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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	Quantum Technologies 2018
Editors	Miles J. Padgett, Andrew J. Shields, Jurgen Stuhler
Publisher	SPIE
ISBN (Electronic)	9781510618749
DOIs	https://doi.org/10.1117/12.2307692
State	Published - 2018
Externally published	Yes
Event	Quantum Technologies 2018 - Strasbourg, France Duration: 23 Apr 2018 → 25 Apr 2018

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	10674
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Quantum Technologies 2018
Country/Territory	France
City	Strasbourg
Period	23/04/18 → 25/04/18

Bibliographical note

Publisher Copyright:
© 2018 SPIE.

Funding

This work has received funding from the European Union’s Horizon 2020 and the EMPIR Participating States in the context of the project EMPIR-14IND05 “MIQC2”, and from the INRIM “Seed” project “GeQuM”. E.C. was supported by ERC AdG NLST. L.V. acknowledges support of the Israel Science Foundation Grant No. 1311/14 and the German-Israeli Foundation for Scientific Research and Development Grant No. I-1275-303.14.

Funders	Funder number
INRIM
European Commission
German-Israeli Foundation for Scientific Research and Development
Israel Science Foundation	1311/14
Horizon 2020	EMPIR-14IND05

Keywords

expectation value
foundations of quantum mechanics
protective measurements
quantum metrology
quantum optics
single photons

Access to Document

10.1117/12.2307692

Cite this

Piacentini, F., Avella, A., Rebufello, E., Virzì, S., Lussana, R., Villa, F., Tosi, A., Gramegna, M., Brida, G., Cohen, E., Vaidman, L., Degiovanni, I. P., & Genovese, M. (2018). Protective measurements: Extracting the expectation value by measuring a single particle. In M. J. Padgett, A. J. Shields, & J. Stuhler (Eds.), Quantum Technologies 2018 Article 106740Q (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10674). SPIE. https://doi.org/10.1117/12.2307692

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title = "Protective measurements: Extracting the expectation value by measuring a single particle",

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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author = "Fabrizio Piacentini and Alessio Avella and Enrico Rebufello and Salvatore Virz{\`i} and Rudi Lussana and Federica Villa and Alberto Tosi and Marco Gramegna and Giorgio Brida and Eliahu Cohen and Lev Vaidman and Degiovanni, \{Ivo Pietro\} and Marco Genovese",

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year = "2018",

doi = "10.1117/12.2307692",

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Piacentini, F, Avella, A, Rebufello, E, Virzì, S, Lussana, R, Villa, F, Tosi, A, Gramegna, M, Brida, G, Cohen, E, Vaidman, L, Degiovanni, IP & Genovese, M 2018, Protective measurements: Extracting the expectation value by measuring a single particle. in MJ Padgett, AJ Shields & J Stuhler (eds), Quantum Technologies 2018., 106740Q, Proceedings of SPIE - The International Society for Optical Engineering, vol. 10674, SPIE, Quantum Technologies 2018, Strasbourg, France, 23/04/18. https://doi.org/10.1117/12.2307692

Protective measurements: Extracting the expectation value by measuring a single particle. / Piacentini, Fabrizio; Avella, Alessio; Rebufello, Enrico et al.
Quantum Technologies 2018. ed. / Miles J. Padgett; Andrew J. Shields; Jurgen Stuhler. SPIE, 2018. 106740Q (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10674).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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

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Keywords

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