Probabilistic interpretation of the reduction criterion for entanglement

doi:10.1103/PhysRevA.75.032312

CSpace > 应用数学研究所

	Probabilistic interpretation of the reduction criterion for entanglement
	Zhang, Zhengmin ; Luo, Shunlong
	2007-03-01
发表期刊	PHYSICAL REVIEW A
ISSN	1050-2947
卷号	75 期号:3 页码:3
摘要	Inspired by the idea of conditional probabilities, we introduce a variant of conditional density operators. But unlike the conditional probabilities which are bounded by 1, the conditional density operators may have eigenvalues exceeding 1 for entangled states. This has the consequence that although any bivariate classical probability distribution has a natural separable decomposition in terms of conditional probabilities, we do not have a quantum analogue of this separable decomposition in general. The "nonclassical" eigenvalues of conditional density operators are indications of entanglement. The resulting separability criterion turns out to be equivalent to the reduction criterion introduced by Horodecki [Phys. Rev. A 59, 4206 (1999)] and Cerf [Phys. Rev. A 60, 898 (1999)]. This supplies an intuitive probabilistic interpretation for the reduction criterion. The conditional density operators are also used to define a form of quantum conditional entropy which provides an alternative mechanism to reveal quantum discord.
DOI	10.1103/PhysRevA.75.032312
语种	英语
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000245326300044
出版者	AMERICAN 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/4887
专题	应用数学研究所
通讯作者	Zhang, Zhengmin
作者单位	1.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhengmin,Luo, Shunlong. Probabilistic interpretation of the reduction criterion for entanglement[J]. PHYSICAL REVIEW A,2007,75(3):3.
APA	Zhang, Zhengmin,&Luo, Shunlong.(2007).Probabilistic interpretation of the reduction criterion for entanglement.PHYSICAL REVIEW A,75(3),3.
MLA	Zhang, Zhengmin,et al."Probabilistic interpretation of the reduction criterion for entanglement".PHYSICAL REVIEW A 75.3(2007):3.