Phys. Rev. Lett. 95, 180402 (2005) [4 pages]Multipartite Entanglement Inequalities via Spin Vector GeometryReceived 9 April 2005; published 25 October 2005 We introduce inequalities for multipartite entanglement, derived from the geometry of spin vectors. The criteria are constructed iteratively from cross and dot products between the spins of individual subsystems, each of which may have arbitrary dimension. For qubit ensembles the maximum violation for our inequalities is larger than that for the Mermin-Klyshko Bell inequalities, and the maximally violating states are different from Greenberger-Horne-Zeilinger states. Our inequalities are violated by certain bound entangled states for which no Bell-type violation has yet been found. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.180402
DOI:
10.1103/PhysRevLett.95.180402
PACS:
03.65.Ud, 03.67.Mn
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