Chattering Phenomenon in Quantum Optimal Control - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles New Journal of Physics Year : 2022

Chattering Phenomenon in Quantum Optimal Control

Abstract

We present a quantum optimal control problem which exhibits a chattering phenomenon. This is the first instance of such a process in quantum control. Using the Pontryagin Maximum Principle and a general procedure due to V. F. Borisov and M. I. Zelikin, we characterize the local optimal synthesis, which is then globalized by a suitable numerical algorithm. We illustrate the importance of detecting chattering phenomena because of their impact on the efficiency of numerical optimization procedures.

Dates and versions

hal-03716708 , version 1 (07-07-2022)

Identifiers

Cite

Rémi Robin, Ugo Boscain, Mario Sigalotti, Dominique Sugny. Chattering Phenomenon in Quantum Optimal Control. New Journal of Physics, 2022, 24, pp.123037. ⟨hal-03716708⟩
72 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More