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Understanding how to tailor quantum dynamics to achieve a desired evolutionis a crucial problem in almost all quantum technologies. We present a verygeneral method for designing high-efficiency control sequences that are alwaysfully compatible with experimental constraints on available interactions andtheir tunability. Our approach reduces in the end to finding control fields bysolving a set of time-independent linear equations. We illustrate our method byapplying it to a number of physically-relevant problems: the strong-drivinglimit of a two-level system, fast squeezing in a parametrically driven cavity,the leakage problem in transmon qubit gates, and the acceleration of SNAP gatesin a qubit-cavity system.

Engineering Fast High-Fidelity Quantum Operations With Constrained Interactions