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ACS Style

Domenico D'alessandro; Xinhua Peng; Yunlan Ji; Ji Bian; Min Jiang. Time-optimal Control of independent Spin-1/2 Systems under Simultaneous Control. Proceedings of 2019 Advances in Quantum Engineering International Meeting 2019, 1 .

AMA Style

Domenico D'alessandro, Xinhua Peng, Yunlan Ji, Ji Bian, Min Jiang. Time-optimal Control of independent Spin-1/2 Systems under Simultaneous Control. Proceedings of 2019 Advances in Quantum Engineering International Meeting. 2019; ():1.

Chicago/Turabian Style

Domenico D'alessandro; Xinhua Peng; Yunlan Ji; Ji Bian; Min Jiang. 2019. "Time-optimal Control of independent Spin-1/2 Systems under Simultaneous Control." Proceedings of 2019 Advances in Quantum Engineering International Meeting , no. : 1.

Time-optimal Control of independent Spin-1/2 Systems under Simultaneous Control

1  Department of Mathematics, Iowa State University, Ames, Iowa 50011, USA
2  CAS Key Laboratory of Microscale Magnetic Resonance and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China

Abstract: We derive the explicit solution of the problem of time-optimal control (TOC) by a common magnetic fields for two independent spin-1/2 particles. Our approach is based on the Pontryagin Maximum Princple (PMP) and a novel symmetry reduction technique. We experimentally implement the optimal control via a home-built zero and ultralow filed NMR spectrometer. This is the first analytical solution and experimental demonstration of time-optimal control in such a system and it provides a route to achieve time optimal control in more general quantum systems.

Keywords: TOC, symmetry, spin, PMP, explicit, Simultaneous, filed, time optimal, Ultralow

Published: 14 June 2019 in Proceedings of 2019 Advances in Quantum Engineering International Meeting

https://doi.org/10.3390/the-2nd-aqe-06232

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