dorsal/arxiv
View SchemaMulti-Partite Entanglement Inequalities via Spin Vector Geometry
| Authors | Gabriel A. Durkin, Christoph Simon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504072 |
| URL | https://arxiv.org/abs/quant-ph/0504072 |
| DOI | 10.1103/PhysRevLett.95.180402 |
| Journal | Phys. Rev. Lett. 95 180402 (October 2005) |
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.
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"abstract": "We introduce inequalities for multi-partite entanglement, derived from the\ngeometry of spin vectors. The criteria are constructed iteratively from cross\nand dot products between the spins of individual subsystems, each of which may\nhave arbitrary dimension. For qubit ensembles the maximum violation for our\ninequalities is larger than that for the Mermin-Klyshko Bell inequalities, and\nthe maximally violating states are different from Greenberger-Horne-Zeilinger\nstates. Our inequalities are violated by certain bound entangled states for\nwhich no Bell-type violation has yet been found.",
"arxiv_id": "quant-ph/0504072",
"authors": [
"Gabriel A. Durkin",
"Christoph Simon"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.95.180402",
"journal_ref": "Phys. Rev. Lett. 95 180402 (October 2005)",
"title": "Multi-Partite Entanglement Inequalities via Spin Vector Geometry",
"url": "https://arxiv.org/abs/quant-ph/0504072"
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