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  • Heralded processes on continuous-variable spaces as quantum maps

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    Author(s)
    Ferreyrol, Franck
    Spagnolo, Nicolò
    Blandino, Rémi
    Barbieri, Marco
    Tualle-Brouri, Rosa
    Griffith University Author(s)
    Ferreyrol, Franck M.
    Year published
    2012
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    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 processes 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 a Wigner function. We also reconstruct the maps of two relevant examples of conditional processes, that ...
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    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 processes 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 a Wigner function. We also reconstruct the maps of two relevant examples of conditional processes, that is, noiseless amplification and photon addition, by combining experimental data and a detailed physical model. This analysis allows us to fully characterize the effect of experimental imperfections in their implementations.
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    Journal Title
    Physical Review A
    Volume
    86
    Issue
    6
    DOI
    https://doi.org/10.1103/PhysRevA.86.062327
    Copyright Statement
    © 2012 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
    Subject
    Quantum Physics not elsewhere classified
    Quantum Information, Computation and Communication
    Quantum Optics
    Mathematical Sciences
    Physical Sciences
    Chemical Sciences
    Publication URI
    http://hdl.handle.net/10072/49904
    Collection
    • Journal articles

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