Events2019 Advances in Quantum Engineering International Meeting
Event submissions
Published
with-doi10.3390/The-2nd-AQE-06232
This submission belongs to the session A. Quantum Computation and Quantum Simulation of the event 2019 Advances in Quantum Engineering International Meeting
Published date
14 Jun, 2019
Citation
ji bian, Yunlan Ji, Min Jiang, domenico D'Alessandro, Xinhua Peng, Time-optimal Control of independent Spin-1/2 Systems under Simultaneous Control, in Proceedings of 2019 Advances in Quantum Engineering International Meeting, Shenzhen, 24 June–26 June 2019, MDPI: Basel, Switzerland, doi: 10.3390/The-2nd-AQE-06232
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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
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
Manuscript
poster_shenzhen_bj.pdf
Narrow-band source of polarization-entangled photons with counterpropagating domain engineering