  We present a simulation method allowing for modeling of quantum dynamics of
nonlinear quantum scissors' (NQS) systems. We concentrate on the two-mode model
involving two mutually interacting nonlinear quantum oscillators (Kerr
nonlinear coupler) excited by a series of ultra-short external coherent pulses.
We show that despite the simplicity of the method one can obtain non-trivial
results. In particular, we discuss and compare two cases of kicked nonlinear
coupler, showing that the quantum evolution of the system remains closed within
a two-qubit Hilbert space and can lead to maximally entangled states
generation.
