We propose a general approach to implement nonadiabatic geometric single- and two-qubit gates beyond the rotating wave approximation (RWA). This protocol is compatible with most optimal control methods used in previous RWA protocols; thus, it is as robust as (or even more robust than) the RWA protocols. Using counter-rotating effects allows us to apply strong drives. Therefore, we can improve the gate speed by 5--10 times compared to the RWA counterpart for implementing high-fidelity (≥99.99%) gates. Such an ultrafast evolution (nanoseconds, even picoseconds) significantly reduces the influence of decoherence (e.g., the qubit dissipation and dephasing). Moreover, because the counter-rotating effects no longer induce gate infidelities (in both the weak and strong driving regimes), we can achieve a higher fidelity compared to the RWA protocols. Therefore, in the presence of decoherence, one can implement ultrafast geometric quantum gates with ≥99% fidelities.
@article{arxiv.2203.06831,
title = {Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives},
author = {Ye-Hong Chen and Adam Miranowicz and Xi Chen and Yan Xia and Franco Nori},
journal= {arXiv preprint arXiv:2203.06831},
year = {2022}
}