Witnessing the distribution of sources in quantum networks via hierarchical nonlocality

doi:10.1088/1674-1056/add507

中国物理B ›› 2025, Vol. 34 ›› Issue (6): 60303-060303.doi: 10.1088/1674-1056/add507

Witnessing the distribution of sources in quantum networks via hierarchical nonlocality

Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎)†

College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

收稿日期:2025-03-28 修回日期:2025-04-22 接受日期:2025-05-07 出版日期:2025-05-16 发布日期:2025-06-11
通讯作者: Kan He E-mail:hekanquantum@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12271394).

Witnessing the distribution of sources in quantum networks via hierarchical nonlocality

Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎)†

College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

Received:2025-03-28 Revised:2025-04-22 Accepted:2025-05-07 Online:2025-05-16 Published:2025-06-11
Contact: Kan He E-mail:hekanquantum@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12271394).

摘要/Abstract

摘要： Quantum networks with multiple sources always face performance challenges due to the vulnerability of quantum systems. Thus, it is highly desirable to have the capability to continuously monitor and determine the exact number of quantum sources versus classical sources present within the network. Hierarchical network nonlocality can reveal the relationship between network nonlocality and the number of quantum sources within the network, thus becoming a way to address the aforementioned issue. However, up to now, precise hierarchical network nonlocality inequalities have only been established for star networks, and cannot be obtained for other non-star structured networks [Phys. Rev. Lett. 128 010403 (2022) and Phys. Rev. A 110 022617 (2024)]. In this paper, we establish more refined criteria for hierarchical network nonlocality inequalities in arbitrary network structures. Violating such inequalities can reveal the exact number of quantum sources in the network. These results enhance the understanding of quantum source distribution in complex network topologies.

关键词: hierarchical network nonlicality, chain network, arbitrary network

Abstract: Quantum networks with multiple sources always face performance challenges due to the vulnerability of quantum systems. Thus, it is highly desirable to have the capability to continuously monitor and determine the exact number of quantum sources versus classical sources present within the network. Hierarchical network nonlocality can reveal the relationship between network nonlocality and the number of quantum sources within the network, thus becoming a way to address the aforementioned issue. However, up to now, precise hierarchical network nonlocality inequalities have only been established for star networks, and cannot be obtained for other non-star structured networks [Phys. Rev. Lett. 128 010403 (2022) and Phys. Rev. A 110 022617 (2024)]. In this paper, we establish more refined criteria for hierarchical network nonlocality inequalities in arbitrary network structures. Violating such inequalities can reveal the exact number of quantum sources in the network. These results enhance the understanding of quantum source distribution in complex network topologies.

Key words: hierarchical network nonlicality, chain network, arbitrary network

中图分类号: (Quantum communication)

03.67.Hk

03.67.-a (Quantum information) 03.65.-w (Quantum mechanics) 03.65.Aa (Quantum systems with finite Hilbert space)

Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎). Witnessing the distribution of sources in quantum networks via hierarchical nonlocality[J]. 中国物理B, 2025, 34(6): 60303-060303.

Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎). Witnessing the distribution of sources in quantum networks via hierarchical nonlocality[J]. Chin. Phys. B, 2025, 34(6): 60303-060303.

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Witnessing the distribution of sources in quantum networks via hierarchical nonlocality

Witnessing the distribution of sources in quantum networks via hierarchical nonlocality

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