  We report the study of non-classical light in a photonic lattice having
parabolic coupling distribution, also known as Jx photonic lattice. We focus on
two photon Fock state, two photon N00N state, and single mode squeezed state
along with coherent state as input to the lattice. We investigate the
possibility of perfect transfer of mean photon number as well as quantum state
from one waveguide mode to other. We study photon-photon correlation for two
photon N00N state. For single mode squeezed state we study in detail, the
evolution of squeezing factor and entanglement between the waveguide modes. Our
findings suggest perfect transfer of average photon number for all cases and
perfect transfer of quantum state in case of two photon Fock state and two
photon N00N state only and not in the case of squeezed and coherent state. Our
results should have applications in physical implementation of photonic
continuous variable quantum information processing.
