Approximate constructions of counterdiabatic driving with NMR quantum systems

doi:10.1088/1674-1056/ad58b2

Abstract Counterdiabatic driving (CD) offers a fast and robust route to manipulate quantum systems, which has widespread applications in quantum technologies. However, for higher-dimensional complex systems, the exact CD term involving the spectral properties of the system is difficult to calculate and generally takes a complicated form, impeding its experimental realization. Recently, many approximate methods have been proposed for designing CD passages in many-body systems. In this topical review, we focus on the CD formalism and briefly introduce several experimental constructions and applications of approximate CD driving in spin-chain models with nuclear magnetic resonance (NMR) systems.

Keywords: nuclear magnetic resonance quantum simulation quantum state engineering

Received: 30 April 2024
Revised: 13 June 2024
Accepted manuscript online: 15 June 2024

PACS:	03.67.-a	(Quantum information)
	42.50.Dv	(Quantum state engineering and measurements)
	82.56.-b	(Nuclear magnetic resonance)

Fund: Acknowledgments Project supported by the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0303205), the National Natural Science Foundation of China (Grant Nos. 12104282 and 12305014), the Initiative in Quantum Information Technologies of Anhui Province (Grant No. AHY050000), and the Fundamental Research Funds for the Central Universities (Grant Nos. JZ2024HGTB0253 and JZ2023HGTA0172).

Corresponding Authors: Hui Zhou,Xinhua Peng
E-mail: zhouhui9240@163.com;xhpeng@ustc.edu.cn

Cite this article:

Hui Zhou(周辉), Xiaoli Dai(代晓莉), Jianpei Geng(耿建培), Yunlan Ji(季云兰), and Xinhua Peng(彭新华) Approximate constructions of counterdiabatic driving with NMR quantum systems 2024 Chin. Phys. B 33 090301

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