dorsal/arxiv
View Schema"Local Realism", Bell's Theorem and Quantum "Locally Realistic" Inequalities
| Authors | Elena R. Loubenets |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309111 |
| URL | https://arxiv.org/abs/quant-ph/0309111 |
| DOI | 10.1007/s10701-005-8662-3 |
| Journal | Foundations of Physics 35, N 12, 2051-2072 (2005) |
Abstract
Based on the new general framework for the probabilistic description of experiments, introduced in quant-ph/0305126, quant-ph/0312199, we analyze in mathematical terms the link between the validity of Bell-type inequalities under joint experiments upon a system of any type and the physical concept of "local realism". We prove that the violation of Bell-type inequalities in the quantum case has no connection with the violation of "local realism". In a general setting, we formulate in mathematical terms a condition on "local realism" under a joint experiment and consider examples of quantum "locally realistic" joint experiments. We, in particular, show that quantum joint experiments of the Alice/Bob type are "locally realistic". For an arbitrary bipartite quantum state, we derive quantum analogs of the original Bell inequality. In view of our results, we argue that the violation of Bell-type inequalities in the quantum case cannot be a valid argument in the discussion on locality or non-locality of quantum interactions.
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"abstract": "Based on the new general framework for the probabilistic description of\nexperiments, introduced in quant-ph/0305126, quant-ph/0312199, we analyze in\nmathematical terms the link between the validity of Bell-type inequalities\nunder joint experiments upon a system of any type and the physical concept of\n\"local realism\". We prove that the violation of Bell-type inequalities in the\nquantum case has no connection with the violation of \"local realism\". In a\ngeneral setting, we formulate in mathematical terms a condition on \"local\nrealism\" under a joint experiment and consider examples of quantum \"locally\nrealistic\" joint experiments. We, in particular, show that quantum joint\nexperiments of the Alice/Bob type are \"locally realistic\". For an arbitrary\nbipartite quantum state, we derive quantum analogs of the original Bell\ninequality. In view of our results, we argue that the violation of Bell-type\ninequalities in the quantum case cannot be a valid argument in the discussion\non locality or non-locality of quantum interactions.",
"arxiv_id": "quant-ph/0309111",
"authors": [
"Elena R. Loubenets"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"math.PR"
],
"doi": "10.1007/s10701-005-8662-3",
"journal_ref": "Foundations of Physics 35, N 12, 2051-2072 (2005)",
"title": "\"Local Realism\", Bell\u0027s Theorem and Quantum \"Locally Realistic\" Inequalities",
"url": "https://arxiv.org/abs/quant-ph/0309111"
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