Multi-Partite Entanglement Inequalities via Spin Vector Geometry
Quantum Physics
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.quant-ph/0504072,
title = {Multi-Partite Entanglement Inequalities via Spin Vector Geometry},
author = {Gabriel A. Durkin and Christoph Simon},
journal= {arXiv preprint arXiv:quant-ph/0504072},
year = {2007}
}
Comments
4 pages, 2 tables, 1 figure. A truncated version is published in Physical Review Letters, volume 95 issue 18, 180402 (October 2005)