Discrete-valued-pulse optimal control algorithms: Application to spin systems
Discrete-valued-pulse optimal control algorithms: Application to spin systems
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DOI：
10.1103/physreva.92.043417
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发表时间：
2015-10-22
影响因子：
2.9
通讯作者：
Sugny, D.
中科院分区：
文献类型：
--
作者：
Dridi, G.;Lapert, M.;Sugny, D.
本文的目的是将最优控制技术的框架推广到控制场值受限于有限集的情况。我们提出了适合于这一约束的标准GRPE算法的推广。我们测试了这种方法对具有不同偏移量频率的非均匀自旋系综的反转的有效性和效率。结果表明，即使在离散值非常有限的情况下，也能获得显著的效率。讨论了它在核磁共振中的一些应用。
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.