Quan, Quan, Zhu, Huangjun, Liu, Si-Yuan, Fei, Shao-Ming, Fan, Heng ORCID: 0000-0002-5328-2449 and Yang, Wen-Li (2016). Steering Bell-diagonal states. Sci Rep, 6. LONDON: NATURE PUBLISHING GROUP. ISSN 2045-2322

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Abstract

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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Quan, QuanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Zhu, HuangjunUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Liu, Si-YuanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Fei, Shao-MingUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Fan, HengUNSPECIFIEDorcid.org/0000-0002-5328-2449UNSPECIFIED
Yang, Wen-LiUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-284271
DOI: 10.1038/srep22025
Journal or Publication Title: Sci Rep
Volume: 6
Date: 2016
Publisher: NATURE PUBLISHING GROUP
Place of Publication: LONDON
ISSN: 2045-2322
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
VERSUS-NOTHING PROOF; INEQUALITY; REALITYMultiple languages
Multidisciplinary SciencesMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/28427

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