  In a circuit consisting of two or more resonators, the inter-cavity crosstalk
is inevitable, which could create some problems, such as degrading the
performance of quantum operations and the fidelity of various quantum states.
The focus of this work is to propose a crosstalk-insensitive method for
simultaneously coupling multiple pairs of resonators, which is important in
large-scale quantum information processing and communication in a network
consisting of resonators or cavities. In this work, we consider 2N resonators
of different frequencies, which are coupled to a three-level quantum system
(qutrit). By applying a strong pulse to the coupler qutrit, we show that an
effective Hamiltonian can be constructed for simultaneously coupling multiple
pairs of resonators.~The main advantage of this proposal is that the effect of
inter-resonator crosstalks is greatly suppressed by using resonators of
different frequencies. In addition, by employing the qutrit-resonator
dispersive interaction, the intermediate higher-energy level of the qutrit is
virtually excited and thus decoherence from this level is suppressed. This
effective Hamiltonian can be applied to implement quantum operations with
photonic qubits distributed in different resonators. As one application of this
Hamiltonian, we show how to simultaneously generate multiple EPR pairs of
photonic qubits distributed in 2N resonators. Numerical simulations show that
it is feasible to prepare two high-fidelity EPR photonic pairs using a setup of
four one-dimensional transmission line resonators coupled to a superconducting
flux qutrit with current circuit QED technology.
