The 2-qubit controlled-phase Rydberg-blockade (RB) gate via off-resonant modulated driving (ORMD) has been making significant progress recently. In pursuit of higher fidelity, faster operation, and better robustness, a major upgrade is needed with regard to suppression of high-frequency components in the modulation. A systematic method has been established here for this purpose, quintessentially to filter out the relatively higher-frequency components embedded in the basis functions that generate the modulation wave forms. Meanwhile, the 2-qubit- and multiqubit-gate conditions need to be fulfilled after filtering. It turns out that appropriate entangling-gate-protocol wave forms can be successfully obtained via this method, with the help of numerical procedures. Moreover, it can be further enhanced with adaptations to finite RB strength, as well as the dual-pulse technique to overcome residual thermal motion of qubit atoms. Besides theoretical derivations, we also thoroughly investigate the representative modulation patterns, demonstrating the versatility of ORMD in the RB gate.

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• Noise
• Quantum computation
• Quantum control
• Quantum gates
• Quantum information with atoms & light
• Quantum protocols
• Rydberg atoms & molecules
• Microwave techniques