dorsal/arxiv
View SchemaContextual logic for quantum systems
| Authors | Graciela Domenech, Hector Freytes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702023 |
| URL | https://arxiv.org/abs/quant-ph/0702023 |
| DOI | 10.1063/1.1819525 |
| Journal | J. Math. Phys. 46 (2005) 012102 |
Abstract
In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated to the Boolean sublattices of the ortholattice of closed subspaces of the Hilbert space of the physical system. Differently to standard quantum logics, the contextual logic maintains a distributive lattice structure and a good definition of implication as a residue of the conjunction.
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"abstract": "In this work we build a quantum logic that allows us to refer to physical\nmagnitudes pertaining to different contexts from a fixed one without the\ncontradictions with quantum mechanics expressed in no-go theorems. This logic\narises from considering a sheaf over a topological space associated to the\nBoolean sublattices of the ortholattice of closed subspaces of the Hilbert\nspace of the physical system. Differently to standard quantum logics, the\ncontextual logic maintains a distributive lattice structure and a good\ndefinition of implication as a residue of the conjunction.",
"arxiv_id": "quant-ph/0702023",
"authors": [
"Graciela Domenech",
"Hector Freytes"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1819525",
"journal_ref": "J. Math. Phys. 46 (2005) 012102",
"title": "Contextual logic for quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0702023"
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