Multi-Partite Entanglement Inequalities via Spin Vector Geometry

Details Multi-Partite Entanglement Inequalities via Spin Vector Geometry Multi-Partite Entanglement Inequalities via Spin Vector Geometry

2005-04-11

arxiv.org/abs/quant-ph/0504072v2

Phys. Rev. Lett. 95 180402 (October 2005)

Physics

Quantum Physics

4 pages, 2 tables, 1 figure. A truncated version is published in Physical Review Letters, volume 95 issue 18, 180402 (October

Scientific paper

10.1103/PhysRevLett.95.180402

We introduce inequalities for multi-partite 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.

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