Hamiltonian Identification Through Enhanced Observability Utilizing Quantum Control.

Rouchon, Pierre; Rabitz, Herschel; Turinici, Gabriel; Leghtas, Zaki

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

Number

Publisher

IEEE

Pages

2679-2683

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