dorsal/arxiv
View SchemaThe Einstein-Podolsky-Rosen state maximally violates Bell's inequalities
| Authors | Hans Halvorson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009007 |
| URL | https://arxiv.org/abs/quant-ph/0009007 |
| DOI | 10.1023/A:1007609031556 |
| Journal | Lett. Math. Phys. 53 (2000) 321-329 |
Abstract
In their well-known argument against the completeness of quantum theory, Einstein, Podolsky, and Rosen (EPR) made use of a state that strictly correlates the positions and momenta of two particles. We prove the existence and uniqueness of the EPR state as a normalized, positive linear functional of the Weyl algebra for two degrees of freedom. We then show that the EPR state maximally violates Bell's inequalities.
{
"annotation_id": "0b0a795c-3ffc-4bf2-b349-f2208ebae147",
"date_created": "2026-03-02T18:01:38.369000Z",
"date_modified": "2026-03-02T18:01:38.369000Z",
"file_hash": "d724a440017f5554d8350123326a49a51120dea87de0f688210536c19ad7268d",
"private": false,
"record": {
"abstract": "In their well-known argument against the completeness of quantum theory,\nEinstein, Podolsky, and Rosen (EPR) made use of a state that strictly\ncorrelates the positions and momenta of two particles. We prove the existence\nand uniqueness of the EPR state as a normalized, positive linear functional of\nthe Weyl algebra for two degrees of freedom. We then show that the EPR state\nmaximally violates Bell\u0027s inequalities.",
"arxiv_id": "quant-ph/0009007",
"authors": [
"Hans Halvorson"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1023/A:1007609031556",
"journal_ref": "Lett. Math. Phys. 53 (2000) 321-329",
"title": "The Einstein-Podolsky-Rosen state maximally violates Bell\u0027s inequalities",
"url": "https://arxiv.org/abs/quant-ph/0009007"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "772be87b-3241-4786-8698-404cfbeadfa9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}