Nonadiabatic geometric quantum computation with cat-state qubits via invariant-based reverse engineering

@article{Kang2022NonadiabaticGQ,
  title={Nonadiabatic geometric quantum computation with cat-state qubits via invariant-based reverse engineering},
  author={Yi‐Hao Kang and Ye-Hong Chen and Xin Wang and Jie Song and Yan Xia and Adam Miranowicz and Shi-Biao Zheng and Franco Nori},
  journal={Physical Review Research},
  year={2022}
}
We propose a protocol to realize nonadiabatic geometric quantum computation of small-amplitude Schrödinger cat qubits via invariant-based reverse engineering. We consider a system with a two-photon driven Kerr nonlinearity, which can generate a pair of dressed even and odd coherent states (i.e., Schrödinger cat states) for fault-tolerant quantum computations. An additional coherent field is applied to linearly drive a cavity mode, to induce oscillations between dressed cat states. By designing… 
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