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.

纠缠态的最佳生成对量子信息处理具有重要意义。这里提出了一种有效的方案，用于在两个超导量子位之间执行可控和加速的纠缠态生成。库珀对盒电路的两个三级人工原子，耦合到传输线谐振器的量化场，由经典微波单独驱动。在具有大失谐的双光子共振中，每个原子被还原为有效的两能级量子比特。在复合量子位-光子-量子位系统中，可以使用基于不变性的绝热捷径技术来可控制地创建两种类型的纠缠态。与绝热情况相比，以捷径方式产生的纠缠时间要短得多。数值模拟表明，该操作对退相干效应具有鲁棒性，并且原子间的交叉共振可以忽略不计。所提出的方案可能为优化准备电路QED中具有超导量子位的纠缠态铺平道路。