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Certification of non-Gaussian states with operational measurements

Abstract : We derive a theoretical framework for the experimental certification of non-Gaussian features of quantum states using double homodyne detection. We rank experimental non-Gaussian states according to the recently defined stellar hierarchy and we propose practical Wigner negativity witnesses. We simulate various use-cases ranging from fidelity estimation to witnessing Wigner negativity. Moreover, we extend results on the robustness of the stellar hierarchy of non-Gaussian states. Our results illustrate the usefulness of double homodyne detection as a practical measurement scheme for retrieving information about continuous variable quantum states.
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Preprints, Working Papers, ...
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https://hal.sorbonne-universite.fr/hal-02997918
Contributor : Ulysse Chabaud <>
Submitted on : Tuesday, November 10, 2020 - 12:04:31 PM
Last modification on : Friday, January 8, 2021 - 5:46:04 PM

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  • HAL Id : hal-02997918, version 1
  • ARXIV : 2011.04320

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Ulysse Chabaud, Ganaël Roeland, Mattia Walschaers, Frédéric Grosshans, Valentina Parigi, et al.. Certification of non-Gaussian states with operational measurements. 2020. ⟨hal-02997918⟩

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