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Journal Articles PRX Quantum Year : 2021

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, and show that certification of high-order non-Gaussian features can be carried out experimentally with current technology.

Dates and versions

hal-02997918 , version 1 (10-11-2020)

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Ulysse Chabaud, Ganaël Roeland, Mattia Walschaers, Frédéric Grosshans, Valentina Parigi, et al.. Certification of Non-Gaussian States with Operational Measurements. PRX Quantum, 2021, 2 (2), pp.020333. ⟨10.1103/PRXQuantum.2.020333⟩. ⟨hal-02997918⟩
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