Leifer, MS; Spekkens, RW; (2005) Pre- and post-selection paradoxes and contextuality in quantum mechanics. PHYS REV LETT , 95 (20) , Article 200405. 10.1103/PhysRevLett.95.200405.

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Abstract

Many seemingly paradoxical effects are known in the predictions for outcomes of intermediate measurements made on pre- and post-selected quantum systems. Despite appearances, these effects do not demonstrate the impossibility of a noncontextual hidden variable theory, since an explanation in terms of measurement disturbance is possible. Nonetheless, we show that for every paradoxical effect wherein all the pre- and post-selected probabilities are 0 or 1 and the pre- and post-selected states are nonorthogonal, there is an associated proof of the impossibility of a noncontextual hidden variable theory. This proof is obtained by considering all the measurements involved in the paradoxical effect-the preselection, the post-selection, and the alternative possible intermediate measurements-as alternative possible measurements at a single time.

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