dorsal/arxiv
View SchemaEntanglement and Bell Inequalities
| Authors | M. Kupczynski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407199 |
| URL | https://arxiv.org/abs/quant-ph/0407199 |
| Journal | Journal of Russian Laser Research,26,514 (2005) |
Abstract
The entangled quantum states play a key role in quantum information. The association of the quantum state vector with each individual physical system in an attributive way is a source of many false paradoxes and inconsistencies. The paradoxes are avoided if the purely statistical interpretation (SI) of the quantum state vector is adopted. According the SI the quantum theory (QT) does not provide any deterministic prediction for any individual experimental result obtained for a free physical system, for a trapped ion or for a quantum dot. In this article it is shown that if the SI is used then, contrary to the general belief, the QT does not predict for the ideal spin singlet state perfect anti-correlation of the coincidence coumts for the distant detectors. Subsequently the various proofs of the Bell's theorem are reanalyzed and in particular the importance and the implications of the use of the unique probability space in these proofs are elucidated. The use of the unique probability space is shown to be equivalent to the use of the joint probability distributions for the non commuting observables. The experimental violation of the Bell's inequalities proves that the naive realistic particle like spatio- temporal description of the various quantum mechanical experiments is impossible. Of course it does not give any argument for the action at the distance and it does not provide the proof of the completeness of the QM. The fact that the quantum state vector is not an attribute of a single quantum system and that the quantum observables are contextual has to be taken properly into account in any implementation of the quantum computing device.
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"abstract": "The entangled quantum states play a key role in quantum information. The\nassociation of the quantum state vector with each individual physical system in\nan attributive way is a source of many false paradoxes and inconsistencies. The\nparadoxes are avoided if the purely statistical interpretation (SI) of the\nquantum state vector is adopted. According the SI the quantum theory (QT) does\nnot provide any deterministic prediction for any individual experimental result\nobtained for a free physical system, for a trapped ion or for a quantum dot. In\nthis article it is shown that if the SI is used then, contrary to the general\nbelief, the QT does not predict for the ideal spin singlet state perfect\nanti-correlation of the coincidence coumts for the distant detectors.\nSubsequently the various proofs of the Bell\u0027s theorem are reanalyzed and in\nparticular the importance and the implications of the use of the unique\nprobability space in these proofs are elucidated. The use of the unique\nprobability space is shown to be equivalent to the use of the joint probability\ndistributions for the non commuting observables. The experimental violation of\nthe Bell\u0027s inequalities proves that the naive realistic particle like spatio-\ntemporal description of the various quantum mechanical experiments is\nimpossible. Of course it does not give any argument for the action at the\ndistance and it does not provide the proof of the completeness of the QM. The\nfact that the quantum state vector is not an attribute of a single quantum\nsystem and that the quantum observables are contextual has to be taken properly\ninto account in any implementation of the quantum computing device.",
"arxiv_id": "quant-ph/0407199",
"authors": [
"M. Kupczynski"
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"journal_ref": "Journal of Russian Laser Research,26,514 (2005)",
"title": "Entanglement and Bell Inequalities",
"url": "https://arxiv.org/abs/quant-ph/0407199"
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