Controllable and accelerated generation of entangled states between two superconducting qubits in circuit QED

Optimal generation of entangled states is of significance to quantum information processing. Here an efficient scheme is proposed for performing controllable and accelerated generation of entangled states between two superconducting qubits. Two three-level artificial atoms of Cooper-pair box circuits, coupling to a quantized field of transmission-line resonator, are individually driven by classical microwaves. In the two-photon resonance with a large detuning, each atom is reduced to an effective two-level qubit. Within a composite qubit-photon-qubit system, two types of entangled state can be controllably created using the technique of invariant-based shortcuts to adiabaticity. Compared with an adiabatic case, the entanglement generations in the shortcut manner need much shorter times. Numerical simulations show that the operations are robust against decoherence effects, and the interatomic cross resonance is safely negligible. The proposed scheme could pave a promising avenue towards optimized preparation of entangled states with superconducting qubits in circuit QED.