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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 |
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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.
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Received: 18 March 2026
Revised: 20 April 2026
Accepted manuscript online: 11 May 2026
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PACS:
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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| Fund: 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). |
Corresponding Authors:
Youneng Guo
E-mail: guoxuyan2007@163.com
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Cite this article:
Qinglong Tian(田清龙) and Youneng Guo(郭有能) Hierarchy of average correlation, quantum steering and Bell nonlocality in two-qubit systems 2026 Chin. Phys. B 35 080302
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[1] Lee C T 1991 Phys. Rev. A 44 R2775
[2] Gehrke C, Sperling J and Vogel W 2012 Phys. Rev. A 86 052118
[3] Wootters W K 1998 Phys. Rev. Lett. 80 2245
[4] Uola R, Costa Ana C S, Chau Nguyen H and Gühne O 2020 Rev. Mod. Phys. 92 015001
[5] Ollivier H and Zurek W H 2001 Phys. Rev. Lett. 88 017901
[6] Luo S L 2008 Phys. Rev. A 77 022301
[7] Brunner N, Cavalcanti D, Pironio S, Scarani V andWehner S 2014 Rev. Mod. Phys. 86 419
[8] Asbóth J K, Calsamiglia J and Ritsch H 2005 Phys. Rev. Lett. 94 173602
[9] Dakić B, Vedeal V and Brukner Č 2010 Phys. Rev. Lett. 105 190502
[10] Bell J S 2004 Speakable and Unspeakable in Quantum Mechanics (Cambridge: Cambridge Univeristy Press)
[11] Clauser J F, Horne M A, Shimony A and Holt R A 1969 Phys. Lett. A bf 23 880
[12] Schrödinger E 1935 “Discussion of probability relations between separated systems”, in Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 31 (Cambridge: Cambridge University Press)
[13] Wiseman H M, Jones S J and Doherty A C 2007 Phys. Rev. Lett. 98 140402
[14] Tupkary D, Tan Ernest Y Z and Lütkenhaus N 2024 Phys. Rev. Res. 6 023002
[15] Griffiths B, Lo Y S, Dynes J F, Woodward R I and Shields A J 2023 Phys. Rev. Appl. 20 044040
[16] Yin J, et al. 2020 Nature 582 501
[17] Zhong H S, Deng Y H, Qin J, et al. 2021 Phys. Rev. Lett. 127 180502
[18] Jebaratnam C, Aravinda S and Srikanth R 2017 Phys. Rev. A 95 032120
[19] Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[20] Zhong W X, Cheng G L and Hu X M 2017 Opt. Express 25 11584
[21] Tschaffon M E N, Seiler J and Freyberger M 2023 Phys. Rev. Res. 5 023063
[22] Tschaffon M E N and Seiler J 2024 Phys. Rev. Res. 6 013186
[23] Horodecki R, Horodecki P and Horodecki M 1995 Phys. Lett. A 200 340
[24] Verstraete F and Wolf M M 2002 Phys. Rev. Lett. 89 170401
[25] Derkacz Ł and Jakóbczyk L 2005 Phys. Rev. A 72 042321
[26] Mazzola L, Bellomo B, Lo Franco R and Compagno G 2010 Phys. Rev. A 81 052116
[27] Horst B, Bartkiewicz K and Miranowicz A 2013 Phys. Rev. A 87 042108
[28] Dong D D, Song X K, Fan X G, Ye L and Wang D 2023 Phys. Rev. A 107 052403
[29] Batle J, Plastino A, Plastino A R and Casas M 2011 J. Phys. A: Math. Theor. 44 505304
[30] Yao Y, Li HW, Li M, Yin Z Q, ChenWand Han Z F 2012 Eur. J. Phys. D 66 295
[31] Kagalwala K H, Giuseppe G D, Abouraddy A F and Saleh B E A 2012 Nat. Photon. 7 72
[32] Svozilík J, Vallés A, Peřina J Jr and Torres J P 2015 Phys. Rev. Lett. 115 220501
[33] Paul B and Mukherjee K 2020 Phys. Rev. A 102 052209
[34] Du M M and Tong D M 2021 Phys. Rev. A 103 032407
[35] Fan X G, Zhao F, Yang H, Ming F,Wang D and Ye L 2023 Front. Phys. 18 11301
[36] Seiler J, Strohm T and Schleich W P 2021 Phys. Rev. A 104 032218
[37] Cavalcanti E G, Jones S J, Wiseman H M and Reid M D 2009 Phys. Rev. A 80 032112
[38] Schneeloch J, Broadbent C J, Walborn S P, Cavalcanti E G and Howell J C 2013 Phys. Rev. A 87 062103
[39] Cavalcanti E G, Foster C J, Fuwa M and Wiseman H M 2015 JOSA B 32 74
[40] Ruzbehani M 2021 Sci. Rep. 11 1
[41] Costa A C S and Angelo R M 2016 Phys. Rev. A 93 020103
[42] King C and Ruskai M B 2001 IEEE Trans. Inf. Theory 47 192
[43] Yu T and Eberly J H 2004 Phys. Rev. Lett. 93 140404
[44] Luo S L 2008 Phys. Rev. A 77 042303
[45] Horodecki R, HorodeckiMand Horodecki P 1996 Phys. Lett. A 222 21
[46] Fan Y, Jia C L and Qiu L 2022 Phys. Rev. A 106 012433 |
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