dorsal/arxiv
View SchemaQuantum measurements and Kolmogorovian probability theory
| Authors | D. A. Slavnov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301027 |
| URL | https://arxiv.org/abs/quant-ph/0301027 |
Abstract
We establish connections between the requirement of measurability of a probability space and the principle of complimentarity in quantum mechanics. It is shown that measurability of a probability space implies the dependence of results of quantum measurement not only on the properties of a quantum object under consideration, but also on the classical characteristics of the measuring device which is used. We show that if one takes into account the requirement of measurability in a quantum case, the Bell inequality does not follow from the hypothesis about the existence of an objective reality.
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"abstract": "We establish connections between the requirement of measurability of a\nprobability space and the principle of complimentarity in quantum mechanics. It\nis shown that measurability of a probability space implies the dependence of\nresults of quantum measurement not only on the properties of a quantum object\nunder consideration, but also on the classical characteristics of the measuring\ndevice which is used. We show that if one takes into account the requirement of\nmeasurability in a quantum case, the Bell inequality does not follow from the\nhypothesis about the existence of an objective reality.",
"arxiv_id": "quant-ph/0301027",
"authors": [
"D. A. Slavnov"
],
"categories": [
"quant-ph",
"hep-th",
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"title": "Quantum measurements and Kolmogorovian probability theory",
"url": "https://arxiv.org/abs/quant-ph/0301027"
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