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Open Quantum Systems Decoherence
Quantum Foundations
A Simplified Basis for Bell-Kochen-Specker Theorems
arXiv
Authors: James D. Malley, Arthur Fine
Year
2014
Paper ID
8247
Status
Preprint
Abstract Read
~2 min
Abstract Words
96
Citations
N/A
Abstract
We show that a reduced form of the structural requirements for deterministic hidden variables used in Bell-Kochen-Specker theorems is already sufficient for the no-go results. Those requirements are captured by the following principle: an observable takes a spectral value x if and only if the spectral projector associated with x takes the value 1. We show that the only if part of this condition suffices. The proof identifies an important structural feature behind the no-go results; namely, if at least one projector is assigned the value 1 in any resolution of the identity, then at most one is.
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- This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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- We show that a reduced form of the structural requirements for deterministic hidden variables used in Bell-Kochen-Specker theorems is already sufficient for the no-go results.
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