Robust Control of Linear Systems and Shortcut to Adiabaticity Based on Superoscillations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review D Année : 2022

Robust Control of Linear Systems and Shortcut to Adiabaticity Based on Superoscillations

Résumé

With the advent of quantum technologies, control issues are becoming increasingly important. In this paper, we address control in phase space under a global constraint provided by a minimal energylike cost function and a local (in Fourier space) constraint resulting from a robustness criterion. The inverse-engineering Lagrangian formalism developed here generalizes the formalism commonly used to describe the superoscillation phenomenon. It is applied to both nondissipative and dissipative quantum mechanics, and extended to stochastic thermodynamics. Interestingly, our approach also allows one to improve sensing capabilities by appropriate control of the system.

Dates et versions

hal-04151891 , version 1 (05-07-2023)

Identifiants

Citer

Qi Zhang, Xi Chen, David Guéry-Odelin. Robust Control of Linear Systems and Shortcut to Adiabaticity Based on Superoscillations. Physical Review D, 2022, 18 (5), pp.054055. ⟨10.1103/PhysRevApplied.18.054055⟩. ⟨hal-04151891⟩
50 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More