title: Experiment Investigating the Connection between Weak Values and Contextuality.
abstract: Weak value measurements have recently given rise to a great amount of interest in both the possibility of measurement amplification and the chance for further quantum mechanics foundations investigation. In particular, a question emerged about weak values being proof of the incompatibility between quantum mechanics and noncontextual hidden variables theories (NCHVTs). A test to provide a conclusive answer to this question was given by Pusey [Phys. Rev. Lett. 113, 200401 (2014)], where a theorem was derived showing the NCHVT incompatibility with the observation of anomalous weak values under specific conditions. In this Letter we realize this proposal, clearly pointing out the connection between weak values and the contextual nature of quantum mechanics.
authors.affiliation: INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
authors.forename: F
authors.initials: F
authors.lastname: Piacentini
authors.affiliation: INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
authors.forename: A
authors.initials: A
authors.lastname: Avella
authors.affiliation: INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
authors.forename: M P
authors.initials: MP
authors.lastname: Levi
authors.affiliation: Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
authors.forename: R
authors.initials: R
authors.lastname: Lussana
authors.affiliation: Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
authors.forename: F
authors.initials: F
authors.lastname: Villa
authors.affiliation: Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
authors.forename: A
authors.initials: A
authors.lastname: Tosi
authors.affiliation: Politecnico di Milano, Dipartimento di Elettronica, Informazione e Bioingegneria, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.
authors.forename: F
authors.initials: F
authors.lastname: Zappa
authors.affiliation: INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
authors.forename: M
authors.initials: M
authors.lastname: Gramegna
authors.affiliation: INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
authors.forename: G
authors.initials: G
authors.lastname: Brida
authors.affiliation: INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.
authors.forename: I P
authors.initials: IP
authors.lastname: Degiovanni
authors.affiliation: INRIM, Strada delle Cacce 91, I-10135 Torino, Italy.|INFN, Via P. Giuria 1, I-10125 Torino, Italy.
authors.forename: M
authors.initials: M
authors.lastname: Genovese