Generation of Greenberger-Horne-Zeilinger and W states for stationary qubits in a spin network via resonance scattering

We propose a simple scheme to establish entanglement among stationary qubits based on the mechanism of resonance scattering between them and a single-spin-flip wave packet in designed spin network. It is found that through the natural dynamical evolution of an incident single-spin-flip wave packet in a spin network and the subsequent measurement of the output single-spin-flip wave packet, multipartite entangled states among n stationary qubits, Greenberger-Horne-Zeilinger (GHZ), and W states can be generated with success probabilities P-GHZ=2/parallel to 1+t(-n)parallel to(2) and P-W=parallel to t parallel to(2)/n, respectively, where t is the transmission amplitude of the near-resonance scattering.