We reported on experimental verification of quantum non-Gaussianity of a heralded single photon state with positive Wigner function [arXiv:1107.4305]. We unambiguously demonstrated that the generated state cannot be expressed as a mixture of Gaussian states. A sufficient information to witness
Hadamard gate for coherent state qubits

We have experimentally demonstrated a single mode Hadamard gate for coherent state qubits by using a hybrid projector system consisting of a conditional homodyne detector and a photon counter. This implementation constitutes the first step towards the demonstration of quantum

