A smoothing monotonic convergent optimal control algorithm for NMR pulse sequence design
Turinici, Gabriel; Salomon, Julien; Nielsen, Niels; Maximov, Ivan (2010), A smoothing monotonic convergent optimal control algorithm for NMR pulse sequence design, The Journal of Chemical Physics, 132, 8, p. Paper 084107. http://dx.doi.org/10.1063/1.3328783
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00454047/fr/
Journal nameThe Journal of Chemical Physics
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Abstract (EN)The past decade has demonstrated increasing interests in using optimal control based methods within coherent quantum controllable systems. The versatility of such methods has been demonstrated with particular elegance within nuclear magnetic resonance (NMR) where natural separation between coherent and dissipative spin dynamics processes has enabled coherent quantum control over long periods of time to shape the experiment to almost ideal adoption to the spin system and external manipulations. This has led to new design principles as well as powerful new experimental methods within magnetic resonance imaging, liquid-state and solid-state NMR spectroscopy. For this development to continue and expand, it is crucially important to constantly improve the underlying numerical algorithms to provide numerical solutions which are optimally compatible with implementation on current instrumentation and at same time are numerically stable and offer fast monotonic convergence towards the target. Addressing such aims, we here present a smoothing monotonically convergent algorithm for pulse sequence design in magnetic resonance which with improved optimization stability lead to smooth pulse sequence easier to implement experimentally and potentially understand within the analytical framework of modern NMR spectroscopy.
Subjects / KeywordsNMR; Monotonic Approach; Pulse Sequence Design; Optimal Control Theory
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Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion Ohtsuki, Yukiyoshi; Teranishi, Yoshiaki; Saalfrank, Peter; Turinici, Gabriel; Rabitz, Herschel (2007) Article accepté pour publication ou publié