codes.
The quantum codes have been generalized to inhomogeneous case and the stabilizer construction has been established to get additive inhomogeneous quantum codes in [Sei. China Math., 2010, 53： 2501-2510]. In this paper...The quantum codes have been generalized to inhomogeneous case and the stabilizer construction has been established to get additive inhomogeneous quantum codes in [Sei. China Math., 2010, 53： 2501-2510]. In this paper, we generalize the known constructions to construct non-additive inhomogeneous quantum codes and get examples of good d-ary quantum codes.展开更多
基金supported by National Natural Science Foundation of China(Grant No.10990011)
文摘In this paper,the quantum error-correcting codes are generalized to the inhomogenous quantumstate space Cq1Cq2···Cqn,where qi(1 i n)are arbitrary positive integers.By attaching an abelian group Ai of order qi to the space Cqi(1 i n),we present the stabilizer construction of such inhomogenous quantum codes,called additive quantum codes,in term of the character theory of the abelian group A=A1⊕A2⊕···⊕An.As usual case,such construction opens a way to get inhomogenous quantum codes from the classical mixed linear codes.We also present Singleton bound for inhomogenous additive quantum codes and show several quantum codes to meet such bound by using classical mixed algebraic-geometric codes.
基金supported by the National Natural Science Foundation of China(No.10990011)
文摘The stabilizer(additive)method and non-additive method for constructing asymmetric quantum codes have been established.In this paper,these methods are generalized to inhomogeneous quantum codes.
文摘The quantum codes have been generalized to inhomogeneous case and the stabilizer construction has been established to get additive inhomogeneous quantum codes in [Sei. China Math., 2010, 53： 2501-2510]. In this paper, we generalize the known constructions to construct non-additive inhomogeneous quantum codes and get examples of good d-ary quantum codes.
