Sufficient condition for a quantum state to be genuinely quantum non-Gaussian

Abstract

The following errors was introduced during the production process. In section 1.3. Outline the final two sentences should be interchanged and read 'In appendix C we derive the asymptotic behavior of the maximum mean value F sG =F sG (c) for the coherent superposition of two squeezed Gaussian states. We conclude in appendix D by describing the model of the dissipation of a quantum state via interaction with a reservoir at zero temperature.' instead of 'We conclude in appendix D by describing the model of the dissipation of a quantum state via interaction with a reservoir at zero temperature. In appendix C we derive the asymptotic behavior of the maximum mean value F sG =F sG (c) for the coherent superposition of two squeezed Gaussian states.' Also, reference [14] has an error in the year of publication. It should read 'Straka I, Lachman L, Hloušek J, Miková M, Mičuda M, Ježek M and Filip R 2018 npj Quantum Inf. 4 4' not 'Straka I, Lachman L, Hloušek J, Miková M, Mičuda M, Ježek M and Filip R 2016 npj Quantum Inf. 4 4'.

Entropic nonclassicality and quantum non-Gaussianity tests via beam splitting

“…It may be interesting to compare our QNG criterion with other existing criteria particularly in refs. 58–60 . Unlike the case of the nonclassicality criteria, we do not have a hierarchical relation among these existing QNG criteria and ours.…”

“…For instance, while the criterion in ref. 60 is useful to detect QNG for a finite superposition of Gaussian states, e.g. generalized cat-states as discussed in ref.…”

“…generalized cat-states as discussed in ref. 60 , it is not suitable to address QNG of Fock states. On the other hand, the other criteria in refs.…”

“…58,59 consider the particle nature measuring photon-number distributions, whereas the one in ref. 60 and our criterion consider the wave nature measuring quadrature-amplitude distributions.…”

Interaction signatures and non-Gaussian photon states from a strongly driven atomic ensemble coupled to a nanophotonic waveguide

“…We will quantify the non-Gaussianity of the state of light emitted by the nanofiber through the negativity of the WD [44,45], which can be calculated as the volume of its negative part, i.e. A non-zero δW is symptomatic of a non-Gaussian state of light, while δW = 0 for coherent and squeezed states [46,47].…”