Universität zu Köln

Quan, Quan, Zhu, Huangjun, Fan, Heng ORCID: 0000-0002-5328-2449 and Yang, Wen-Li (2017). Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario. Phys. Rev. A, 95 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

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Abstract

Einstein-Podolsky-Rosen (EPR) steering is an intermediate type of quantum nonlocality which sits between entanglement and Bell nonlocality. A set of correlations is Bell nonlocal if it does not admit a local hidden variable (LHV) model, while it is EPR nonlocal if it does not admit a local hidden variable-local hidden state (LHV-LHS) model. It is interesting to know what states can generate EPR-nonlocal correlations in the simplest nontrivial scenario, that is, two projective measurements for each party sharing a two-qubit state. Here we show that a two-qubit state can generate EPR-nonlocal full correlations (excluding marginal statistics) in this scenario if and only if it can generate Bell-nonlocal correlations. If full statistics (including marginal statistics) is taken into account, surprisingly, the same scenario can manifest the simplest one-way steering and the strongest hierarchy between steering and Bell nonlocality. To illustrate these intriguing phenomena in simple setups, several concrete examples are discussed in detail, which facilitates experimental demonstration. In the course of study, we introduce the concept of restricted LHS models and thereby derive a necessary and sufficient semidefinite-programming criterion to determine the steerability of any bipartite state under given measurements. Analytical criteria are further derived in several scenarios of strong theoretical and experimental interest.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Quan, Quan UNSPECIFIED UNSPECIFIED UNSPECIFIED Zhu, Huangjun UNSPECIFIED UNSPECIFIED UNSPECIFIED Fan, Heng UNSPECIFIED orcid.org/0000-0002-5328-2449 UNSPECIFIED Yang, Wen-Li UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-227682
DOI:	10.1103/PhysRevA.95.062111
Journal or Publication Title:	Phys. Rev. A
Volume:	95
Number:	6
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM CRYPTOGRAPHY; INEQUALITY; STATES; ENTANGLEMENT; NONLOCALITY; PARADOX; REALITY Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/22768