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arxiv: quant-ph/0503072 · v1 · submitted 2005-03-07 · 🪐 quant-ph

Limit points of the monotonic schemes

classification 🪐 quant-ph
keywords algorithmslimitanalysisbilinearcasecontrolcontrolsconvergence
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Many numerical simulations in quantum (bilinear) control use the monotonically convergent algorithms of Krotov (introduced by Tannor), Zhu & Rabitz or the general form of Maday & Turinici. This paper presents an analysis of the limit set of controls provided by these algorithms and a proof of convergence in a particular case.

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