Related papers: Certification of non-Gaussian states with operational measurements

Certification of non-Gaussian states with operational measurements

URL: http://arxiv.org/abs/2011.04320v1
Date: Mon, 9 Nov 2020 10:43:35 GMT
Title: Certification of non-Gaussian states with operational measurements
Authors: Ulysse Chabaud, Gana\"el Roeland, Mattia Walschaers, Fr\'ed\'eric Grosshans, Valentina Parigi, Damian Markham and Nicolas Treps
Abstract summary: We rank experimental non-Gaussian states according to the recently defined stellar hierarchy. We simulate various use-cases ranging from fidelity estimation to witnessing Wigner negativity.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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