Preparation and non-classicality of non-Gaussian quantum states based on catalytic quantum scissors

Abstract

Based on the quantum scissor device proposed by Pegg et al, this paper implements a non-Gaussian quantum state preparation scheme. When considering the quantum photocatalysis of single-photon input and single-photon detection, the equivalent operator of catalytic quantum scissors is given in order to understand the physical nature of quantum scissors. When the coherent state is taken as the input state, for an asymmetric beam splitter, the output state can be truncated to zero photon, single photon and two photon components; for a symmetric beam splitter, the output state is only truncated to zero photon and two photon components. The non-classicality of the prepared non-Gaussian quantum states is discussed by the average photon number, signal-to-noise ratio, squeezing effcet and Wigner function. These results show that the output states can present strong non-classicality when modulating the amplitude of the coherent state and transmissivity of beam splitter.