  Shortcuts to adiabaticity are well-known methods for controlling the quantum
dynamics beyond the adiabatic criteria, where counter-diabatic (CD) driving
provides a promising means to speed up quantum many-body systems. In this work,
we show the applicability of CD driving to enhance the digitized adiabatic
quantum computing paradigm in terms of fidelity and total simulation time. We
study the state evolution of an Ising spin chain using the digitized version of
the standard CD driving and its variants derived from the variational approach.
We apply this technique in the preparation of Bell and
Greenberger-Horne-Zeilinger states with high fidelity using a very shallow
quantum circuit. We implement this proposal in the IBM quantum computer,
proving its usefulness for the speed up of adiabatic quantum computing in noisy
intermediate-scale quantum devices.
