An entanglement criterion for states in infinite-dimensional multipartite quantum systems

• 来源期刊: 科学通报(英文版)
• 学科: 物理学
• 年，卷（期）: 2012,（14）
• 页码范围: 1643-1647
• 页数: 5页
• 分类号: O413.1
• 语种: 中文

摘要

In(Phys Lett A,2002,297:4-8) an entanglement criterion for finite-dimensional bipartite systems is proposed:If ρ AB is a separable state,then Tr(ρA2) Tr(ρ2) and Tr(ρB2) Tr(ρ2).In the present paper this criterion is extended to infinite-dimensional bipartite and multipartite systems.The reduction criterion presented in(Phys Rev A,1999,59:4206-4216) is also generalized to infinitedimensional case.Then it is shown that the former criterion is weaker than the later one.