A topological study of contextuality and modality in quantum mechanics
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...
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2008
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v47_n1_p168_Domenech http://hdl.handle.net/20.500.12110/paper_00207748_v47_n1_p168_Domenech |
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paper:paper_00207748_v47_n1_p168_Domenech2023-06-08T14:41:56Z A topological study of contextuality and modality in quantum mechanics Contextuality Modal Quantum logic Sheaves 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. © 2007 Springer Science+Business Media, LLC. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v47_n1_p168_Domenech http://hdl.handle.net/20.500.12110/paper_00207748_v47_n1_p168_Domenech |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Contextuality Modal Quantum logic Sheaves |
| spellingShingle |
Contextuality Modal Quantum logic Sheaves A topological study of contextuality and modality in quantum mechanics |
| topic_facet |
Contextuality Modal Quantum logic Sheaves |
| description |
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. © 2007 Springer Science+Business Media, LLC. |
| title |
A topological study of contextuality and modality in quantum mechanics |
| title_short |
A topological study of contextuality and modality in quantum mechanics |
| title_full |
A topological study of contextuality and modality in quantum mechanics |
| title_fullStr |
A topological study of contextuality and modality in quantum mechanics |
| title_full_unstemmed |
A topological study of contextuality and modality in quantum mechanics |
| title_sort |
topological study of contextuality and modality in quantum mechanics |
| publishDate |
2008 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v47_n1_p168_Domenech http://hdl.handle.net/20.500.12110/paper_00207748_v47_n1_p168_Domenech |
| _version_ |
1768544305449795584 |