Abstract
An analytical solution of the master equation that describes two charge superconducting qubits interacts with a single microwave cavity field mode within dispersive approximation and dissipation region of the qubit damping. Quantum correlations of a general two-qubit state (non-X-state) are studied by using three different quantum correlation quantifiers: measurement-induced non-locality, geometric quantum discord and logarithmic negativity. It is shown that the quantum correlations are sensitive to the choice of the parameters of the qubit dissipation rate, coherent state intensity and the initial qubit distribution angle. The generated oscillatory behavior of quantum correlations is different and more prominent as the noise rate decreases at the considered period of time.