Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction

doi:10.1088/1674-1056/adeb5e

中国物理B ›› 2025, Vol. 34 ›› Issue (9): 90308-090308.doi: 10.1088/1674-1056/adeb5e

Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction

Xiaoyu Sun(孙晓雨)¹, Lei Qiao(乔雷)^2,†, and Peizi Zhao(赵培茈)^1,‡

1 Department of Physics, Shandong University, Jinan 250100, China;
2 Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China

收稿日期:2025-04-25 修回日期:2025-06-21 接受日期:2025-07-03 出版日期:2025-08-21 发布日期:2025-09-09
通讯作者: Lei Qiao, Peizi Zhao E-mail:qiaolei@buaa.edu.cn;pzzhao@sdu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12305021).

Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction

Xiaoyu Sun(孙晓雨)¹, Lei Qiao(乔雷)^2,†, and Peizi Zhao(赵培茈)^1,‡

1 Department of Physics, Shandong University, Jinan 250100, China;
2 Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China

Received:2025-04-25 Revised:2025-06-21 Accepted:2025-07-03 Online:2025-08-21 Published:2025-09-09
Contact: Lei Qiao, Peizi Zhao E-mail:qiaolei@buaa.edu.cn;pzzhao@sdu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12305021).

摘要/Abstract

摘要： Adiabatic holonomic gates possess the geometric robustness of adiabatic geometric phases, i.e., dependence only on the evolution path of the parameter space but not on the evolution details of the quantum system, which, when coordinated with decoherence-free subspaces, permits additional resilience to the collective dephasing environment. However, the previous scheme [Phys. Rev. Lett. 95 130501 (2005)] of adiabatic holonomic quantum computation in decoherence-free subspaces requires four-body interaction that is challenging in practical implementation. In this work, we put forward a scheme to realize universal adiabatic holonomic quantum computation in decoherence-free subspaces using only realistically available two-body interaction, thereby avoiding the difficulty of implementing four-body interaction. Furthermore, an arbitrary one-qubit gate in our scheme can be realized by a single-shot implementation, which eliminates the need to combine multiple gates for realizing such a gate.

关键词: adiabatic evolution, holonomic quantum computation, decoherence-free subspaces

Abstract: Adiabatic holonomic gates possess the geometric robustness of adiabatic geometric phases, i.e., dependence only on the evolution path of the parameter space but not on the evolution details of the quantum system, which, when coordinated with decoherence-free subspaces, permits additional resilience to the collective dephasing environment. However, the previous scheme [Phys. Rev. Lett. 95 130501 (2005)] of adiabatic holonomic quantum computation in decoherence-free subspaces requires four-body interaction that is challenging in practical implementation. In this work, we put forward a scheme to realize universal adiabatic holonomic quantum computation in decoherence-free subspaces using only realistically available two-body interaction, thereby avoiding the difficulty of implementing four-body interaction. Furthermore, an arbitrary one-qubit gate in our scheme can be realized by a single-shot implementation, which eliminates the need to combine multiple gates for realizing such a gate.

Key words: adiabatic evolution, holonomic quantum computation, decoherence-free subspaces

中图分类号: (Phases: geometric; dynamic or topological)

03.65.Vf

03.67.Lx (Quantum computation architectures and implementations) 03.67.Pp (Quantum error correction and other methods for protection against decoherence)

Xiaoyu Sun(孙晓雨), Lei Qiao(乔雷), and Peizi Zhao(赵培茈). Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction[J]. 中国物理B, 2025, 34(9): 90308-090308.

Xiaoyu Sun(孙晓雨), Lei Qiao(乔雷), and Peizi Zhao(赵培茈). Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction[J]. Chin. Phys. B, 2025, 34(9): 90308-090308.

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Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction

Adiabatic holonomic quantum computation in decoherence-free subspaces with two-body interaction

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