  One can implement fast two-qubit entangling gates by exploiting the Rydberg
blockade. Although various theoretical schemes have been proposed,
experimenters have not yet been able to demonstrate two-atom gates of high
fidelity due to experimental constraints. We propose a novel scheme, which only
uses a single Rydberg pulse illuminating both atoms, for the construction of
neutral-atom controlled-phase gates. In contrast to the existing schemes, our
approach is simpler to implement and requires neither individual addressing of
atoms nor adiabatic procedures. With parameters estimated based on actual
experimental scenarios, a gate fidelity higher than 0.99 is achievable.
