Separability and entanglement in tripartite states

doi:10.1007/s11232-009-0118-z

CSpace > 应用数学研究所

	Separability and entanglement in tripartite states
	Luo, Shunlong1 ; Sun, Wei 2
	2009-09-01
发表期刊	THEORETICAL AND MATHEMATICAL PHYSICS
ISSN	0040-5779
卷号	160 期号:3 页码:1316-1323
摘要	While classical correlations can be freely distributed among many systems, this is not true for entanglement and quantum correlations. If a quantum system S-a is entangled with another quantum system S-b, then its entanglement with any third quantum system S-c cannot be arbitrary. This is the celebrated monogamy of entanglement. Implicit in this general statement is the plausible belief that only entanglement between the systems S-a and S-b constrains the entanglement between S-a and the third system S-c. We demonstrate that even classical correlations between S-a and S-b may impose surprisingly stringent restrictions on the possible entanglement between S-a and S-c. In particular, perfect bipartite classical correlations and full entanglement cannot coexist in any tripartite state. An intuitive explanation of this monogamy of hybrid classical and quantum correlations might be that the system S-a has a correlating capability, which cannot be used to establish any entanglement with a third system (but can still be used to establish classical correlations) if it is exhausted when correlated with S-b (in either a classical or quantum fashion). This may be interpreted as an alternate version of monogamy.
关键词	correlation classical state tripartite state entanglement separability
DOI	10.1007/s11232-009-0118-z
语种	英语
资助项目	NSFC[10771208] ; Science Fund for Creative Research Groups[10721101] ; NSERC[311945-2008]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000271029500008
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7850
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Concordia Univ, Dept Math & Stat, Montreal, PQ H4B 1R6, Canada
推荐引用方式 GB/T 7714	Luo, Shunlong,Sun, Wei. Separability and entanglement in tripartite states[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2009,160(3):1316-1323.
APA	Luo, Shunlong,&Sun, Wei.(2009).Separability and entanglement in tripartite states.THEORETICAL AND MATHEMATICAL PHYSICS,160(3),1316-1323.
MLA	Luo, Shunlong,et al."Separability and entanglement in tripartite states".THEORETICAL AND MATHEMATICAL PHYSICS 160.3(2009):1316-1323.