Protective measurements: extracting the expectation value by measuring a single particle

Fabrizio Piacentini; Alessio Avella; Enrico Rebufello; Salvatore Virzì; Rudi Lussana; Federica Villa; Alberto Tosi; Marco Gramegna; Giorgio Brida; Eliahu Cohen; Lev Vaidman; Ivo Pietro Degiovanni; Marco Genovese

doi:10.1117/12.2307692

21 May 2018 Protective measurements: extracting the expectation value by measuring a single particle

Fabrizio Piacentini, Alessio Avella, Enrico Rebufello, Salvatore Virzì, Rudi Lussana, Federica Villa, Alberto Tosi, Marco Gramegna, Giorgio Brida, Eliahu Cohen, Lev Vaidman, Ivo Pietro Degiovanni, Marco Genovese

Author Affiliations +

Proceedings Volume 10674, Quantum Technologies 2018; 106740Q (2018) https://doi.org/10.1117/12.2307692
Event: SPIE Photonics Europe, 2018, Strasbourg, France

Abstract

In quantum mechanics, the eigenvalues and their corresponding probabilities specify the expectation value of a physical observable, which is known to be a statistical property related to large ensembles of particles. In contrast to this paradigm, we demonstrate a unique method allowing to extract the expectation value of a single particle, namely, the polarisation of a single protected photon, with a single experiment. This is the first realisation of quantum protective measurements.

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Fabrizio Piacentini, Alessio Avella, Enrico Rebufello, Salvatore Virzì, Rudi Lussana, Federica Villa, Alberto Tosi, Marco Gramegna, Giorgio Brida, Eliahu Cohen, Lev Vaidman, Ivo Pietro Degiovanni, and Marco Genovese "Protective measurements: extracting the expectation value by measuring a single particle", Proc. SPIE 10674, Quantum Technologies 2018, 106740Q (21 May 2018); https://doi.org/10.1117/12.2307692

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