dorsal/arxiv
View SchemaBell's inequality for n spin-s particles
| Authors | Adan Cabello |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202126 |
| URL | https://arxiv.org/abs/quant-ph/0202126 |
| DOI | 10.1103/PhysRevA.65.062105 |
| Journal | Phys. Rev. A 65 (2002) 062105 |
Abstract
The Mermin-Klyshko inequality for n spin-1/2 particles and two dichotomic observables is generalized to n spin-s particles and two maximal observables. It is shown that some multiparty multilevel Greenberger-Horne-Zeilinger states [A. Cabello, Phys. Rev. A 63, 022104 (2001)] maximally violate this inequality for any s. For a fixed n, the magnitude of the violation is constant for any s, which provides a simple demonstration and generalizes the conclusion reached by Gisin and Peres for two spin-s particles in the singlet state [Phys. Lett. A 162, 15 (1992)]. For a fixed s, the violation grows exponentially with n, which provides a generalization to any s of Mermin's conclusion for n spin-1/2 particles [Phys. Rev. Lett. 65, 1838 (1990)].
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"abstract": "The Mermin-Klyshko inequality for n spin-1/2 particles and two dichotomic\nobservables is generalized to n spin-s particles and two maximal observables.\nIt is shown that some multiparty multilevel Greenberger-Horne-Zeilinger states\n[A. Cabello, Phys. Rev. A 63, 022104 (2001)] maximally violate this inequality\nfor any s. For a fixed n, the magnitude of the violation is constant for any s,\nwhich provides a simple demonstration and generalizes the conclusion reached by\nGisin and Peres for two spin-s particles in the singlet state [Phys. Lett. A\n162, 15 (1992)]. For a fixed s, the violation grows exponentially with n, which\nprovides a generalization to any s of Mermin\u0027s conclusion for n spin-1/2\nparticles [Phys. Rev. Lett. 65, 1838 (1990)].",
"arxiv_id": "quant-ph/0202126",
"authors": [
"Adan Cabello"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.65.062105",
"journal_ref": "Phys. Rev. A 65 (2002) 062105",
"title": "Bell\u0027s inequality for n spin-s particles",
"url": "https://arxiv.org/abs/quant-ph/0202126"
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