A Review of Geometric Optimal Control for Quantum Systems in Nuclear Magnetic Resonance

We present a geometric framework to analyze optimal control problems of uncoupled spin 1/2 particles occurring in nuclear magnetic resonance. According to the Pontryagin's maximum principle, the optimal trajectories are solutions of a pseudo-Hamiltonian system. This computation is completed by...

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Bibliographic Details
Main Authors: Bernard Bonnard, Steffen J. Glaser, Dominique Sugny
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2012/857493