Criteria for genuine N-partite continuous-variable entanglement and Einstein-Podolsky-Rosen steering

R. Y. Teh and M. D. Reid
Phys. Rev. A 90, 062337 – Published 23 December 2014

Abstract

Following previous work, we distinguish between genuine N-partite entanglement and full N-partite inseparability. Accordingly, we derive criteria to detect genuine multipartite entanglement using continuous-variable (position and momentum) measurements. Our criteria are similar but different to those based on the van Loock–Furusawa inequalities, which detect full N-partite inseparability. We explain how the criteria can be used to detect the genuine N-partite entanglement of continuous variable states generated from squeezed and vacuum state inputs, including the continuous-variable Greenberger-Horne-Zeilinger state, with explicit predictions for up to N=9. This makes our work accessible to experiment. For N=3, we also present criteria for tripartite Einstein-Podolsky-Rosen (EPR) steering. These criteria provide a means to demonstrate a genuine three-party EPR paradox, in which any single party is steerable by the remaining two parties.

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  • Received 9 October 2013
  • Revised 20 October 2014

DOI:https://doi.org/10.1103/PhysRevA.90.062337

©2014 American Physical Society

Authors & Affiliations

R. Y. Teh* and M. D. Reid

  • Centre for Quantum Atom Optics, Swinburne University of Technology, Melbourne, 3122 Australia

  • *rteh@swin.edu.au
  • mdreid@swin.edu.au

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Vol. 90, Iss. 6 — December 2014

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