dorsal/arxiv
View SchemaTwo-setting Bell Inequalities for Graph States
| Authors | Geza Toth, Otfried Guehne, Hans J. Briegel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510007 |
| URL | https://arxiv.org/abs/quant-ph/0510007 |
| DOI | 10.1103/PhysRevA.73.022303 |
| Journal | Phys. Rev. A 73, 022303 (2006) |
Abstract
We present Bell inequalities for graph states with high violation of local realism. In particular, we show that there is a two-setting Bell inequality for every nontrivial graph state which is violated by the state at least by a factor of two. These inequalities are facets of the convex polytope containing the many-body correlations consistent with local hidden variable models. We first present a method which assigns a Bell inequality for each graph vertex. Then for some families of graph states composite Bell inequalities can be constructed with a violation of local realism increasing exponentially with the number of qubits. We also suggest a systematic way for obtaining Bell inequalities with a high violation of local realism for arbitrary graphs.
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"abstract": "We present Bell inequalities for graph states with high violation of local\nrealism. In particular, we show that there is a two-setting Bell inequality for\nevery nontrivial graph state which is violated by the state at least by a\nfactor of two. These inequalities are facets of the convex polytope containing\nthe many-body correlations consistent with local hidden variable models. We\nfirst present a method which assigns a Bell inequality for each graph vertex.\nThen for some families of graph states composite Bell inequalities can be\nconstructed with a violation of local realism increasing exponentially with the\nnumber of qubits. We also suggest a systematic way for obtaining Bell\ninequalities with a high violation of local realism for arbitrary graphs.",
"arxiv_id": "quant-ph/0510007",
"authors": [
"Geza Toth",
"Otfried Guehne",
"Hans J. Briegel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.022303",
"journal_ref": "Phys. Rev. A 73, 022303 (2006)",
"title": "Two-setting Bell Inequalities for Graph States",
"url": "https://arxiv.org/abs/quant-ph/0510007"
},
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