On Geometric Realization of Quantum Computations in Externally Driven   4-Level System
  The possibility of realization of quantum gates by means of the non-adiabatic geometric phase is considered.   It is shown that the non-adiabatic phase can be used for quantum gates realization as well as the adiabatic one. 
A.E. Shalyt-Margolin, V.I. Strazhev, A.Ya. Tregubovich