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	Inhomogenous quantum codes (I): additive case
	Wang WeiYang ; Feng RongQuan ; Feng KeQin
	2010
关键词	quantum code mixed code character finite abelian group algebraic-geometric code stabilizer ERROR-CORRECTION
英文摘要	In this paper, the quantum error-correcting codes are generalized to the inhomogenous quantum-state space C(q1) circle plus C(q2) circle plus ... circle plus C(qn), where q(i) (1 <= i <= n) are arbitrary positive integers. By attaching an abelian group A(i) of order q(i) to the space C(qi) (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 = A(1) circle plus A(2) circle plus ... circle plus A(n). 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.; Mathematics, Applied; Mathematics; SCI(E); 3; ARTICLE; 9; 2501-2510; 53
语种	英语
出处	SCI
出版者	science china mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157643]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang WeiYang,Feng RongQuan,Feng KeQin. Inhomogenous quantum codes (I): additive case. 2010-01-01.

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