6533b873fe1ef96bd12d4f5c
RESEARCH PRODUCT
Discrete-valued-pulse optimal control algorithms: Application to spin systems
Ghassen DridiGhassen DridiGhassen DridiSteffen J. GlaserDominique SugnyDominique SugnyM. LapertJulien Salomonsubject
Physics[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Offset (computer science)3280QkInversion (meteorology)010402 general chemistryOptimal control3710Vz01 natural sciencesAtomic and Molecular Physics and Optics0104 chemical sciences7820Bh3280Qk 3710Vz 7820Bh0103 physical sciences[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]010306 general physicsAlgorithmFinite setdescription
International audience; This article is aimed at extending the framework of optimal control techniques to the situation where the control field values are restricted to a finite set. We propose generalizations of the standard GRAPE algorithm suited to this constraint. We test the validity and the efficiency of this approach for the inversion of an inhomogeneous ensemble of spin systems with different offset frequencies. It is shown that a remarkable efficiency can be achieved even for a very limited number of discrete values. Some applications in nuclear magnetic resonance are discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-10-22 |