  Understanding how to tailor quantum dynamics to achieve a desired evolution
is a crucial problem in almost all quantum technologies. We present a very
general method for designing high-efficiency control sequences that are always
fully compatible with experimental constraints on available interactions and
their tunability. Our approach reduces in the end to finding control fields by
solving a set of time-independent linear equations. We illustrate our method by
applying it to a number of physically-relevant problems: the strong-driving
limit of a two-level system, fast squeezing in a parametrically driven cavity,
the leakage problem in transmon qubit gates, and the acceleration of SNAP gates
in a qubit-cavity system.
