Fully efficient time-parallelized quantum optimal control algorithm

Mohamed-Kamel Riahi (1) , Julien Salomon (2) , S. J. Glaser (3) , D Sugny (4)

1 NJIT - New Jersey Institute of Technology [Newark]
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
3 TUM - Technische Universität Munchen - Technical University Munich - Université Technique de Munich
4 ICB - Laboratoire Interdisciplinaire Carnot de Bourgogne

We present a time-parallelization method that enables one to accelerate the computation of quantum optimal control algorithms. We show that this approach is approximately fully efficient when based on a gradient method as optimization solver: the computational time is approximately divided by the number of available processors. The control of spin systems, molecular orientation, and Bose-Einstein condensates are used as illustrative examples to highlight the wide range of applications of this numerical scheme.

Mots clés: 4505+x; 0230Ik; 0545-a

Domaines: Optimisation et contrôle [math.OC]; Electromagnétisme; Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Mohamed-Kamel Riahi, Julien Salomon, S. J. Glaser, D Sugny. Fully efficient time-parallelized quantum optimal control algorithm. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2016, Vol. 93, (Iss. 4 ), pp.043410. ⟨10.1103/PhysRevA.93.043410⟩. ⟨hal-01281726⟩