Criterion of local unitary equivalence for multipartite states
Criterion of local unitary equivalence for multipartite states
复制标题
多党国家的地方单一等价准则
DOI：
10.1103/physreva.88.042304
复制
发表时间：
2013-10-03
影响因子：
2.9
通讯作者：
Li-Jost, Xianqing
中科院分区：
文献类型：
--
作者：
Zhang, Ting-Gui;Zhao, Ming-Jing;Li-Jost, Xianqing
研究了任意维多体量子混合态的局域幺正等价性。基于矩阵重排，给出了一般多体态局域幺正等价的一个充要判据。该标准被证明是可操作的，即使是特别退化的国家，通过详细的例子。此外，对于局部等价态，构造了局部幺正算符的显式表达式。作为对该判据的补充，本文还给出了一种基于矩阵部分转置的方法，使该判据在处理一般退化混合态时更为有效。
We study the local unitary equivalence of arbitrary dimensional multipartite quantum mixed states. We present a necessary and sufficient criterion of the local unitary equivalence for general multipartite states based on matrix realignment. The criterion is shown to be operational, even for particularly degenerated states, by detailed examples. In addition, explicit expressions of the local unitary operators are constructed for locally equivalent states. Complementary to the criterion, an alternative approach based on the partial transposition of matrices is also given, which makes the criterion more effective in dealing with generally degenerated mixed states.