dorsal/arxiv
View SchemaBell Inequalities for Graph States
| Authors | Otfried Guehne, Geza Toth, Philipp Hyllus, Hans J. Briegel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410059 |
| URL | https://arxiv.org/abs/quant-ph/0410059 |
| DOI | 10.1103/PhysRevLett.95.120405 |
| Journal | Phys. Rev. Lett. 95, 120405 (2005) |
Abstract
We investigate the non-local properties of graph states. To this aim, we derive a family of Bell inequalities which require three measurement settings for each party and are maximally violated by graph states. In turn, for each graph state there is an inequality maximally violated only by that state. We show that for certain types of graph states the violation of these inequalities increases exponentially with the number of qubits. We also discuss connections to other entanglement properties such as the positivity of the partial transpose or the geometric measure of entanglement.
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"abstract": "We investigate the non-local properties of graph states. To this aim, we\nderive a family of Bell inequalities which require three measurement settings\nfor each party and are maximally violated by graph states. In turn, for each\ngraph state there is an inequality maximally violated only by that state. We\nshow that for certain types of graph states the violation of these inequalities\nincreases exponentially with the number of qubits. We also discuss connections\nto other entanglement properties such as the positivity of the partial\ntranspose or the geometric measure of entanglement.",
"arxiv_id": "quant-ph/0410059",
"authors": [
"Otfried Guehne",
"Geza Toth",
"Philipp Hyllus",
"Hans J. Briegel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.95.120405",
"journal_ref": "Phys. Rev. Lett. 95, 120405 (2005)",
"title": "Bell Inequalities for Graph States",
"url": "https://arxiv.org/abs/quant-ph/0410059"
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