dorsal/arxiv
View SchemaRecursive proof of the Bell-Kochen-Specker theorem in any dimension $n>3$
| Authors | Adan Cabello, Jose M. Estebaranz, Guillermo Garcia-Alcaine |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504217 |
| URL | https://arxiv.org/abs/quant-ph/0504217 |
| DOI | 10.1016/j.physleta.2005.03.067 |
| Journal | Phys. Lett. A 339 (2005) 425 |
Abstract
We present a method to obtain sets of vectors proving the Bell-Kochen-Specker theorem in dimension $n$ from a similar set in dimension $d$ ($3\leq d<n\leq 2d$). As an application of the method we find the smallest proofs known in dimension five (29 vectors), six (31) and seven (34), and different sets matching the current record (36) in dimension eight.
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"abstract": "We present a method to obtain sets of vectors proving the Bell-Kochen-Specker\ntheorem in dimension $n$ from a similar set in dimension $d$ ($3\\leq d\u003cn\\leq\n2d$). As an application of the method we find the smallest proofs known in\ndimension five (29 vectors), six (31) and seven (34), and different sets\nmatching the current record (36) in dimension eight.",
"arxiv_id": "quant-ph/0504217",
"authors": [
"Adan Cabello",
"Jose M. Estebaranz",
"Guillermo Garcia-Alcaine"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2005.03.067",
"journal_ref": "Phys. Lett. A 339 (2005) 425",
"title": "Recursive proof of the Bell-Kochen-Specker theorem in any dimension $n\u003e3$",
"url": "https://arxiv.org/abs/quant-ph/0504217"
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