dorsal/arxiv
View SchemaContradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements
| Authors | A. Gilchrist, P. Deuar, M. D. Reid |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0010024 |
| URL | https://arxiv.org/abs/quant-ph/0010024 |
| DOI | 10.1103/PhysRevLett.80.3169 |
| Journal | Phys. Rev. Lett. {\bf 80},3169 (1998) |
Abstract
We demonstrate a contradiction of quantum mechanics with local hidden variable theories for continuous variable quadrature phase amplitude (``position'' and ``momentum'') measurements, by way of a violation of a Bell inequality. For any quantum state, this contradiction is lost for situations where the quadrature phase amplitude results are always macroscopically distinct. We show that for optical realisations of this experiment, where one uses homodyne detection techniques to perform the quadrature phase amplitude measurement, one has an amplification prior to detection, so that macroscopic fields are incident on photodiode detectors. The high efficiencies of such detectors may open a way for a loophole-free test of local hidden variable theories.
{
"annotation_id": "44aae2b7-a8ee-4546-aba8-c0e25fab4b8b",
"date_created": "2026-03-02T18:01:42.585000Z",
"date_modified": "2026-03-02T18:01:42.585000Z",
"file_hash": "730a1b1ac1f08b23530c661b4f261a872b9e38a0056c53e2108ce1bb7bca7db6",
"private": false,
"record": {
"abstract": "We demonstrate a contradiction of quantum mechanics with local hidden\nvariable theories for continuous variable quadrature phase amplitude\n(``position\u0027\u0027 and ``momentum\u0027\u0027) measurements, by way of a violation of a Bell\ninequality. For any quantum state, this contradiction is lost for situations\nwhere the quadrature phase amplitude results are always macroscopically\ndistinct. We show that for optical realisations of this experiment, where one\nuses homodyne detection techniques to perform the quadrature phase amplitude\nmeasurement, one has an amplification prior to detection, so that macroscopic\nfields are incident on photodiode detectors. The high efficiencies of such\ndetectors may open a way for a loophole-free test of local hidden variable\ntheories.",
"arxiv_id": "quant-ph/0010024",
"authors": [
"A. Gilchrist",
"P. Deuar",
"M. D. Reid"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.80.3169",
"journal_ref": "Phys. Rev. Lett. {\\bf 80},3169 (1998)",
"title": "Contradiction of Quantum Mechanics with Local Hidden Variables for Continuous Variable Quadrature Phase Amplitude Measurements",
"url": "https://arxiv.org/abs/quant-ph/0010024"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b67055d6-9da1-49ec-822c-1072a590dad0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}