Resilient quantum gates on periodically driven Rydberg atoms

Fault-tolerant implementation of quantum gates is one preconditions for realizing computation. The platform Rydberg atoms the most promising candidates achieving We propose to implement a controlled-$Z$ gate on where an amplitude-modulated field employed induce antiblockade. Gate robustness against fluctuations in Rydberg-Rydberg interaction can be largely enhanced by adjusting field. Furthermore, we introduce Landau-Zener-St\"{u}ckelberg transition target atom so as improve resilience deviation time and drift pulse amplitude. With feasible experimental parameters, achieve with low fidelity errors caused atomic decay, interatomic dipole-dipole force, Doppler effects. Finally, generalize scheme into multiqubit cases, resilient phase obtained step unchanged number qubits increases.