主要刻画复向量空间C2■ Cn的乘积基的结构,且研究表明二体系统C2 ■Cn的乘积基中第1个系统的态及 第2个系统的态分别可以被拆分为C2的 n 组正交基和Cn的2组正交基.作为结果的应用,得到了二体系统 C2 ■ Cn的所有的乘积基,这对于重温C2■ C2及C2 ■C3的乘积基的结构是非常有帮助的.
In this paper, we mainly characterize the structure of product bases of the complex vector space C2■Cn. The research shows that the first components and the second components of product bases of the bipartite system C2■ Cn can be grouped into n orthonormal bases of C2 and 2 orthonormal bases of Cn. As the application of the result, we obtain all the product bases of a bipartite system C2■Cn. It is helpful to review the structure of all the product bases of C2 ■C2 and C2■C3, which was given by McNulty et al.