Decomposition of bipartite states with applications to quantum no-broadcasting theorems

doi:10.1103/PhysRevA.82.012338

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	Decomposition of bipartite states with applications to quantum no-broadcasting theorems
	Luo, Shunlong1,2 ; Sun, Wei 1
	2010-07-30
发表期刊	PHYSICAL REVIEW A
ISSN	1050-2947
卷号	82 期号:1 页码:6
摘要	Correlations in bipartite quantum states are fundamental objects in quantum information theory. A canonical framework for studying correlations is the entangled versus separable dichotomy in which the decompositions of separable states as convex combinations of product states play an instrumental role. In this paper, motivated by both the representation of separable states and quantum no-broadcasting considerations, we establish a constructive decomposition representation for any bipartite state. As applications, we prove the conjectures proposed by Luo [Lett. Math. Phys. 92, 143 (2010)] concerning no-unilocal broadcasting for quantum correlations and further provide a unified picture for the celebrated quantum no-broadcasting theorem for noncommuting states by Barnum et al. [Phys. Rev. Lett. 76, 2818 (1996)], and the elegant no-local-broadcasting theorem for quantum correlations by Piani et al. [Phys. Rev. Lett. 100, 090502 (2008)]. The results reveal some intrinsic relation between quantumness of correlations and noncommutativity of states, and in particular, provide a characterization for zero quantum discord introduced by Ollivier and Zurek [Phys. Rev. Lett. 88, 017901 (2001)] from the broadcasting perspective. Furthermore, it is indicated that the distinction between the decomposition for general bipartite states and that for separable states might be useful in studying entanglement versus separability.
DOI	10.1103/PhysRevA.82.012338
语种	英语
资助项目	National Natural Science Foundation of China[10771208] ; Key Lab of Random Complex Structures and Data Science, Chinese Academy of Sciences (CAS)[2008DP173182] ; Natural Sciences and Engineering Research Council of Canada[311945-2008]
WOS研究方向	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000280467400011
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/9879
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Sun, Wei. Decomposition of bipartite states with applications to quantum no-broadcasting theorems[J]. PHYSICAL REVIEW A,2010,82(1):6.
APA	Luo, Shunlong,&Sun, Wei.(2010).Decomposition of bipartite states with applications to quantum no-broadcasting theorems.PHYSICAL REVIEW A,82(1),6.
MLA	Luo, Shunlong,et al."Decomposition of bipartite states with applications to quantum no-broadcasting theorems".PHYSICAL REVIEW A 82.1(2010):6.