Non-Gaussianity of quantum states: An experimental test on single-photon-added coherent states

Marco Barbieri, Nicolò Spagnolo, Marco G. Genoni, Franck Ferreyrol, Rémi Blandino, Matteo G. A. Paris, Philippe Grangier, Rosa Tualle-Brouri · Physical Review A · 2010

Non-Gaussian states and processes are useful resources in quantum information with continuous variables. An experimentally accessible criterion has been proposed to measure the degree of non-Gaussianity of quantum states based on the conditional entropy of the state with a Gaussian reference. Here we adopt such a criterion to characterize an important class of nonclassical states: single-photon-added coherent states. Our studies demonstrate the reliability and sensitivity of this measure and use it to quantify how detrimental is the role of experimental imperfections in our implementation.

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