Coexistence of Past and Future Measurements' Effects, Predicted by the Two-State-Vector-Formalism and Revealed by Weak Measurement
Yakir Aharonov, Eliahu Cohen, Avshalom C. Elitzur
Abstract
We analyze an idealized experiment in which weak which-path measurements do not prevent consecutive weak interference measurements, and then again the which-path information is recovered by strong measurements. We also show how the same effect can be obtained even by all strong and weak measurements being carried out on a single particle. The simplified setting enables critically assessing competing interpretations of the results. The most natural one turns out to be that of the Two-State-Vector Formalism, according to which the quantum two-state between an earlier and a later measurement is equally determined by both of them.