Steering, Entanglement, nonlocality, and the Einstein-Podolsky-Rosen Paradox

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Title Steering, Entanglement, nonlocality, and the Einstein-Podolsky-Rosen Paradox
Author Wiseman, Howard Mark; Jones, Steve James; Doherty, A. C.
Journal Name Physical Review Letters
Editor George Basbas [et.al]
Year Published 2007
Place of publication Ridge, NY
Publisher American Physical Society
Abstract The concept of steering was introduced by Schrodinger in 1935 as a generalization of the EPR paradox for arbitrary pure bipartite entangled states and arbitrary measurements by one party. Until now, it has never been rigorously defined, so it has not been known (for example) what mixed states are steerable (that is, can be used to exhibit steering). We provide an operational definition, from which we prove (by considering Werner states and Isotropic states) that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell-nonlocality. For arbitrary bipartite Gaussian states we derive a linear matrix inequality that decides the question of steerability via Gaussian measurements, and we relate this to the original EPR paradox.
Peer Reviewed Yes
Published Yes
Publisher URI http://prl.aps.org/
Alternative URI http://dx.doi.org/10.1103/PhysRevLett.98.140402
Copyright Statement Copyright 2007 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 98
Page from 140402-1
Page to 140402-4
ISSN 0031-9007
Date Accessioned 2008-02-25
Language en_AU
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science, Environment, Engineering and Technology
Subject PRE2009-Theoretical Physics
URI http://hdl.handle.net/10072/18284
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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