TY - GEN
T1 - Robust Population Transfer for Coupled Spin Ensembles
AU - Zhang, Wei
AU - Narayanan, Vignesh
AU - Li, Shin
N1 - Funding Information:
*This work was supported in part by the National Science Foundation under the awards CMMI-1462796 and ECCS-1810202, and by the Air Force Office of Scientific Research under the award FA9550-17-1-0166.
Publisher Copyright:
© 2019 IEEE.
PY - 2019/12
Y1 - 2019/12
N2 - Finely manipulating a large population of interacting nuclear spins is an extremely challenging problem arising in wide-ranging applications in quantum science and technology. Prominent examples include the design of robust excitation and inversion pulses for nuclear magnetic resonance spectroscopy and imaging, coordination of spin networks for coherence transfer, and control of superposition and entanglement for quantum computation. In this paper, by integrating the technique of small angle approximation with non-harmonic Fourier analysis, we establish a systematic method to construct robust pulse sequences that neutralize the effect of coupling variations in a spin network. In addition, we explore an alternating optimization procedure for tailoring the constructed pulses to satisfy practical design criteria. We also provide numerical examples to demonstrate the efficacy of the proposed methodology.
AB - Finely manipulating a large population of interacting nuclear spins is an extremely challenging problem arising in wide-ranging applications in quantum science and technology. Prominent examples include the design of robust excitation and inversion pulses for nuclear magnetic resonance spectroscopy and imaging, coordination of spin networks for coherence transfer, and control of superposition and entanglement for quantum computation. In this paper, by integrating the technique of small angle approximation with non-harmonic Fourier analysis, we establish a systematic method to construct robust pulse sequences that neutralize the effect of coupling variations in a spin network. In addition, we explore an alternating optimization procedure for tailoring the constructed pulses to satisfy practical design criteria. We also provide numerical examples to demonstrate the efficacy of the proposed methodology.
UR - http://www.scopus.com/inward/record.url?scp=85082480579&partnerID=8YFLogxK
U2 - 10.1109/CDC40024.2019.9029879
DO - 10.1109/CDC40024.2019.9029879
M3 - Conference contribution
AN - SCOPUS:85082480579
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 419
EP - 424
BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 58th IEEE Conference on Decision and Control, CDC 2019
Y2 - 11 December 2019 through 13 December 2019
ER -