Abstract
Following previous work, we distinguish between genuine -partite entanglement and full -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 -partite inseparability. We explain how the criteria can be used to detect the genuine -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 . This makes our work accessible to experiment. For , 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.
7 More- Received 9 October 2013
- Revised 20 October 2014
DOI:https://doi.org/10.1103/PhysRevA.90.062337
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