Geometric control of concurrence and quantum gate operations in triangular triple quantum dots

doi:10.1088/1674-1056/adec5d

中国物理B ›› 2026, Vol. 35 ›› Issue (2): 20302-020302.doi: 10.1088/1674-1056/adec5d

Geometric control of concurrence and quantum gate operations in triangular triple quantum dots

Junqing Li(李俊青)†, Shuo Dong(董硕), and Jianhua Wei(魏建华)‡

Department of Physics, Renmin University of China, Beijing 100876, China

收稿日期:2025-05-06 修回日期:2025-07-07 接受日期:2025-07-07 发布日期:2026-01-27
通讯作者: Junqing Li, Jianhua Wei E-mail:lijunqing@ruc.edu.cn;wjh@ruc.edu.cn
基金资助:
This work is supported by the National Natural Science Foundation of China (Grant Nos. 12274454, 11774418, 11374363, 11674317, 11974348, 11834014, and 21373191), the Strategic Priority Research Program of CAS (Grant Nos. XDB28000000 and XDB33000000), the Training Program of Major Research Plan of the National Natural Science Foundation of China (Grant No. 92165105), the Outstanding Innovative Talents Cultivation Funded Programs 2023 of Renmin University of China, the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China.

Geometric control of concurrence and quantum gate operations in triangular triple quantum dots

Junqing Li(李俊青)†, Shuo Dong(董硕), and Jianhua Wei(魏建华)‡

Department of Physics, Renmin University of China, Beijing 100876, China

Received:2025-05-06 Revised:2025-07-07 Accepted:2025-07-07 Published:2026-01-27
Contact: Junqing Li, Jianhua Wei E-mail:lijunqing@ruc.edu.cn;wjh@ruc.edu.cn
Supported by:
This work is supported by the National Natural Science Foundation of China (Grant Nos. 12274454, 11774418, 11374363, 11674317, 11974348, 11834014, and 21373191), the Strategic Priority Research Program of CAS (Grant Nos. XDB28000000 and XDB33000000), the Training Program of Major Research Plan of the National Natural Science Foundation of China (Grant No. 92165105), the Outstanding Innovative Talents Cultivation Funded Programs 2023 of Renmin University of China, the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China.

摘要/Abstract

摘要： As an important index to measure the degree of entanglement in quantum systems, concurrence plays an important role in practical research. In this paper, we study the concurrence between two qubits in triangular triple quantum dot structure. Through calculation and simulation, it is found that concurrence is mainly affected by the interdot coupling strength $t$, Coulomb interaction $U$, temperature $T$, and electrode coupling $\varGamma$. Through comparative studies with parallel triple quantum dot structures, we demonstrate that the triangular geometry exhibits significantly enhanced concurrence under identical conditions. In addition, under the condition that concurrence exceeds 0.9, the functional relationship between $t$ and $U$ is obtained through simulation, which provides theoretical support for quantum dot regulation under high entanglement. Finally, we demonstrate the feasibility of implementing a three-qubit quantum gate, using the Toffoli gate as a representative example, under the condition that the triangular triple quantum dot system maintains high entanglement.

关键词: transition coupling interaction, triangular triple quantum dots, quantum entanglement, Coulomb interaction, quantum computing

Abstract: As an important index to measure the degree of entanglement in quantum systems, concurrence plays an important role in practical research. In this paper, we study the concurrence between two qubits in triangular triple quantum dot structure. Through calculation and simulation, it is found that concurrence is mainly affected by the interdot coupling strength $t$, Coulomb interaction $U$, temperature $T$, and electrode coupling $\varGamma$. Through comparative studies with parallel triple quantum dot structures, we demonstrate that the triangular geometry exhibits significantly enhanced concurrence under identical conditions. In addition, under the condition that concurrence exceeds 0.9, the functional relationship between $t$ and $U$ is obtained through simulation, which provides theoretical support for quantum dot regulation under high entanglement. Finally, we demonstrate the feasibility of implementing a three-qubit quantum gate, using the Toffoli gate as a representative example, under the condition that the triangular triple quantum dot system maintains high entanglement.

Key words: transition coupling interaction, triangular triple quantum dots, quantum entanglement, Coulomb interaction, quantum computing

中图分类号: (Entanglement production and manipulation)

03.67.Bg

81.07.Ta (Quantum dots) 03.67.Hk (Quantum communication) 03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.67.Ac (Quantum algorithms, protocols, and simulations)

Junqing Li(李俊青), Shuo Dong(董硕), and Jianhua Wei(魏建华). Geometric control of concurrence and quantum gate operations in triangular triple quantum dots[J]. 中国物理B, 2026, 35(2): 20302-020302.

Junqing Li(李俊青), Shuo Dong(董硕), and Jianhua Wei(魏建华). Geometric control of concurrence and quantum gate operations in triangular triple quantum dots[J]. Chin. Phys. B, 2026, 35(2): 20302-020302.

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Geometric control of concurrence and quantum gate operations in triangular triple quantum dots

Geometric control of concurrence and quantum gate operations in triangular triple quantum dots

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