Dynamical description of state mapping and discontinuous entanglement transfer for tripartite systems

We describe the transfer of quantum information and correlations from an entangled tripartite bosonic system to three localized qubits also in the presence of various dissipative effects. Optimal state mapping and entanglement transfer are shown in the framework of optical cavity quantum electrodynamics involving qubit-like radiation states and two-level atoms via the mediation of cavity modes. For an input GHZ state mixed with white noise we show the occurrence of sudden death and birth of tripartite entanglement, that is discontinuously exchanged among the subsystems. Each subsystem can exhibit, in different time intervals, tripartite entanglement of both GHZ and W class