Quantum integrated optics: Theory and applications

In this work we present a brief outlook of the main results of the research work developed by our group on quantum integrated optics. The major research of the group has been focused on integrated optics and besides in the last years several theoretical and applied quantum studies have been made about both linear and nonlinear integrated optical devices. These studies have had as a primary aim to accomplish a rigorous theoretical analysis of both the optical propagation and the characterization of quantum light states in waveguiding devices by means of the Momentum operator and the spatial Heisenberg's equations, and by using also quantum optical propagators calculated by the Feynman's formalism on the optical field-strength multimode space. In this space the probability distributions are well-behaved and moreover they can be measured by multimode homodyne and/or heterodyne detection techniques. Likewise some of the future researching lines on experimental and theoretical quantum integrated optics are indicated.