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arXiv · 2207.02246

Robust control of linear systems and shortcut to adiabaticity based on superoscillations

Qi Zhang·Xi Chen·David Guéry-Odelin
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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.

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Qi Zhang, Xi Chen, David Guéry-Odelin. 2022-07-05. Robust control of linear systems and shortcut to adiabaticity based on superoscillations. https://doi.org/10.1103/physrevapplied.18.054055

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