Quantum computation via Floquet-tailored Rydberg interactions

Abstract: Rydberg atoms stand out as a highly promising platform for realizing quantum computation with significant advantages in constructing high-fidelity quantum gates. Floquet frequency modulation (FFM), in Rydberg-atom systems, provides a unique platform for achieving precise quantum control and uncovering exotic physical phenomena, paving the way for innovative methodologies in quantum dynamics research. This work introduces a method to realize controlled arbitrary phase gates in Rydberg atoms by manipulating system dynamics using FFM. Notably, this method eliminates the need for laser addressing of individual atoms, significantly enhancing convenience for future practical applications. Furthermore, this approach can be integrated with soft quantum control strategies to enhance the fidelity and robustness of the resultant controlled-phase gates. Finally, as an example, this methodology is applied in Grover-Long algorithm to search target items with zero failure rate, demonstrating its substantial significance for future quantum information processing applications. This work leveraging Rydberg atoms and Floquet frequency modulation may herald a new era of scalable and reliable quantum computing.