Experimental Observation of Quantum Correlations in Modular Variables

We experimentally detect entanglement in modular position and momentum variables of photon pairs which have passed through \(D\)-slit apertures. We first employ an entanglement criteria recently proposed in [Phys. Rev. Lett. {\bf 106}, 210501 (2011)], using variances of the modular variables. We the...

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Bibliographic Details
Published in:arXiv.org 2012-08
Main Authors: Carvalho, M A D, Ferraz, J, Borges, G F, de Assis, P L, Pádua, S, Walborn, S P
Format: Article
Language:English
Subjects:
Apertures
Correlation
Criteria
Entanglement
Entropy
Entropy (Information theory)
Quantum theory
Steering
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Summary:We experimentally detect entanglement in modular position and momentum variables of photon pairs which have passed through \(D\)-slit apertures. We first employ an entanglement criteria recently proposed in [Phys. Rev. Lett. {\bf 106}, 210501 (2011)], using variances of the modular variables. We then propose an entanglement witness for modular variables based on the Shannon entropy, and test it experimentally. Finally, we derive criteria for Einstein-Podolsky-Rosen-Steering correlations using variances and entropy functions. In both cases, the entropic criteria are more successful at identifying quantum correlations in our data.
ISSN:2331-8422
DOI:10.48550/arxiv.1208.6222