dorsal/arxiv
View SchemaProof of Kolmogorovian Censorship
| Authors | Gergely Bana, Thomas Durt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9701012 |
| URL | https://arxiv.org/abs/quant-ph/9701012 |
| DOI | 10.1007/BF02551517 |
| Journal | Found.Phys. 27 (1997) 1355-1373 |
Abstract
Many argued (Accardi and Fedullo, Pitowsky) that Kolmogorov's axioms of classical probability theory are incompatible with quantum probabilities, and this is the reason for the violation of Bell's inequalities. Szab\'o showed that, in fact, these inequalities are not violated by the experimentally observed frequencies if we consider the real, ``effective'' frequencies. We prove in this work a theorem which generalizes this result: ``effective'' frequencies associated to quantum events always admit a Kolmogorovian representation, when these events are collected through different experimental set ups, the choice of which obeys a classical distribution.
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"abstract": "Many argued (Accardi and Fedullo, Pitowsky) that Kolmogorov\u0027s axioms of\nclassical probability theory are incompatible with quantum probabilities, and\nthis is the reason for the violation of Bell\u0027s inequalities. Szab\\\u0027o showed\nthat, in fact, these inequalities are not violated by the experimentally\nobserved frequencies if we consider the real, ``effective\u0027\u0027 frequencies. We\nprove in this work a theorem which generalizes this result: ``effective\u0027\u0027\nfrequencies associated to quantum events always admit a Kolmogorovian\nrepresentation, when these events are collected through different experimental\nset ups, the choice of which obeys a classical distribution.",
"arxiv_id": "quant-ph/9701012",
"authors": [
"Gergely Bana",
"Thomas Durt"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/BF02551517",
"journal_ref": "Found.Phys. 27 (1997) 1355-1373",
"title": "Proof of Kolmogorovian Censorship",
"url": "https://arxiv.org/abs/quant-ph/9701012"
},
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