TY - GEN
T1 - NMR Pulse Design using Moment Dynamical Systems
AU - Ning, Xin
AU - De Lima, Andre Luiz P.
AU - Li, Jr Shin
N1 - Funding Information:
This work was supported in part by the National Science Foundation under the awards ECCS-1810202 and CMMI-1933976, and by the Air Force Office of Scientific Research under the award FA9550-21-1-0335.
Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - We investigate pulse design problems arising in diverse applications in quantum science and technology. In modern approaches, pulse design is cast as an ensemble control problem involving the control of a continuum of nuclear spin systems, which, however, is typically challenging to solve. In this paper, we present a new pulse design paradigm by introducing moment representations of the spin ensemble system and transforming the ensemble control problem associated to pulse design to a moment control problem. We show that feasible and optimal pulses can be effectively designed using the moment system with performance guarantees across the entire ensemble. We also illustrate the versatility and robustness of our moment-based approach by designing uniform and selective pulses essential to enable prominent applications in magnetic resonance.
AB - We investigate pulse design problems arising in diverse applications in quantum science and technology. In modern approaches, pulse design is cast as an ensemble control problem involving the control of a continuum of nuclear spin systems, which, however, is typically challenging to solve. In this paper, we present a new pulse design paradigm by introducing moment representations of the spin ensemble system and transforming the ensemble control problem associated to pulse design to a moment control problem. We show that feasible and optimal pulses can be effectively designed using the moment system with performance guarantees across the entire ensemble. We also illustrate the versatility and robustness of our moment-based approach by designing uniform and selective pulses essential to enable prominent applications in magnetic resonance.
UR - http://www.scopus.com/inward/record.url?scp=85146984488&partnerID=8YFLogxK
U2 - 10.1109/CDC51059.2022.9992480
DO - 10.1109/CDC51059.2022.9992480
M3 - Conference contribution
AN - SCOPUS:85146984488
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 5167
EP - 5172
BT - 2022 IEEE 61st Conference on Decision and Control, CDC 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 61st IEEE Conference on Decision and Control, CDC 2022
Y2 - 6 December 2022 through 9 December 2022
ER -