  We consider fast high-fidelity quantum control by using a shortcut to
adiabaticity (STA) technique and optimal control theory (OCT). Three specific
examples, including expansion of cold atoms from the harmonic trap, atomic
transport by moving harmonic trap, and spin dynamics in the presence of
dissipation, are explicitly detailed. Using OCT as a qualitative guide, we
demonstrate how STA protocols designed from inverse engineering method, can
approach with very high precision optimal solutions built about physical
constraints, by a proper choice of the interpolation function and with a very
reduced number of adjustable parameters.
