dorsal/arxiv
View SchemaBell's theorem, quantum mechanical non-locality and atomic cascade photons
| Authors | M. Ardehali |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810058 |
| URL | https://arxiv.org/abs/quant-ph/9810058 |
Abstract
Bell's theorem of 1965 is a proof that all realistic interpretations of quantum mechanics must be non-local. Bell's theorem consists of two parts: first a correlation inequality is derived that must be satisfied by all local realistic theories; second it is demonstrated that quantum mechanical probabilities violate this inequality in certain cases. In the case of ideal experiments, Bell's theorem has been proven. However, in the case of real experiments where polarizers and detectors are non-ideal, the theorem has not yet been proven since the proof always requires some arbitrary and {\em ad hoc} supplementary assumptions. In this paper, we state a new and rather weak supplementary assumption for the ensemble of photons that emerge from the polarizers, and we show that the conjunction of Einstein's locality with this assumption leads to validity of an inequality that is violated by a factor as large as 1.5 in the case of real experiments. Moreover, the present supplementary assumption is considerably weaker and more general than Clauser, Horne, Shimony, Holt supplementary assumption.
{
"annotation_id": "016ce54d-4332-4100-8b10-bd7e1e750a23",
"date_created": "2026-03-02T18:02:45.146000Z",
"date_modified": "2026-03-02T18:02:45.146000Z",
"file_hash": "f6abaf7a3e03c15bcbb16351f924791c7fc118b83c985d487d71e39abffc0806",
"private": false,
"record": {
"abstract": "Bell\u0027s theorem of 1965 is a proof that all realistic interpretations of\nquantum mechanics must be non-local. Bell\u0027s theorem consists of two parts:\nfirst a correlation inequality is derived that must be satisfied by all local\nrealistic theories; second it is demonstrated that quantum mechanical\nprobabilities violate this inequality in certain cases. In the case of ideal\nexperiments, Bell\u0027s theorem has been proven. However, in the case of real\nexperiments where polarizers and detectors are non-ideal, the theorem has not\nyet been proven since the proof always requires some arbitrary and {\\em ad hoc}\nsupplementary assumptions. In this paper, we state a new and rather weak\nsupplementary assumption for the ensemble of photons that emerge from the\npolarizers, and we show that the conjunction of Einstein\u0027s locality with this\nassumption leads to validity of an inequality that is violated by a factor as\nlarge as 1.5 in the case of real experiments. Moreover, the present\nsupplementary assumption is considerably weaker and more general than Clauser,\nHorne, Shimony, Holt supplementary assumption.",
"arxiv_id": "quant-ph/9810058",
"authors": [
"M. Ardehali"
],
"categories": [
"quant-ph"
],
"title": "Bell\u0027s theorem, quantum mechanical non-locality and atomic cascade photons",
"url": "https://arxiv.org/abs/quant-ph/9810058"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "feafec49-5db3-4fff-b159-cd82714d1a08",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}