Shortcuts to adiabatic for implementing controlled-not gate with superconducting quantum interference device qubits

We propose a protocol to implement controlled-not (C-NOT) gates of two superconducting quantum interference device (SQUID) qubits in a cavity. The Rabi frequencies of driven pulses are designed by means of the shortcuts to adiabaticity. The numerical simulations show that the fidelities of the C-NOT gates are insensitive to the deviations of control parameters. Besides, the C-NOT gates are robust against the decoherent factors, such as spontaneous emissions and dephasings of the SQUID qubits and the decay of the cavity mode. Therefore, the protocol may be useful in the fields of quantum computations.

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