Classical states versus separable states

doi:10.1103/PhysRevA.78.024303

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	Classical states versus separable states
	Li, Nan1 ; Luo, Shunlong2,3
	2008-08-01
发表期刊	PHYSICAL REVIEW A
ISSN	1050-2947
卷号	78 期号:2 页码:4
摘要	A bipartite state is called classical (with regard to correlations) if it is left undisturbed by a certain local von Neumann measurement, and is called separable if it can be represented as a convex combination of product states. Due to the perfect distinguishability of orthogonal vectors, a classical state can essentially be identified with a convenient bivariate probability distribution, and moreover, it is separable, but not vice versa. The notion of separability plays a key role in quantum information theory because entanglement is defined via separability. However, the definition of separability is ad hoc and formal. In this paper, we present an intrinsic characterization of separable states via classical states from the measurement perspective: Separable states are precisely those states that are reductions of classical states in higher dimensions with the natural partitions. Consequently, entangled states are precisely those states that cannot be represented as such reductions of classical states. This observation highlights the hidden mutually exclusive and complementary relations between classicality and entanglement.
DOI	10.1103/PhysRevA.78.024303
语种	英语
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000259263500090
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5892
专题	应用数学研究所
通讯作者	Li, Nan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Bielefeld, Fak Math, D-33165 Bielefeld, Germany
推荐引用方式 GB/T 7714	Li, Nan,Luo, Shunlong. Classical states versus separable states[J]. PHYSICAL REVIEW A,2008,78(2):4.
APA	Li, Nan,&Luo, Shunlong.(2008).Classical states versus separable states.PHYSICAL REVIEW A,78(2),4.
MLA	Li, Nan,et al."Classical states versus separable states".PHYSICAL REVIEW A 78.2(2008):4.