dorsal/arxiv
View SchemaViolating Bell's inequality beyond Cirel'son's bound
| Authors | Adan Cabello |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108084 |
| URL | https://arxiv.org/abs/quant-ph/0108084 |
| DOI | 10.1103/PhysRevLett.88.060403 |
| Journal | Phys. Rev. Lett. 88 (2002) 060403 |
Abstract
Cirel'son inequality states that the absolute value of the combination of quantum correlations appearing in the Clauser-Horne-Shimony-Holt (CHSH) inequality is bound by $2 \sqrt 2$. It is shown that the correlations of two qubits belonging to a three-qubit system can violate the CHSH inequality beyond $2 \sqrt 2$. Such a violation is not in conflict with Cirel'son's inequality because it is based on postselected systems. The maximum allowed violation of the CHSH inequality, 4, can be achieved using a Greenberger-Horne-Zeilinger state.
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"abstract": "Cirel\u0027son inequality states that the absolute value of the combination of\nquantum correlations appearing in the Clauser-Horne-Shimony-Holt (CHSH)\ninequality is bound by $2 \\sqrt 2$. It is shown that the correlations of two\nqubits belonging to a three-qubit system can violate the CHSH inequality beyond\n$2 \\sqrt 2$. Such a violation is not in conflict with Cirel\u0027son\u0027s inequality\nbecause it is based on postselected systems. The maximum allowed violation of\nthe CHSH inequality, 4, can be achieved using a Greenberger-Horne-Zeilinger\nstate.",
"arxiv_id": "quant-ph/0108084",
"authors": [
"Adan Cabello"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.88.060403",
"journal_ref": "Phys. Rev. Lett. 88 (2002) 060403",
"title": "Violating Bell\u0027s inequality beyond Cirel\u0027son\u0027s bound",
"url": "https://arxiv.org/abs/quant-ph/0108084"
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