# 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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