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Quantum Hamiltonian and dipole moment identification in presence of large control perturbations

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Date
2017
Link to item file
https://hal.archives-ouvertes.fr/hal-01068969
Dewey
Sciences connexes (physique, astrophysique)
Sujet
Physique quantique
Journal issue
ESAIM: Control, Optimisation and Calculus of Variations
Volume
23
Number
3
Publication date
2017
Article pages
1129-1143
DOI
http://dx.doi.org/10.1051/cocv/2016026
URI
https://basepub.dauphine.fr/handle/123456789/16327
Collections
  • CEREMADE : Publications
Metadata
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Author
Fu, Ying
Turinici, Gabriel
Type
Article accepté pour publication ou publié
Abstract (EN)
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.

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