Steering Bell-diagonal states

doi:10.1038/srep22025

	Steering Bell-diagonal states
	Quan, Quan 1; Zhu, Huangjun 2,3; Liu, Si-Yuan 1; Fei, Shao-Ming 4,5; Fan, Heng 1,6,7; Yang, Wen-Li 1,8
刊名	SCIENTIFIC REPORTS
	2016-02-25
卷号	6 页码:10
ISSN号	2045-2322
DOI	10.1038/srep22025
英文摘要	We investigate the steerability of two-qubit Bell-diagonal states under projective measurements by the steering party. In the simplest nontrivial scenario of two projective measurements, we solve this problem completely by virtue of the connection between the steering problem and the joint-measurement problem. A necessary and sufficient criterion is derived together with a simple geometrical interpretation. Our study shows that a Bell-diagonal state is steerable by two projective measurements iff it violates the Clauser-Horne-Shimony-Holt (CHSH) inequality, in sharp contrast with the strict hierarchy expected between steering and Bell nonlocality. We also introduce a steering measure and clarify its connections with concurrence and the volume of the steering ellipsoid. In particular, we determine the maximal concurrence and ellipsoid volume of Bell-diagonal states that are not steerable by two projective measurements. Finally, we explore the steerability of Bell-diagonal states under three projective measurements. A simple sufficient criterion is derived, which can detect the steerability of many states that are not steerable by two projective measurements. Our study offers valuable insight on steering of Bell-diagonal states as well as the connections between entanglement, steering, and Bell nonlocality.
资助项目	NSFC[11375141] ; NSFC[11425522] ; NSFC[11434013] ; NSFC[91536108] ; NSFC[11275131] ; Excellence Initiative of the German Federal and State Governments[ZUK81] ; DFG ; Perimeter Institute for Theoretical Physics ; Government of Canada through Industry Canada ; Province of Ontario through the Ministry of Research and Innovation
WOS关键词	VERSUS-NOTHING PROOF ; INEQUALITY ; REALITY
WOS研究方向	Science & Technology - Other Topics
语种	英语
出版者	NATURE PUBLISHING GROUP
WOS记录号	WOS:000370797900002
资助机构	NSFC ; Excellence Initiative of the German Federal and State Governments ; DFG ; Perimeter Institute for Theoretical Physics ; Government of Canada through Industry Canada ; Province of Ontario through the Ministry of Research and Innovation
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/41863]
专题	中国科学院近代物理研究所
通讯作者	Zhu, Huangjun
作者单位	1.Northwest Univ, Inst Modern Phys, Xian 710069, Peoples R China 2.Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany 3.Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada 4.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 5.Max Planck Inst Math Sci, D-04103 Leipzig, Germany 6.Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China 7.Collaborat Innovat Ctr Quantum Matter, Beijing 100190, Peoples R China 8.Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Quan, Quan,Zhu, Huangjun,Liu, Si-Yuan,et al. Steering Bell-diagonal states[J]. SCIENTIFIC REPORTS,2016,6:10.
APA	Quan, Quan,Zhu, Huangjun,Liu, Si-Yuan,Fei, Shao-Ming,Fan, Heng,&Yang, Wen-Li.(2016).Steering Bell-diagonal states.SCIENTIFIC REPORTS,6,10.
MLA	Quan, Quan,et al."Steering Bell-diagonal states".SCIENTIFIC REPORTS 6(2016):10.