Abstract
Programmable control and production of quantum light states with required non-classical properties are theoretically demonstrated using the cross-Kerr modulation induced between nonlinearly coupled signal and ancillary quantum field modes. By varying the squeezing and displacement parameters of input modes, it is possible to obtain different types of non-classical field states at the output. High-number Fock states, Schrödinger cat states, and cubic phase states are shown to be almost perfectly produced. The proposed approach gives rise to a tunable method for the synthesis of a wide class of non-classical states of quantum fields critical for quantum computation and quantum information technology.