1202.0841 (Louis Sica)

Logical inconsistency in combining counterfactual results from
non-commutative operations: Deconstructing the GHZ-Bell theorems    [PDF]

Louis Sica

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.

View original: http://arxiv.org/abs/1202.0841