Bacciagaluppi, Guido and Hermens, Ronnie
(2020)
Reverse Bell's Theorem and Relativity of Pre- and Postselection.
[Preprint]
Abstract
In this paper we prove a Bell's theorem in the setting of postselection ('reverse Bell's theorem'). Specifically, we show under which conditions the Bell inequalities can or cannot be violated with classical postselection, and how this differs from the quantum violations. We then propose a variant of existing experiments that discriminates between quantum violations and classical simulations. The proposed experiment can be adapted to test simultaneously the standard and reverse Bell's theorems. In this case, the distinction between these pre- and postselection effects becomes foliation-dependent.
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