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

Yunlan Ji; ji bian; Min Jiang; domenico D'Alessandro; Xinhua Peng

doi:10.3390/The-2nd-AQE-06232

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Narrow-band source of polarization-entangled photons with counterpropagating domain engineering

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

Yunlan Ji

^{1, 2},

ji bian

^{1, 2},

Min Jiang

^{1, 2},

domenico D'Alessandro

^{*

3},

Xinhua Peng

^{*

1, 2, 4}

¹ CAS Key Laboratory of Microscale Magnetic Resonance and Department of Modern Physics, University of Science and Technology of china, Hefei, Anhui 230026, China
² Synergetic Innovation Center of Quantum Information and Quantum Physics, University o Science and Technology of China, Hefei, Anhui 230026, China
³ Department of Mathematics, Iowa State University, Ames, Iowa 50011, USA
⁴ Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

Published: 14 June 2019 by MDPI in 2019 Advances in Quantum Engineering International Meeting session Quantum Computation and Quantum Simulation

https://doi.org/10.3390/The-2nd-AQE-06232

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: quantum control; magnetic resonance; optimal control; magnetometer

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