dorsal/arxiv
View SchemaBell inequality with an arbitrary number of settings and its applications
| Authors | Koji Nagata, Wieslaw Laskowski, Tomasz Paterek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601107 |
| URL | https://arxiv.org/abs/quant-ph/0601107 |
| DOI | 10.1103/PhysRevA.74.062109 |
| Journal | Phys. Rev. A 74, 062109 (2006) |
Abstract
Based on a geometrical argument introduced by Zukowski, a new multisetting Bell inequality is derived, for the scenario in which many parties make measurements on two-level systems. This generalizes and unifies some previous results. Moreover, a necessary and sufficient condition for the violation of this inequality is presented. It turns out that the class of non-separable states which do not admit local realistic description is extended when compared to the two-setting inequalities. However, supporting the conjecture of Peres, quantum states with positive partial transposes with respect to all subsystems do not violate the inequality. Additionally, we follow a general link between Bell inequalities and communication complexity problems, and present a quantum protocol linked with the inequality, which outperforms the best classical protocol.
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"abstract": "Based on a geometrical argument introduced by Zukowski, a new multisetting\nBell inequality is derived, for the scenario in which many parties make\nmeasurements on two-level systems. This generalizes and unifies some previous\nresults. Moreover, a necessary and sufficient condition for the violation of\nthis inequality is presented. It turns out that the class of non-separable\nstates which do not admit local realistic description is extended when compared\nto the two-setting inequalities. However, supporting the conjecture of Peres,\nquantum states with positive partial transposes with respect to all subsystems\ndo not violate the inequality. Additionally, we follow a general link between\nBell inequalities and communication complexity problems, and present a quantum\nprotocol linked with the inequality, which outperforms the best classical\nprotocol.",
"arxiv_id": "quant-ph/0601107",
"authors": [
"Koji Nagata",
"Wieslaw Laskowski",
"Tomasz Paterek"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.062109",
"journal_ref": "Phys. Rev. A 74, 062109 (2006)",
"title": "Bell inequality with an arbitrary number of settings and its applications",
"url": "https://arxiv.org/abs/quant-ph/0601107"
},
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