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Quantum non-Gaussianity witnesses in phase space

2014/03/31 by Catherine Hughes, Marco G. Genoni, Tommaso Tufarelli +2
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1103/physreva.90.013810

published as Phys. Rev. A 90, 013810 (2014) · 9 pages, 6 figures

arxiv created 2014/06/17 · openalex publication_date 2014/07/10 · arxiv updated 2014/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We address detection of quantum non-Gaussian states, i.e., nonclassical states that cannot be expressed as a convex mixture of Gaussian states, and present a method to derive a new family of criteria based on generic linear functionals. We then specialize this method to derive witnesses based on s-parametrized quasiprobability functions, generalizing previous criteria based on the Wigner function. In particular, we discuss in detail and analyze the properties of Husimi Q-function-based witnesses and prove that they are often more effective than previous criteria in detecting quantum non-Gaussianity of various kinds of non-Gaussian states evolving in a lossy channel.

Citations