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Position error is treated as the leading obstacle that prevents Rydbergantiblockade gates from being experimentally realizable, because of theinevitable fluctuations in the relative motion between two atoms invalidatingthe antiblockade condition. In this work we report progress towards ahigh-tolerance antiblockade-based Rydberg SWAP gate enabled by the use of {\itmodified} antiblockade condition combined with carefully-optimized laserpulses. Depending on the optimization of diverse pulse shapes our protocolshows that the amount of time-spent in the double Rydberg state can beshortened by more than $70\%$ with respect to the case using {\it perfect}antiblockade condition, which significantly reduces this position error.Moreover, we benchmark the robustness of the gate via taking account of thetechnical noises, such as the Doppler dephasing due to atomic thermal motion,the fluctuations in laser intensity and laser phase and the intensityinhomogeneity. As compared to other existing antiblockade-gate schemes thepredicted gate fidelity is able to maintain at above 0.91 after a veryconservative estimation of various experimental imperfections, especiallyconsidered for realistic interaction deviation of $\delta V/V\approx 5.92\%$ at$T\sim20$ $\mu$K. Our work paves the way to the experimental demonstration ofRydberg antiblockade gates in the near future.

High-tolerance antiblockade SWAP gates using optimal pulse drivings