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Error Analysis of Rotating Wave Approximation in Control of Spins in Nuclear Magnetic Resonance Spectroscopy
Journal
Proceedings of the IEEE Conference on Decision and Control
ISSN
07431546
Date Issued
2021-01-01
Author(s)
Sarkar, Sambeda
Paruchuri, Pradyumna
Khaneja, Navin
Abstract
Rotating wave approximation (RWA) is a well-known technique that has been used to obtain analytical solutions in complex quantum optical models. In this article, the problem of approximating the solution to a single input bilinear system by means of RWA is addressed. This is motivated by the calculation of the response of the nuclei in nuclear magnetic resonance (NMR) spectroscopy to an open-loop controller. The paper presents an analysis on the error resulting from RWA in controlling spin states of the nuclei. We prove the applicability of the rotating wave approximation in the control of spin states by providing a bound on the error of approximation. A simulation of the same has been presented to validate the claim.
Volume
2021-December