Journal article
E. S. Gómez, W. Nogueira, C. Monken, G. Lima
Optics express, 2011
Optics express, 2011
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Gómez, E. S., Nogueira, W., Monken, C., & Lima, G. (2011). Quantifying the non-Gaussianity of the state of spatially correlated down-converted photons. Optics Express.
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Gómez, E. S., W. Nogueira, C. Monken, and G. Lima. “Quantifying the Non-Gaussianity of the State of Spatially Correlated down-Converted Photons.” Optics express (2011).
MLA
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Gómez, E. S., et al. “Quantifying the Non-Gaussianity of the State of Spatially Correlated down-Converted Photons.” Optics Express, 2011.
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@article{e2011a,
title = {Quantifying the non-Gaussianity of the state of spatially correlated down-converted photons.},
year = {2011},
journal = {Optics express},
author = {Gómez, E. S. and Nogueira, W. and Monken, C. and Lima, G.}
}
Abstract
The state of spatially correlated down-converted photons is usually treated as a two-mode Gaussian entangled state. While intuitively this seems to be reasonable, it is known that new structures in the spatial distributions of these photons can be observed when the phase-matching conditions are properly taken into account. Here, we study how the variances of the near- and far-field conditional probabilities are affected by the phase-matching functions, and we analyze the role of the EPR-criterion regarding the non-Gaussianity and entanglement detection of the spatial two-photon state of spontaneous parametric down-conversion (SPDC). Then we introduce a statistical measure, based on the negentropy of the joint distributions at the near- and far-field planes, which allows for the quantification of the non-Gaussianity of this state. This measure of non-Gaussianity requires only the measurement of the diagonal covariance sub-matrices, and will be relevant for new applications of the spatial correlation of SPDC in CV quantum information processing.