Steering Bell-diagonal states | |
Quan, Quan1; Zhu, Huangjun2,3; Liu, Si-Yuan1; Fei, Shao-Ming4,5; Fan, Heng1,6,7; Yang, Wen-Li1,8 | |
刊名 | SCIENTIFIC REPORTS
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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. |
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