Monotonically convergent algorithms for bounded quantum controls

Gabriel Turinici (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

Most of the numerical simulations in quantum (bilinear) control have used one of the monotonically convergent algorithms of Krotov (introduced by Tannor et al. (Tannor et al., 1992)) or of Zhu & Rabitz (Zhu and Rabitz, 1998). Recently(Maday and Turinici, 2002), new schemes have been designed that enlarge the class of monotonic algorithms. Within this context, this paper presents a new algorithm that implements a search for a bounded control with given bounds. Numerical results that illustrate some of the properties of the algorithms introduced are given.

Domaines: Analyse numérique [math.NA]

Gabriel Turinici. Monotonically convergent algorithms for bounded quantum controls. Lagrangian and Hamiltonian Methods in Nonlinear Control 2003, Apr 2003, Sevilla, Spain. pp.233-238. ⟨hal-00691521⟩