Weak Values and Quantum Nonlocality

Yakir Aharonov and Eliahu Cohen

Submitted to “Quantum Nonlocality and Reality – 50 Years of Bell’s theorem”

Entanglement and nonlocality are studied in the framework of pre-/post-selected ensembles with the aid of weak measurements and the Two-State-Vector Formalism.  In addition to the EPR-Bohm experiment, we revisit the Hardy and Cheshire Cat experiments, whose entangled pre- or post-selected states give rise to curious phenomena. We then turn to even more peculiar phenomenon suggesting ``emerging correlations'' between independent pre- and post-selected ensembles of particles. This can be viewed as a quantum violation of the classical "pigeonhole principle". Full text

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