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Approximate Controllability of the Two Trapped Ions System

Esteban Paduro 1 Mario Sigalotti 2, 3
3 GECO - Geometric Control Design
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France
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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https://hal.inria.fr/hal-01092509
Contributor : Mario Sigalotti <>
Submitted on : Monday, December 8, 2014 - 7:30:02 PM
Last modification on : Thursday, March 5, 2020 - 6:31:15 PM
Document(s) archivé(s) le : Monday, March 9, 2015 - 12:30:57 PM

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  • HAL Id : hal-01092509, version 1
  • ARXIV : 1412.2987

Citation

Esteban Paduro, Mario Sigalotti. Approximate Controllability of the Two Trapped Ions System. Quantum Information Processing, Springer Verlag, 2015, 14, pp.2397-2418. ⟨hal-01092509⟩

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