Fourier Synthesis Methods for Control of Inhomogeneous Quantum Systems
Brent Pryor, Navin Khaneja
TL;DR
This paper introduces Fourier synthesis control laws to compensate for parameter dispersions in quantum systems, enhancing precision in NMR spectroscopy and imaging.
Contribution
It presents a novel Fourier synthesis method for designing control laws to address inhomogeneities in quantum system dynamics.
Findings
Effective compensation of dispersions demonstrated in NMR models
Improved control accuracy over traditional composite pulse techniques
Applicable to quantum information processing and imaging
Abstract
Finding control laws (pulse sequences) that can compensate for dispersions in parameters which govern the evolution of a quantum system is an important problem in the fields of coherent spectroscopy, imaging, and quantum information processing. The use of composite pulse techniques for such tasks has a long and widely known history. In this paper, we introduce the method of Fourier synthesis control law design for compensating dispersions in quantum system dynamics. We focus on system models arising in NMR spectroscopy and NMR imaging applications.
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Taxonomy
TopicsAdvanced MRI Techniques and Applications · Advanced NMR Techniques and Applications · NMR spectroscopy and applications