  We provide a model of a one dimensional quantum network, in the framework of
a lattice using Von Neumann and Wigner's idea of bound states in a continuum.
The localized states acting as qubits are created by a controlled deformation
of a periodic potential. These wave functions lie at the band edges and are
defects in a lattice. We propose that these defect states, with atoms trapped
in them, can be realized in an optical lattice and can act as a model for a
quantum network.
