A discrete-pulse optimal control algorithm with an application to spin systems

TL;DR

This paper introduces a generalized GRAPE algorithm for optimal control with discrete control values, demonstrating its efficiency in spin system inversion and potential applications in Nuclear Magnetic Resonance.

Contribution

It presents a novel extension of the GRAPE algorithm to handle finite control value sets, improving control efficiency in spin systems.

Findings

Effective control with limited discrete values in spin systems

High efficiency achieved in ensemble inversion tasks

Potential applications in Nuclear Magnetic Resonance

Abstract

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 a generalization 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.