Implementation of nonadiabatic holonomic quantum computation via two blockaded Rydberg atoms

Nonadiabatic holonomic quantum computing has received great attention due to its advantages of avoiding long-term evolution of the system and maintaining the robustness of holonomic gates to control errors. In this paper, we study a scheme for implementing nonadiabatic holonomic computation using two blockaded Rydberg atoms. With the presence of the Rydberg blockade effect, we realized controlled-phase gates, which play an irreplaceable role in quantum computation and quantum information processing. Therefore, the current scheme may open up new prospects for the design of new types of effective Rydberg quantum gate devices.