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There are a number of tasks in quantum information science that exploitnon-transitional adiabatic dynamics. Such a dynamics is bounded by theadiabatic theorem, which naturally imposes a speed limit in the evolution ofquantum systems. Here, we investigate an approach for quantum state engineeringexploiting a shortcut to the adiabatic evolution, which is based on rapidquenches in a continuous-time Hamiltonian evolution. In particular, thisprocedure is able to provide state preparation faster than the adiabaticbrachistochrone. Remarkably, the evolution time in this approach is shown to beultimately limited by its "thermodynamical cost,"provided in terms of theaverage work rate (average power) of the quench process. We illustrate thisresult in a scenario that can be experimentally implemented in a nuclearmagnetic resonance setup.

Nonadiabatic quantum state engineering driven by fast quench dynamics