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We consider the propagation of light beams through disordered lattices ofcoupled waveguides searching for Anderson localization and investigating theevolution of nonclassical properties of injected quantum states. We assume thatthe beam is initially in a variety of states, such as the complementarycoherent state, the reciprocal binomial state, and the polynomial state. Thestatistical properties of the evolved states were analyzed numerically asfunctions of the localization/delocalization parameters averaged over manyrealizations of disorder. We also numerically reconstruct the Wigner functionof the output state. Interestingly, we find that high values of the disordertend to preserve quantum properties of some input states when we look at theinput waveguide despite the coupling between it and the neighboring waveguides.

Nonclassical properties and Anderson localization of quantum states in coupled waveguides