dorsal/arxiv
View SchemaPossible Vulnerability of Bell-Clauser-Horne-Shimony-Holt Tests used for Quantum Certification
| Authors | F. De Zela |
|---|---|
| Categories | |
| ArXiv ID | 2601.07867vv1 |
| URL | https://arxiv.org/abs/2601.07867 |
| Journal | Annalen der Physik 538 (1) e00437, 2026 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
A hidden variables (HVs) model is reported, which reproduces quantum predictions for Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) tests. The existence of such a model poses some limitations to quantum certifications that rely on Bell-CHSH inequality violations. The reported model does not prove wrong Bell's theorem. The latter assumes the factorability of the probability density $p_{AB}$, which rules the stochastic behavior of the HVs. The reported HVs model is based on an extended form of $p_{AB}$, which is suggested by Lebesgue's decomposition theorem for bounded functions. The considered $p_{AB}$ complies with locality and realism, and also with measurement independence, parameter independence and outcome independence.
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"abstract": "A hidden variables (HVs) model is reported, which reproduces quantum predictions for Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) tests. The existence of such a model poses some limitations to quantum certifications that rely on Bell-CHSH inequality violations. The reported model does not prove wrong Bell\u0027s theorem. The latter assumes the factorability of the probability density $p_{AB}$, which rules the stochastic behavior of the HVs. The reported HVs model is based on an extended form of $p_{AB}$, which is suggested by Lebesgue\u0027s decomposition theorem for bounded functions. The considered $p_{AB}$ complies with locality and realism, and also with measurement independence, parameter independence and outcome independence.",
"arxiv_id": "2601.07867",
"authors": [
"F. De Zela"
],
"categories": [
"physics.gen-ph"
],
"journal_ref": "Annalen der Physik 538 (1) e00437, 2026",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Possible Vulnerability of Bell-Clauser-Horne-Shimony-Holt Tests used for Quantum Certification",
"url": "https://arxiv.org/abs/2601.07867",
"version": "v1"
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