In this article, we examine a model comprising three Kerr-like nonlinear oscillators with two boundaries that are pumped by external coherent fields and coupled to the center one. We demonstrate that by applying evolution operator formalism, our quantum system can be simulated and behave as a nonlinear quantum scissors, its “truncation” Hilbert space is more efficient. It will be confirmed that the model can produce bipartite and tripartite entanglement, especially W-type entangled states which is a remarkably simple quantum information problem.