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Quantum correlations from the conditional statistics of incomplete data
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Sperling, J., Bartley, T. J., Donati, G., Barbieri, M., Jin, X.-M., Datta, Animesh, Vogel, W. and Walmsley, I. A. (2016) Quantum correlations from the conditional statistics of incomplete data. Physical Review Letters, 117 (8). 083601. doi:10.1103/PhysRevLett.117.083601 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.117.083601
Abstract
We study, in theory and experiment, the quantum properties of correlated light fields measured with click-counting detectors providing incomplete information on the photon statistics. We establish a correlation parameter for the conditional statistics, and we derive the corresponding nonclassicality criteria for detecting conditional quantum correlations. Classical bounds for Pearson's correlation parameter are formulated that allow us, once they are violated, to determine nonclassical correlations via the joint statistics. On the one hand, we demonstrate nonclassical correlations in terms of the joint click statistics of light produced by a parametric down conversion source. On the other hand, we verify quantum correlations of a heralded, split single-photon state via the conditional click statistics together with a generalization to higher-order moments. We discuss the performance of the presented nonclassicality criteria to successfully discern joint and conditional quantum correlations. Remarkably, our results are obtained without making any assumptions on the response function, quantum efficiency, and dark-count rate of the considered photodiodes.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
| Library of Congress Subject Headings (LCSH): | Quantum optics , Light, Photons | ||||||
| Journal or Publication Title: | Physical Review Letters | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 0031-9007 | ||||||
| Official Date: | 19 August 2016 | ||||||
| Dates: |
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| Volume: | 117 | ||||||
| Number: | 8 | ||||||
| Article Number: | 083601 | ||||||
| DOI: | 10.1103/PhysRevLett.117.083601 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 26 August 2016 | ||||||
| Date of first compliant Open Access: | 30 August 2016 | ||||||
| Funder: | Horizon 2020 (European Commission) (H2020), Italy. Ministero dell'istruzione, dell'università e della ricerca (MIUR), Engineering and Physical Sciences Research Council (EPSRC), European Research Council (ERC) | ||||||
| Grant number: | QCUMbER, 665148 (H2020), EP/K04057X/2, EP/ M01326X/1, EP/M013243/1, EP/K034480/1 (EPSRC), MOQUACIN (ERC) | ||||||
| Open Access Version: |
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