The problem of recovering the Hamiltonian and dipole moment is considered in a bilinear quantum control framework. The process uses as inputs some measurable quantities (observables) for each admissible control. If the implementation of the control is noisy the data available is only in the form of probability laws of the measured observable. Nevertheless it is proved that the inversion process still has unique solutions (up to phase factors). Both additive and multiplicative noises are considered. Numerical illustrations support the theoretical results.
Accepté le :
DOI : 10.1051/cocv/2016026
Mots clés : Quantum control, quantum identification
@article{COCV_2017__23_3_1129_0,
author = {Fu, Ying and Turinici, Gabriel},
title = {Quantum {Hamiltonian} and dipole moment identification in presence of large control perturbations},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {1129--1143},
publisher = {EDP-Sciences},
volume = {23},
number = {3},
year = {2017},
doi = {10.1051/cocv/2016026},
mrnumber = {3660462},
zbl = {1364.93156},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/cocv/2016026/}
}
TY - JOUR AU - Fu, Ying AU - Turinici, Gabriel TI - Quantum Hamiltonian and dipole moment identification in presence of large control perturbations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2017 SP - 1129 EP - 1143 VL - 23 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2016026/ DO - 10.1051/cocv/2016026 LA - en ID - COCV_2017__23_3_1129_0 ER -
%0 Journal Article %A Fu, Ying %A Turinici, Gabriel %T Quantum Hamiltonian and dipole moment identification in presence of large control perturbations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2017 %P 1129-1143 %V 23 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2016026/ %R 10.1051/cocv/2016026 %G en %F COCV_2017__23_3_1129_0
Fu, Ying; Turinici, Gabriel. Quantum Hamiltonian and dipole moment identification in presence of large control perturbations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 3, pp. 1129-1143. doi : 10.1051/cocv/2016026. http://archive.numdam.org/articles/10.1051/cocv/2016026/
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