Physics – Quantum Physics
Scientific paper
2012-02-03
Physics
Quantum Physics
Scientific paper
The usual interpretation of the Greenberger, Horne, Zeilinger (GHZ) theorem is that only nonlocal hidden variables are consistent with quantum mechanics. This conclusion is reasoned from the fact that combinations of results of unperformed non-commutative measurement procedures (counterfactuals) do not agree with quantum mechanical predictions taking non-commutation into account. However, it is shown from simple counter-examples, that combinations of such counterfactuals are inconsistent with classical non-commutative measurement sequences as well. There is thus no regime in which the validity of combined non-commutative counterfactuals may be depended upon. As a consequence, negative conclusions regarding local hidden variables do not follow from the GHZ and Bell theorems as historically reasoned.
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