Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems

doi:10.1088/1674-1056/ae6b38

中国物理B ›› 2026, Vol. 35 ›› Issue (8): 80302-080302.doi: 10.1088/1674-1056/ae6b38

Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems

Qinglong Tian(田清龙)¹ and Youneng Guo(郭有能)^2,†

1 School of Computer Science and Engineering, Changsha University, Changsha 410022, China;
2 School of Electronic Information and Electrical Engineering, Changsha University, Changsha 410022, China

收稿日期:2026-03-18 修回日期:2026-04-20 接受日期:2026-05-11 发布日期:2026-08-06
通讯作者: Youneng Guo E-mail:guoxuyan2007@163.com
基金资助:
Project supported by the Natural Science Foundation of Hunan Province, China (Grant No. 2025JJ50382) and the Program of Changsha Excellent Young Talents (Grant Nos. kq1905005, kq2009076, kq2106071, kq2206052, and kq2305029).

Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems

Qinglong Tian(田清龙)¹ and Youneng Guo(郭有能)^2,†

1 School of Computer Science and Engineering, Changsha University, Changsha 410022, China;
2 School of Electronic Information and Electrical Engineering, Changsha University, Changsha 410022, China

Received:2026-03-18 Revised:2026-04-20 Accepted:2026-05-11 Published:2026-08-06
Contact: Youneng Guo E-mail:guoxuyan2007@163.com
Supported by:
Project supported by the Natural Science Foundation of Hunan Province, China (Grant No. 2025JJ50382) and the Program of Changsha Excellent Young Talents (Grant Nos. kq1905005, kq2009076, kq2106071, kq2206052, and kq2305029).

摘要/Abstract

摘要： Nonclassicality is seen as an important physical resource and offers quantum advantages in modern quantum information processing. Motivated by recent work on the interplay between Bell nonlocality and nonclassicality quantified by average correlation [Phys. Rev. Res. 5 023063 (2023)], in this paper we aim to establish the intrinsic relationship between the average correlation and the violation of the three-setting linear steering inequality for arbitrary two-qubit states. The results suggest that average correlation is closely related to the violation of the three-setting linear steering inequality, like its relationship with Bell inequality violation. Moreover, the dynamical behaviors of average correlation and steering are carefully analyzed under the influence of local unital and nonunital noisy channels. Particularly, for any two-qubit states, the hierarchy of average correlation-steering-Bell nonlocality is demonstrated by using the singular value decomposition theorem.

关键词: quantum steering, Bell nonlocality, nonclassicality

Abstract: Nonclassicality is seen as an important physical resource and offers quantum advantages in modern quantum information processing. Motivated by recent work on the interplay between Bell nonlocality and nonclassicality quantified by average correlation [Phys. Rev. Res. 5 023063 (2023)], in this paper we aim to establish the intrinsic relationship between the average correlation and the violation of the three-setting linear steering inequality for arbitrary two-qubit states. The results suggest that average correlation is closely related to the violation of the three-setting linear steering inequality, like its relationship with Bell inequality violation. Moreover, the dynamical behaviors of average correlation and steering are carefully analyzed under the influence of local unital and nonunital noisy channels. Particularly, for any two-qubit states, the hierarchy of average correlation-steering-Bell nonlocality is demonstrated by using the singular value decomposition theorem.

Key words: quantum steering, Bell nonlocality, nonclassicality

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.65.Yz (Decoherence; open systems; quantum statistical methods)

Qinglong Tian(田清龙) and Youneng Guo(郭有能). Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems[J]. 中国物理B, 2026, 35(8): 80302-080302.

Qinglong Tian(田清龙) and Youneng Guo(郭有能). Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems[J]. Chin. Phys. B, 2026, 35(8): 80302-080302.

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Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems

Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems

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