dorsal/arxiv
View SchemaTwo-Setting Bell Inequalities for Many Qubits
| Authors | Kai Chen, Sergio Albeverio, Shao-Ming Fei |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611142 |
| URL | https://arxiv.org/abs/quant-ph/0611142 |
| DOI | 10.1103/PhysRevA.74.050101 |
| Journal | Phys. Rev. A 74, 050101(R) (2006) |
Abstract
We present a family of Bell inequalities involving only two measurement settings of each party for N>2 qubits. Our inequalities include all the standard ones with fewer than N qubits and thus gives a natural generalization. It is shown that all the Greenberger-Horne-Zeilinger states violate the inequalities maximally, with an amount that grows exponentially as 2^{{(N-2)}/2}. The inequalities are also violated by some states that do satisfy all the standard Bell inequalities. Remarkably, our results yield in an efficient and simple way an implementation of nonlocality tests of many qubits favorably within reach of the well-established technology of linear optics.
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"abstract": "We present a family of Bell inequalities involving only two measurement\nsettings of each party for N\u003e2 qubits. Our inequalities include all the\nstandard ones with fewer than N qubits and thus gives a natural generalization.\nIt is shown that all the Greenberger-Horne-Zeilinger states violate the\ninequalities maximally, with an amount that grows exponentially as\n2^{{(N-2)}/2}. The inequalities are also violated by some states that do\nsatisfy all the standard Bell inequalities. Remarkably, our results yield in an\nefficient and simple way an implementation of nonlocality tests of many qubits\nfavorably within reach of the well-established technology of linear optics.",
"arxiv_id": "quant-ph/0611142",
"authors": [
"Kai Chen",
"Sergio Albeverio",
"Shao-Ming Fei"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.74.050101",
"journal_ref": "Phys. Rev. A 74, 050101(R) (2006)",
"title": "Two-Setting Bell Inequalities for Many Qubits",
"url": "https://arxiv.org/abs/quant-ph/0611142"
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