  Accurate and efficient quantum control in the presence of constraints and
decoherence is a requirement and a challenge in quantum information processing.
Shortcuts to adiabaticity, originally proposed to speed up slow adiabatic
process, have nowadays become versatile toolboxes for preparing states or
controlling the quantum dynamics. Unique shortcut designs are required for each
quantum system with intrinsic physical constraints, imperfections, and noises.
Here, we implement fast and robust control for the state preparation and state
engineering in a rare-earth ions system. Specifically, the interacting pulses
are inversely engineered and further optimized with respect to inhomogeneities
of the ensemble and the unwanted interaction with other qubits. We demonstrate
that our protocols surpass the conventional adiabatic schemes, by reducing the
decoherence from the excited state decay and inhomogeneous broadening. The
results presented here are applicable to other noisy intermediate scale quantum
systems.
