1. Certification of Non-Gaussian States with Operational Measurements
- Author
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Ganaël Roeland, Mattia Walschaers, Ulysse Chabaud, Valentina Parigi, Damian Markham, Nicolas Treps, Frédéric Grosshans, Institut de Recherche en Informatique Fondamentale (IRIF (UMR_8243)), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Information Quantique [LIP6] (QI), LIP6, Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Kastler Brossel (LKB (Jussieu)), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Japanese French Laboratory for Informatics (JFLI), and National Institute of Informatics (NII)-The University of Tokyo (UTokyo)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Quantum Physics ,Rank (linear algebra) ,Gaussian ,General Engineering ,FOS: Physical sciences ,Negativity effect ,Certification ,01 natural sciences ,010305 fluids & plasmas ,symbols.namesake ,[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] ,Homodyne detection ,0103 physical sciences ,symbols ,General Earth and Planetary Sciences ,Statistical physics ,Quantum Physics (quant-ph) ,010306 general physics ,General Environmental Science ,Mathematics - 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., 9+9 pages, comments welcome
- Published
- 2021
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