We show how the next nearest neighbor interaction modifies the photon propagation characteristics in 1-D waveguide arrays and how this enables us to realize a 5 partite W state in an array of 5 equally spaced waveguides.
Recently, integrated optic solutions for generating single photon N-partite W states by using a one-dimensional array of N identical single-mode optical waveguides, which are coupled via nearest-neighbour interaction, have been proposed. Due to the particular design of the proposed structure, the tolerances with respect to the length of the device and the input wavelength of the single photon for the generation of the W state are very critical, thus making an experimental realization troublesome. Here, we propose an alternative design of a waveguide array consisting of (2N-1) waveguides to create a single-photon N-partite W state that exhibits much greater tolerance to the fabrication conditions as well as to the input wavelength and hence is much more realizable experimentally. The same design is also shown to lead to the generation of two-photon W-states when using the post selection technique.
As quantum optics grows and develops, new sophisticated optical schemes require an increasing number of optical elements. Integrated photonic circuits have the capacity to provide a solution to this challenge, as they are intrinsically scalable and interferometrically stable. Integrated realization of multi-photon entanglement, quantum factoring algorithms, and polarization entanglement has already been demonstrated. One of particularly interesting structures in integrated photonics is the waveguide array, which enables flexible shaping of optical beam and pulses in space. Recently waveguide arrays have been shown to generate unusual and strongly non-classical spatial correlations of photon pairs propagating in the regime of quantum walks [1].