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Heralded processes on continuous-variable spaces as quantum maps

Abstract : Conditional evolution is crucial for generating non-Gaussian resources for quantum information tasks in the continuous variable scenario. However, tools are lacking for a convenient representation of heralded process in terms of quantum maps for continuous variable states, in the same way as Wigner functions are able to give a compact description of the quantum state. Here we propose and study such a representation, based on the introduction of a suitable transfer function to describe the action of a quantum operation on the Wigner function. We also reconstruct the maps of two relevant examples of conditional process, that is, noiseless amplification and photon addition, by combining experimental data and a detailed physical model. This analysis allows to fully characterize the effect of experimental imperfections in their implementations.
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https://hal-iogs.archives-ouvertes.fr/hal-00701913
Contributor : Franck Ferreyrol <>
Submitted on : Friday, July 6, 2012 - 9:39:30 AM
Last modification on : Wednesday, September 16, 2020 - 5:41:56 PM
Long-term archiving on: : Thursday, December 15, 2016 - 8:30:18 PM

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Franck Ferreyrol, Nicolò Spagnolo, Rémi Blandino, Marco Barbieri, Rosa Tualle-Brouri. Heralded processes on continuous-variable spaces as quantum maps. Physical Review A, American Physical Society, 2012, 86 (6), pp.062327. ⟨10.1103/PhysRevA.86.062327⟩. ⟨hal-00701913v2⟩

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