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.
Quantum non-Gaussianity witnesses in phase space / C. Hughes, M.G. Genoni, T. Tufarelli, M.G.A. Paris, M.S. Kim. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 90:1(2014), pp. 013810.1-013810.9. [10.1103/PhysRevA.90.013810]
Quantum non-Gaussianity witnesses in phase space
M.G. GenoniSecondo
;M.G.A. ParisPenultimo
;
2014
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.
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