Abstract:
The control of multiple homonuclear spin systems is a long-standing problem in nuclear magnetic resonance (NMR). In this paper, we introduce the brachistchrone algorithm ...Show MoreMetadata
Abstract:
The control of multiple homonuclear spin systems is a long-standing problem in nuclear magnetic resonance (NMR). In this paper, we introduce the brachistchrone algorithm to local unitary control of such systems, which usually take a long operation time to discriminate because of their small resonant frequency differences. We show that for this particular problem the model can be reduced from 2N-dimensional to 2N-dimensional for a N-spin system. Numerical simulations demonstrates the effectiveness of the algorithm.
Published in: 2017 36th Chinese Control Conference (CCC)
Date of Conference: 26-28 July 2017
Date Added to IEEE Xplore: 11 September 2017
ISBN Information:
Electronic ISSN: 1934-1768
Center for Quantum Information Science and Technology, TNList, Beijing, P.R., China
Department of Automation, Tsinghua University, Beijing, P.R., China
Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, China
Hearne Institute for Theoretical Physics, Louisiana State University, Baton Rouge, LA, USA
Center for Quantum Information Science and Technology, TNList, Beijing, P.R., China
Department of Automation, Tsinghua University, Beijing, P.R., China
Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, China
Hearne Institute for Theoretical Physics, Louisiana State University, Baton Rouge, LA, USA