A Simplified Basis for Bell-Kochen-Specker Theorems
Quantum Physics
2015-06-22 v1
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.
Cite
@article{arxiv.1407.4838,
title = {A Simplified Basis for Bell-Kochen-Specker Theorems},
author = {James D. Malley and Arthur Fine},
journal= {arXiv preprint arXiv:1407.4838},
year = {2015}
}
Comments
Accepted for publication: Physics Letters A