Entanglement, einstein-podolsky-rosen correlations, bell nonlocality, and steering

Jones, S. J., Wiseman, H. M. and Doherty, A. C. (2007) Entanglement, einstein-podolsky-rosen correlations, bell nonlocality, and steering. Physical Review A, 76 5: 052116-1-052116-18. doi:10.1103/PhysRevA.76.052116

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Author Jones, S. J.
Wiseman, H. M.
Doherty, A. C.
Title Entanglement, einstein-podolsky-rosen correlations, bell nonlocality, and steering
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2007
Sub-type Article (original research)
DOI 10.1103/PhysRevA.76.052116
Open Access Status File (Publisher version)
Volume 76
Issue 5
Start page 052116-1
End page 052116-18
Total pages 18
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2008
Language eng
Abstract In a recent work [Phys. Rev. Lett. 98, 140402 (2007)] we defined "steering," a type of quantum nonlocality that is logically distinct from both nonseparability and Bell nonlocality. In the bipartite setting, it hinges on the question of whether Alice can affect Bob's state at a distance through her choice of measurement. More precisely and operationally, it hinges on the question of whether Alice, with classical communication, can convince Bob that they share an entangled state under the circumstances that Bob trusts nothing that Alice says. We argue that if she can, then this demonstrates the nonlocal effect first identified in the famous Einstein-Podolsky-Rosen paper [Phys. Rev. 47, 777 (1935)] as a universal effect for pure entangled states. This ability of Alice to remotely prepare Bob's state was subsequently called steering by Schrodinger, whose terminology we adopt. The phenomenon of steering has been largely overlooked, and prior to our work had not even been given a rigorous definition that is applicable to mixed states as well as pure states. Armed with our rigorous definition, we proved that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell nonlocality. In this work we expand on these results and provide further examples of steerable states. We also elaborate on the connection with the original EPR paradox.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Continuous Variable Systems
Separability Criterion
Quantum Nonlocality
States
Inequality
Theorem
Q-Index Code C1
Q-Index Status Confirmed Code

 
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Created: Mon, 18 Feb 2008, 15:48:47 EST