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A possible way of generating nonclassical states of light, especiallynon-Gaussian states, is via the truncation of a given state in the Fock basis.In recent work, we presented an alternative scheme for such quantum scissors[Phys. Rev. A 104, 033715 (2021)], employing a nondegenerate parametricamplifier, a beam splitter and photodetectors. An advantage of this setup isthat it does not require the generation of Fock states beforehand, as inprevious proposals. Here we extend this treatment to mixed input states. Weshow the possibilities of generating truncated states with either a maximumFock number N or states having a minimum Fock number N. We discuss two specificexamples of states to be truncated: i) the thermal state, and ii) thephase-diffused coherent state. In both cases, we show that the generated statescan have significant sub-Poissonian statistics as well as non-Gaussiancharacter. The degree of such nonclassical properties, as well as the successprobabilities, can be changed by adjusting the parametric amplifier strengthand the beam splitter transmittance.

Generation of nonclassical states of light via truncation of mixed states