  NOON states play the important roles in quantum information processings and
quantum metrology, but the fidelities of these states generated previously are
limited typically by the practically-unavoidable decoherence and operational
imperfections. Here, we propose an efficient scheme to generate photonic NOON
states alternatively by rapid population passage technique via shortcut to
adiabaticity (STA), rather than the usual Rabi oscillations. Since the
deterministic population passages based on the STAs are insensitive to details
of the operations and can be implemented as fast as the Rabi oscillations, the
fidelity of the generated NOON state could be satisfactorily high. The
feasibility of the proposal is demonstrated specifically with the experimental
circuit QED systems by rapidly driving two artifical qutrits.
