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Hamiltonian Identification Through Enhanced Observability Utilizing Quantum Control.

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Date
2012
Link to item file
http://hal.archives-ouvertes.fr/hal-00674698
Dewey
Sciences connexes (physique, astrophysique)
Sujet
Time measurement; quantum control; observability proof; Observability; Manganese; Laboratories; Hamiltonian identification; Electric variables measurement; Eigenvalues and eigenfunctions
Journal issue
IEEE Transactions on Automatic Control
Volume
57
Number
10
Publication date
10-2012
Article pages
2679-2683
Publisher
IEEE
DOI
http://dx.doi.org/10.1109/TAC.2012.2190209
URI
https://basepub.dauphine.fr/handle/123456789/10554
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Rouchon, Pierre
Rabitz, Herschel
Turinici, Gabriel
Leghtas, Zaki
Type
Article accepté pour publication ou publié
Abstract (EN)
This note considers Hamiltonian identification for a controllable quantum system with nondegenerate transitions and a known initial state. We assume to have at our disposal a single scalar control input and the population measure of only one state at an (arbitrarily large) final time T. We prove that the quantum dipole moment matrix is locally observable in the following sense: for any two close but distinct dipole moment matrices, we construct discriminating controls giving two different measurements. This result suggests that what may appear at first to be very restrictive measurements are actually rich for identification, when combined with well designed discriminating controls, to uniquely identify the complete dipole moment of such systems. [ABSTRACT FROM AUTHOR]

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