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When utilizing FFST, one can often obtain viable trajectories through the system’s state space which realize the user’s desired end state. Protocols utilizing FFST with quantum, classical, and stochastic dynamics have also been previously proposed 17, 18. The application of FFST to adiabatic dynamics can produce what are known as shortcuts to adiabaticity (STA) or assisted adiabatic transformations 2, 13, 14, 16.
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The formalism of FFST has previously been extended with great effect to many-body 3 and discrete systems 4, 5, 6, systems of charged particles 7, 8, tunneling dynamics 9, 10, Dirac dynamics 11, 12 and for the acceleration of adiabatic dynamics 13, 14, 15. Thus, both experimentally feasible and nontrivial scaling properties in quantum dynamics are highly desirable to simplify the controls which regulate the time evolution of quantum systems.įast-forward scaling theory (FFST) provides a systematic way for optimally designing control parameters which accelerate, decelerate, or reverse the dynamics of a quantum system 1, 2. However, modification of the speed of quantum dynamics is often complex in general due to both the lack of a simple scaling property in the dynamics as well as the infinitely large parameter spaces which one must generally navigate 1. An essential ingredient to the further development of quantum technologies is the ability to rapidly and accurately control quantum systems in order to overcome the effects of decoherence.