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arxiv: 1412.2987 · v1 · pith:5HNVBHI2new · submitted 2014-12-09 · 🧮 math.OC

Approximate Controllability of the Two Trapped Ions System

classification 🧮 math.OC
keywords controllabilitysystemapproximateionstrappedallowsanalyzebilinear
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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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