Hidden variables and quantum logic ? A sceptical review

Roberto Giuntini

G. Ortelli, Mattia Rigotti

Donald Hockney

Sylvia Pulmannová

Emilio Santos

I review the relation of the Bell inequalities - characteristic of (classical) probabilities defined on Boolean logics - with noncontextual and local hidden variables theories of quantum mechanics and with quantum information.

Jarosław Pykacz, Emilio Santos

Various impossibility proofs for hidden variables theories produced within the quantum logic approach are analyzed. A very general form of n-term Bell-type inequalities is given. From these inequalities a new impossibly proof for hidden variables theories able to reproduce all numerical results of quantum mechanics follows.