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Hamiltonian Identification Through Enhanced Observability Utilizing Quantum Control.

Rouchon, Pierre; Rabitz, Herschel; Turinici, Gabriel; Leghtas, Zaki (2012), Hamiltonian Identification Through Enhanced Observability Utilizing Quantum Control., IEEE Transactions on Automatic Control, 57, 10, p. 2679-2683. http://dx.doi.org/10.1109/TAC.2012.2190209

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00674698
Date
2012
Journal name
IEEE Transactions on Automatic Control
Volume
57
Number
10
Publisher
IEEE
Pages
2679-2683
Publication identifier
http://dx.doi.org/10.1109/TAC.2012.2190209
Metadata
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Author(s)
Rouchon, Pierre cc
Rabitz, Herschel
Turinici, Gabriel cc
Leghtas, Zaki cc
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]
Subjects / Keywords
Time measurement; quantum control; observability proof; Observability; Manganese; Laboratories; Hamiltonian identification; Electric variables measurement; Eigenvalues and eigenfunctions

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