We consider the local unitary equivalence of a class of quantum states in a bipartite case and a multipartite case. The necessary and sufficient condition is presented. As special cases, the local unitary equivalent c...We consider the local unitary equivalence of a class of quantum states in a bipartite case and a multipartite case. The necessary and sufficient condition is presented. As special cases, the local unitary equivalent classes of isotropic state and Werner state are provided. Then we study the local unitary similar equivalence of this class of quantum states and analyze the necessary and sufficient condition.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.1140103261473325+9 种基金115011531110522611275131and 11401106)the Fundamental Research Funds for the Central UniversitiesChina(Grant Nos.15CX08011A and 24720122013)the Natural Science Foundation of Hainan ProvinceChina(Grant Nos.20151005 and 20151010)the Scientific Research Foundation for the Returned Overseas Chinese ScholarsState Education Ministry
文摘We consider the local unitary equivalence of a class of quantum states in a bipartite case and a multipartite case. The necessary and sufficient condition is presented. As special cases, the local unitary equivalent classes of isotropic state and Werner state are provided. Then we study the local unitary similar equivalence of this class of quantum states and analyze the necessary and sufficient condition.