dorsal/arxiv
View SchemaBayesian analysis of Bell inequalities
| Authors | Asher Peres |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905084 |
| URL | https://arxiv.org/abs/quant-ph/9905084 |
| DOI | 10.1002/(SICI)1521-3978(200005)48:5/7<531::AID-PROP531>3.0.CO;2-# |
| Journal | Fortsch.Phys. 48 (2000) 531-535 |
Abstract
Statistical tests are needed to determine experimentally whether a hypothetical theory based on local realism can be an acceptable alternative to quantum mechanics. It is impossible to rule out local realism by a single test, as often claimed erroneously. The ``strength'' of a particular Bell inequality is measured by the number of trials that are needed to invalidate local realism at a given confidence level. Various versions of Bell's inequality are compared from this point of view. It is shown that Mermin's inequality for Greenberger-Horne-Zeilinger states requires fewer tests than the Clauser-Horne-Shimony-Holt inequality or than its chained variants applied to a singlet state, and also than Hardy's proof of nonlocality.
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"abstract": "Statistical tests are needed to determine experimentally whether a\nhypothetical theory based on local realism can be an acceptable alternative to\nquantum mechanics. It is impossible to rule out local realism by a single test,\nas often claimed erroneously. The ``strength\u0027\u0027 of a particular Bell inequality\nis measured by the number of trials that are needed to invalidate local realism\nat a given confidence level. Various versions of Bell\u0027s inequality are compared\nfrom this point of view. It is shown that Mermin\u0027s inequality for\nGreenberger-Horne-Zeilinger states requires fewer tests than the\nClauser-Horne-Shimony-Holt inequality or than its chained variants applied to a\nsinglet state, and also than Hardy\u0027s proof of nonlocality.",
"arxiv_id": "quant-ph/9905084",
"authors": [
"Asher Peres"
],
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"quant-ph"
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"doi": "10.1002/(SICI)1521-3978(200005)48:5/7\u003c531::AID-PROP531\u003e3.0.CO;2-#",
"journal_ref": "Fortsch.Phys. 48 (2000) 531-535",
"title": "Bayesian analysis of Bell inequalities",
"url": "https://arxiv.org/abs/quant-ph/9905084"
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