Maximally entangling tripartite protocols for Josephson phase qubits

We introduce a suit of simple entangling protocols for generating tripartite Greenberger-Horne-Zeilinger and W states in systems with anisotropic exchange interaction $g(XX+YY)+\tilde{g}ZZ$. An interesting example is provided by macroscopic entanglement in Josephson phase qubits with capacitive $(\tilde{g}=0)$ and inductive $(0<\mid \tilde{g}∕g\mid <0.1)$ couplings.