Quantum-Catalyzed Squeezed Vacuum State with Single-Photon Measurement and its Nonclassicality

We propose a theoretical scheme to generate a new kind of non-Gaussian state, called single-photon quantum-catalyzed squeezed vacuum state (SPQCSVS), by using a squeezed vacuum state as the input state of quantum-optical catalysis with single-photon detection. After successful detection, SPQCSVS is a superposition of squeezed vacuum state (SVS) and two-photon excited SVS. The success probability of the detection also was derived and then the nonclassical properties of SPQCSVS were analytically studied in terms of photon number distribution, Mandel’s parameter, second-order correlation function, quadrature squeezing, and the negativity of Wigner function(WF). It is found that the SPQCSVS is highly nonclassical and its nonclassicality depends on the input squeezing parameter λ and the transmissivity T of beam splitter (BS). In particular, the negative volume of WF for SPQCSVS can be largened by increasing the input squeezing parameter λ or decreasing the transmissivity T of BS. Therefore, by modulating these parameters to improve and enhance the nonclassicality of SPQCSVS, it is possible to enhance the performance applying in the fields of quantum information and quantum computation.