Approximate Controllability of the Two Trapped Ions System
Esteban Paduro, Mario Sigalotti (CMAP, INRIA Saclay - Ile de France)
TL;DR
This paper proves the approximate controllability of a two trapped ions quantum system modeled by a bilinear Schrödinger equation, introducing a spectral decoupling technique to analyze infinite-dimensional controllability via finite-dimensional methods.
Contribution
It introduces a novel spectral decoupling technique that enables controllability analysis of infinite-dimensional quantum systems through finite-dimensional approximations.
Findings
Proves approximate controllability of the two trapped ions system.
Develops a new spectral decoupling method for analysis.
Bridges infinite-dimensional control problems with finite-dimensional techniques.
Abstract
We prove the approximate controllability of a bilinear Schr\"odinger equation modelling a two trapped ions system. A new spectral decoupling technique is introduced, which allows to analyze the controllability of the infinite-dimensional system through finite-dimensional considerations.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Quantum chaos and dynamical systems · Control Systems and Identification