Weak Values and Quantum Nonlocality

Abstract

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 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".

11 pages, 2 figures. To be published in "Quantum Nonlocality and Reality", ed. by Mary Bell and Shan Gao, CUP 2015