  A dynamics regime of Rydberg atoms, unselective ground-state blockade (UGSB),
is proposed in the context of Rydberg antiblockade (RAB), where the evolution
of two atoms is suppressed when they populate in an identical ground state.
UGSB is used to implement a SWAP gate in one step without individual addressing
of atoms. Aiming at circumventing common issues in RAB-based gates including
atomic decay, Doppler dephasing, and fluctuations in the interatomic coupling
strength, we modify the RAB condition to achieve a dynamical SWAP gate whose
robustness is much greater than that of the nonadiabatic holonomic one in the
conventional RAB regime. In addition, on the basis of the proposed SWAP gates,
we further investigate the implementation of a three-atom Fredkin gate by
combining Rydberg blockade and RAB. The present work may facilitate to
implement the RAB-based gates of strongly coupled atoms in experiment.
