Information theoretical limits for quantum optimal control solutions: error scaling of noisy control channels

Year: 2022

Authors: Muller M.M., Gherardini S., Calarco T., Montangero S., Caruso F.

Autors Affiliation: Forschungszentrum Julich GmbH, Peter Grunberg Inst Quantum Control PGI 8, D-52425 Julich, Germany; CNR-INO, Area Science Park, 34149, Basovizza, Trieste, Italy; Department of Physics and Astronomy and LENS, University of Florence, 50019, Sesto Fiorentino, Italy; Institute for Theoretical Physics, University of Cologne, 50937, Cologne, Germany; Department of Physics and Astronomy “G. Galilei”, University of Padua, and INFN Sezione di Padova, 35131, Padua, Italy

Abstract: Accurate manipulations of an open quantum system require a deep knowledge of its controllability properties and the information content of the implemented control fields. By using tools of information and quantum optimal control theory, we provide analytical bounds (information-time bounds) to characterize our capability to control the system when subject to arbitrary sources of noise. Moreover, since the presence of an external noise field induces open quantum system dynamics, we also show that the results provided by the information-time bounds are in very good agreement with the Kofman-Kurizki universal formula describing decoherence processes. Finally, we numerically test the scaling of the control accuracy as a function of the noise parameters, by means of the dressed chopped random basis (dCRAB) algorithm for quantum optimal control.


Volume: 12 (1)      Pages from:   to:

More Information: Open Access funding enabled and organized by Projekt DEAL.
KeyWords: Quantum optimal control, Noisy control channels, Controllability, Information theory
DOI: 10.1038/s41598-022-25770-6