Single-Operation Phase Gates via Dynamic Population Suppression for Arbitrary Rydberg-Rydberg Interactions

Rydberg-mediated two-qubit phase gates exploit the interaction between atoms excited to high-lying Rydberg states. Here, we present a control protocol based on modulated zero-pulse-area fields that dynamically suppresses Rydberg excitation while leveraging Rydberg-Rydberg interactions to generate entanglement. The technique enables single-step, perfectly entangling phase gates for arbitrary blockade strengths, eliminating finite-blockade errors for any ratio between the Rabi frequency and interaction energy. This mechanism defines a new operational regime for Rydberg-blockade quantum logic, combining speed, fidelity, and robustness within a single framework. Owing to its simplicity and generality, the method is adaptable to diverse neutral-atom architectures and is expected to significantly advance high-fidelity quantum computation and simulation.