  We analyze an entangling protocol to generate tripartite
Greenberger-Horne-Zeilinger states in a system consisting of three
superconducting qubits with pairwise coupling. The dynamics of the open quantum
system is investigated by taking into account the interaction of each qubit
with an independent bosonic bath with an ohmic spectral structure. To this end
a microscopic master equation is constructed and exactly solved. We find that
the protocol here discussed is stable against decoherence and dissipation due
to the presence of the external baths.
