Contextual logic for quantum systems

Details Contextual logic for quantum systems Contextual logic for quantum systems

2007-02-02

arxiv.org/abs/quant-ph/0702023v1

J. Math. Phys. 46 (2005) 012102

Physics

Quantum Physics

16 pages, no figures

Scientific paper

10.1063/1.1819525

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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