  Nonadiabatic geometric quantum computation provides a means to perform fast
and robust quantum gates. It has been implemented in various physical systems,
such as trapped ions, nuclear magnetic resonance and superconducting circuits.
Another system being adequate for implementation of nonadiabatic geometric
quantum computation may be Rydberg atoms, since their internal states have very
long coherence time and the Rydberg-mediated interaction facilitates the
implementation of a two-qubit gate. Here, we propose a scheme of nonadiabatic
geometric quantum computation based on Rydberg atoms, which combines the
robustness of nonadiabatic geometric gates with the merits of Rydberg atoms.
