Dynamical-corrected nonadiabatic geometric quantum computation

doi:10.1007/s11467-023-1322-2

Frontiers of Physics

2023, Vol. 18

Issue (6): 61304 https://doi.org/10.1007/s11467-023-1322-2

本期目录

Dynamical-corrected nonadiabatic geometric quantum computation

Cheng-Yun Ding^1,², Li Chen¹, Li-Hua Zhang^3,¹(

), Zheng-Yuan Xue^2,⁴(

)

¹. School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China
². Key Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education), and School of Physics, South China Normal University, Guangzhou 510006, China
³. School of Electronic Engineering and Intelligent Manufacturing, Anqing Normal University, Anqing 246133, China
⁴. Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, Guangdong-Hong Kong Joint Laboratory of Quantum Matter, and Frontier Research Institute for Physics, South China Normal University, Guangzhou 510006, China

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Abstract：

Recently, nonadiabatic geometric quantum computation has been received great attentions, due to its fast operation and intrinsic error resilience. However, compared with the corresponding dynamical gates, the robustness of implemented nonadiabatic geometric gates based on the conventional single-loop geometric scheme still has the same order of magnitude due to the requirement of strict multi-segment geometric controls, and the inherent geometric fault-tolerance characteristic is not fully explored. Here, we present an effective geometric scheme combined with a general dynamical-corrected technique, with which the super-robust nonadiabatic geometric quantum gates can be constructed over the conventional single-loop geometric and two-loop composite-pulse geometric strategies, in terms of resisting the systematic error, i.e., $σ x$ error. In addition, combined with the decoherence-free subspace (DFS) coding, the resulting geometric gates can also effectively suppress the $σ z$ error caused by the collective dephasing. Notably, our protocol is a general one with simple experimental setups, which can be potentially implemented in different quantum systems, such as Rydberg atoms, trapped ions and superconducting qubits. These results indicate that our scheme represents a promising way to explore large-scale fault-tolerant quantum computation.

Key words： geometric phases dynamical-corrected gates fault-tolerant quantum computation

收稿日期: 2023-04-08 出版日期: 2023-07-11

Corresponding Author(s): Li-Hua Zhang,Zheng-Yuan Xue

引用本文:

. [J]. Frontiers of Physics, 2023, 18(6): 61304.
Cheng-Yun Ding, Li Chen, Li-Hua Zhang, Zheng-Yuan Xue. Dynamical-corrected nonadiabatic geometric quantum computation. Front. Phys. , 2023, 18(6): 61304.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-023-1322-2
https://academic.hep.com.cn/fop/CN/Y2023/V18/I6/61304

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