dorsal/arxiv
View SchemaBell's theorem without inequalities and only two distant observers
| Authors | P. K. Aravind |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0104133 |
| URL | https://arxiv.org/abs/quant-ph/0104133 |
| Journal | Found. Phys. Lett. 15, 397-405 (2002). |
Abstract
A proof of Bell's theorem without inequalities and involving only two observers is given by suitably extending a proof of the Bell-Kochen-Specker theorem due to Mermin. This proof is generalized to obtain an inequality-free proof of Bell's theorem for a set of n Bell states (with n odd) shared between two distant observers. A generalized CHSH inequality is formulated for n Bell states shared symmetrically between two observers and it is shown that quantum mechanics violates this inequality by an amount that grows exponentially with increasing n.
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"abstract": "A proof of Bell\u0027s theorem without inequalities and involving only two\nobservers is given by suitably extending a proof of the Bell-Kochen-Specker\ntheorem due to Mermin. This proof is generalized to obtain an inequality-free\nproof of Bell\u0027s theorem for a set of n Bell states (with n odd) shared between\ntwo distant observers. A generalized CHSH inequality is formulated for n Bell\nstates shared symmetrically between two observers and it is shown that quantum\nmechanics violates this inequality by an amount that grows exponentially with\nincreasing n.",
"arxiv_id": "quant-ph/0104133",
"authors": [
"P. K. Aravind"
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"journal_ref": "Found. Phys. Lett. 15, 397-405 (2002).",
"title": "Bell\u0027s theorem without inequalities and only two distant observers",
"url": "https://arxiv.org/abs/quant-ph/0104133"
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