dorsal/arxiv
View SchemaKochen-Specker theorem and experimental test on hidden variables
| Authors | Adan Cabello |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911022 |
| URL | https://arxiv.org/abs/quant-ph/9911022 |
| DOI | 10.1142/S0217751X00002020 |
| Journal | Int. J. Mod. Phys. A 15 (2000) 2813 |
Abstract
A recent proposal to experimentally test quantum mechanics against noncontextual hidden-variable theories [Phys. Rev. Lett. 80, 1797 (1998)] is shown to be related with the smallest proof of the Kochen-Specker theorem currently known [Phys. Lett. A 212, 183 (1996)]. This proof contains eighteen yes-no questions about a four-dimensional physical system, combined in nine mutually incompatible tests. When these tests are considered as tests about a two-part two-state system, then quantum mechanics and non-contextual hidden variables make the same predictions for eight of them, but make different predictions for the ninth. Therefore, this ninth test would allow us to discriminate between quantum mechanics and noncontextual hidden-variable theories in a (gedanken) single run experiment.
{
"annotation_id": "12f23bb8-f3a2-46fb-9471-216d9d9731a9",
"date_created": "2026-03-02T18:02:48.410000Z",
"date_modified": "2026-03-02T18:02:48.410000Z",
"file_hash": "7fdead58e708eec42bca93668ad187639e61212ff6ea2ddd8c38a114290698c5",
"private": false,
"record": {
"abstract": "A recent proposal to experimentally test quantum mechanics against\nnoncontextual hidden-variable theories [Phys. Rev. Lett. 80, 1797 (1998)] is\nshown to be related with the smallest proof of the Kochen-Specker theorem\ncurrently known [Phys. Lett. A 212, 183 (1996)]. This proof contains eighteen\nyes-no questions about a four-dimensional physical system, combined in nine\nmutually incompatible tests. When these tests are considered as tests about a\ntwo-part two-state system, then quantum mechanics and non-contextual hidden\nvariables make the same predictions for eight of them, but make different\npredictions for the ninth. Therefore, this ninth test would allow us to\ndiscriminate between quantum mechanics and noncontextual hidden-variable\ntheories in a (gedanken) single run experiment.",
"arxiv_id": "quant-ph/9911022",
"authors": [
"Adan Cabello"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217751X00002020",
"journal_ref": "Int. J. Mod. Phys. A 15 (2000) 2813",
"title": "Kochen-Specker theorem and experimental test on hidden variables",
"url": "https://arxiv.org/abs/quant-ph/9911022"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "775c16d0-78ba-4f4d-8550-d72242cc6cbc",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}