  Berry's approach on "transitionless quantum driving" shows how to set a
Hamiltonian which drives the dynamics of a system along instantaneous
eigenstates of a reference Hamiltonian to reproduce the same final result of an
adiabatic process in a shorter time. In this paper, motivated by transitionless
quantum driving, we construct shortcuts to adiabatic passage in a three-atom
system to create the Greenberger-Horne-Zeilinger states with the help of
quantum Zeno dynamics and of non-resonant lasers. The influence of various
decoherence processes is discussed by numerical simulation and the result
proves that the scheme is fast and robust against decoherence and operational
imperfection.
