dorsal/arxiv
View SchemaBell inequalities and distillability in N-quantum-bit systems
| Authors | Antonio Acin, Valerio Scarani, Michael M. Wolf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206084 |
| URL | https://arxiv.org/abs/quant-ph/0206084 |
| DOI | 10.1103/PhysRevA.66.042323 |
| Journal | Phys. Rev. A 66, 042323 (2002). |
Abstract
The relation between Bell inequalities with two two-outcome measurements per site and distillability is analyzed in systems of an arbitrary number of quantum bits. We observe that the violation of any of these inequalities by a quantum state implies that pure-state entanglement can be distilled from it. The corresponding distillation protocol may require that some of the parties join into several groups. We show that there exists a link between the amount of the Bell inequality violation and the size of the groups they have to form for distillation. Thus, a strong violation is always sufficient for full N-partite distillability. This result also allows for a security proof of multi-partite quantum key distribution (QKD) protocols.
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"abstract": "The relation between Bell inequalities with two two-outcome measurements per\nsite and distillability is analyzed in systems of an arbitrary number of\nquantum bits. We observe that the violation of any of these inequalities by a\nquantum state implies that pure-state entanglement can be distilled from it.\nThe corresponding distillation protocol may require that some of the parties\njoin into several groups. We show that there exists a link between the amount\nof the Bell inequality violation and the size of the groups they have to form\nfor distillation. Thus, a strong violation is always sufficient for full\nN-partite distillability. This result also allows for a security proof of\nmulti-partite quantum key distribution (QKD) protocols.",
"arxiv_id": "quant-ph/0206084",
"authors": [
"Antonio Acin",
"Valerio Scarani",
"Michael M. Wolf"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.042323",
"journal_ref": "Phys. Rev. A 66, 042323 (2002).",
"title": "Bell inequalities and distillability in N-quantum-bit systems",
"url": "https://arxiv.org/abs/quant-ph/0206084"
},
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