Robust control of linear systems and shortcut to adiabaticity based on superoscillations
arXiv:2207.02246 · doi:10.1103/PhysRevApplied.18.054055
Abstract
With the advent of quantum technologies, control issues are becoming increasingly important. In this article, we address the control in phase space under a global constraint provided by a minimal energy-like cost function and a local (in Fourier space) constraint resulting from a robustness criterion. The inverse engineering Lagrangian formalism developed here generalizes the one commonly used to describe the superoscillation phenomenon. It is applied to both non-dissipative and dissipative quantum mechanics, and extended to stochastic thermodynamics. Interestingly, our approach also allows to improve the sensing capabilities by an appropriate control of the system.
arXiv comment5 pages, 4 figures
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