2020/11/09 by Ulysse Chabaud, Ganaël Roeland, Mattia Walschaers +4 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/prxquantum.2.020333
published as PRX Quantum 2, 020333 (2021) · 9+9 pages, comments welcome
arxiv created 2020/11/09 · arxiv updated 2021/06/09
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.