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- Entanglement, EPR steering, and Bell-nonlocality criteria for multipartite higher-spin systems
- He, Q. Y.; Drummond, P. D.; Reid, M. D.
- We develop criteria to detect three classes of nonlocality that have been shown by Wiseman et al. [Phys. Rev. Lett. 98, 140402 (2007)] to be nonequivalent: entanglement, EPR steering, and the failure of local hidden-variable theories. We use the approach of Cavalcanti et al. [Phys. Rev. Lett. 99, 210405 (2007)] for continuous variables to develop the nonlocality criteria for arbitrary spin observables defined on a discrete Hilbert space. The criteria thus apply to multisite qudits, i.e., systems of fixed dimension d, and take the form of inequalities. We find that the spin moment inequalities that test local hidden variables (Bell inequalities) can be violated for arbitrary d by optimized highly correlated nonmaximally entangled states provided the number of sites N is high enough. On the other hand, the spin inequalities for entanglement are violated and thus detect entanglement for such states, for arbitrary d and N, and with a violation that increases with N. We show that one of the moment entanglement inequalities can detect the entanglement of an arbitrary generalized multipartite Greenberger-Horne-Zeilinger state. Because they involve the natural observables for atomic systems, the relevant spin-operator correlations should be readily observable in trapped ultracold atomic gases and ion traps.
- Publication type
- Journal article
- Research centre
- Swinburne University of Technology. Faculty of Engineering and Industrial Sciences. Centre for Atom Optics and Ultrafast Spectroscopy
- Physical Review A, Vol. 83, no. 3 (Mar 2011), article no. 032120
- Publication year
- FOR Code(s)
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics; 0204 Condensed Matter Physics; 0205 Optical Physics
- Bell inequalities; Bell nonlocality; Einstein-Podolsky-Rosen; Entanglement; EPR steering; Multipartite higher-spin systems
- American Physical Society
- Publisher URL
- Copyright © 2011 American Physical Society. Published version of the paper reproduced here in accordance with the copyright policy of the publisher.
- Additional information
- The authors acknowledge support from the Australian Research Council via ACQAO COE and Discovery grants and the Humboldt Society.
- Full text
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