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| related topics |
| {observables, space, algebra} |
| {vol, operators, histories} |
| {operator, operators, space} |
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Contextual logic for quantum systems
Graciela Domenech, Hector Freytes
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0702023
- categories:
- quant-ph
- comments:
- 16 pages, no figures
- doi:
- 10.1063/1.1819525
- arxiv_id:
- quant-ph/0702023
- journal_ref:
- J. Math. Phys. 46 (2005) 012102
- created:
- 2007-02-02
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