dorsal/arxiv
View SchemaA Topological Study of Contextuality and Modality in Quantum Mechanics
| Authors | Graciela Domenech, Hector Freytes, Christian de Ronde |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612227 |
| URL | https://arxiv.org/abs/quant-ph/0612227 |
| DOI | 10.1007/s10773-007-9595-8 |
| Journal | International Journal of Theoretical Physics 47 (2008) 168-174 |
Abstract
Kochen-Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen-Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system.
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"abstract": "Kochen-Specker theorem rules out the non-contextual assignment of values to\nphysical magnitudes. Here we enrich the usual orthomodular structure of quantum\nmechanical propositions with modal operators. This enlargement allows to refer\nconsistently to actual and possible properties of the system. By means of a\ntopological argument, more precisely in terms of the existence of sections of\nsheaves, we give an extended version of Kochen-Specker theorem over this new\nstructure. This allows us to prove that contextuality remains a central feature\neven in the enriched propositional system.",
"arxiv_id": "quant-ph/0612227",
"authors": [
"Graciela Domenech",
"Hector Freytes",
"Christian de Ronde"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-007-9595-8",
"journal_ref": "International Journal of Theoretical Physics 47 (2008) 168-174",
"title": "A Topological Study of Contextuality and Modality in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0612227"
},
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