Regulation of Entanglement and Geometric Quantum Discord of Hybrid Superconducting Qubits for Circuit QED

We investigate the dynamic evolution behaviors of entanglement and geometric quantum discord (GQD) of hybrid qubits in a circuit QED system. Under certain initial conditions, interactions between qubits and that between the qubit and the cavity can suppress the decay of entanglement and GQD of qubits. Under the initial condition |psi (Q) (0)> (I) =sin alpha|a dagger"a dagger aOE(a)+cos alpha|a dagger a dagger"aOE(a), such decay was avoided by increasing the coupling strength ratio between qubits and that between the qubit and the cavity. Under the aforementioned condition, the survival time of entanglement and GQD was prolonged by decreasing the coupling strength ratio between qubits and that between the qubit and the cavity.