State engineering and information distribution over quantum networks via distant manipulations based on quantized momenta of neutral atoms

We propose experimentally feasible schemes for deterministic state engineering of a superposition as well as a variety of entangled states e. g., Bell, GHZ, Cluster and graph states through exploration of the quantized momenta states of the neutral atoms via distant manipulations. Such decoherence-resistant, distantly contrived momenta states are realized using first order, off-resonant Bragg diffraction of the two-level atoms from quantized cavity fields. The state preparation procedure, along with quantized momenta Bragg interactions, also invokes usual resonant and dispersive atom-field interactions and culminates deterministically into the states having overall good fidelities.