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

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.

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• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Convex relaxation of discrete vector-valued optimization problems