Abstract
We study a generalized coupling system between a superconducting qubit and two nanomechanical resonators. When the eigenfrequency of the superconducting qubit is twice the frequency of the resonators, we show that one qubit is able to excite simultaneously two resonators. Moreover, tripartite and bipartite macroscopic entangled states are generated, respectively. We give conditions under which general tripartite and bipartite entangled nonorthogonal states become maximally entangled states. Under a large detuning condition, the coupling between two resonators is induced by a superconducting qubit. This coupling strength can be enhanced via a squeezing transformation.
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