We reported on experimental verification of quantum non-Gaussianity of a heralded single photon state with positive Wigner function [Phys. Rev. Lett. 107, 213602 (2011)]. We unambiguously demonstrated that the generated state cannot be expressed as a mixture of Gaussian states.
Erf function approximation
Approximation of the error function, $${\rm erf}(z) = \frac{2}{\sqrt{\pi}}\int_{-\infty}^{z}\!{\rm d}x\,{\rm e}^{-x^2},$$ using elementary functions could be useful, particularly for PDC and spatial walk-off simulations… Wikipedia, Sergei Winitzki’s paper