Monotonically convergent algorithms for solving quantum optimal control problems of a dynamical system nonlinearly interacting with a control

Yukiyoshi Ohtsuki, Kazuyuki Nakagami

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

We develop a family of monotonically convergent iterative algorithms for solving a wide class of optimal control problems in which a dynamical system interacts nonlinearly with a control. The key idea is to divide a control into identical components and to introduce auxiliary steps to update each component at every iteration step. The algorithms are proved to exhibit monotonic convergence, which is also numerically confirmed through a case study of the control of molecular orientation. The numerical results show that high-quality solutions can be obtained by using the present algorithms.

Original languageEnglish
Article number033414
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume77
Issue number3
DOIs
Publication statusPublished - 2008 Mar 18

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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