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Verifying hierarchical network nonlocality in general quantum networks |
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 |
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Abstract Recently, a class of innovative notions on quantum network nonlocality (QNN), called full quantum network nonlocality (FQNN), have been proposed in Phys. Rev. Lett. 128 010403 (2022). As the generalization of full network nonlocality (FNN), $l$-level quantum network nonlocality ($l$-QNN) was defined in arxiv. 2306.15717 quant-ph (2024). FQNN is a NN that can be generated only from a network with all sources being non-classical. This is beyond the existing standard network nonlocality, which may be generated from a network with only a non-classical source. One of the challenging tasks is to establish corresponding Bell-like inequalities to demonstrate the FQNN or $l$-QNN. Up to now, the inequality criteria for FQNN and $l$-QNN have only been established for star and chain networks. In this paper, we devote ourselves to establishing Bell-like inequalities for networks with more complex structures. Note that star and chain networks are special kinds of tree-shaped networks. We first establish the Bell-like inequalities for verifying $l$-QNN in $k$-forked tree-shaped networks. Such results generalize the existing inequalities for star and chain networks. Furthermore, we find the Bell-like inequality criteria for $l$-QNN for general acyclic and cyclic networks. Finally, we discuss the demonstration of $l$-QNN in the well-known butterfly networks.
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Received: 26 February 2024
Revised: 31 March 2024
Accepted manuscript online: 12 April 2024
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PACS:
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03.67.Hk
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(Quantum communication)
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03.67.-a
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(Quantum information)
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03.65.-w
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(Quantum mechanics)
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03.65.Aa
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(Quantum systems with finite Hilbert space)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12271394 and 12071336) and the Key Research and Development Program of Shanxi Province (Grant No. 202102010101004). |
Corresponding Authors:
Kan He
E-mail: hekanquantum@163.com
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Cite this article:
Shu-Yuan Yang(杨舒媛), Jin-Chuan Hou(侯晋川), and Kan He(贺衎) Verifying hierarchical network nonlocality in general quantum networks 2024 Chin. Phys. B 33 070304
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[1] Branciard C, Gisin N and Pironio S 2010 Phys. Rev. Lett. 104 170401 [2] Branciard C, Rosset D, Gisin N and Pironio S 2012 Phys. Rev. A 85 032119 [3] Mukherjee K, Paul B and Sarkar D 2015 Quantum Inf. Process. 14 2025 [4] Amit K, Mostak K M, Indrani C and Debasis S 2020 Phys. Rev. 102 052222 [5] Tavakoli A, Skrzypczyk P, Cavalcanti D and Acín A 2014 Phys. Rev. A 90 062109 [6] Andreoli F, Carvacho G, Santodonato L, Chaves R and Sciarrino F 2017 New J. Phys. 19 113020 [7] Renou M O, Baumer E, Boreiri S, Brunner N, Gisin N and Beigi S 2019 Phys. Rev. Lett. 123 140401 [8] Jing B, Wang X J, Yu Y, Sun P F, Jiang Y, Yang S J, Jiang W H and Luo X Y 2019 Nat. Photon. 13 210 [9] Yang L H, Qi X F and Hou J C 2021 Phys. Rev. A 104 042405 [10] Yang L H, Qi X F and Hou J C 2022 Entropy 24 691 [11] Yang L H, Qi X F and Hou J C 2022 Quantum Inf. Process. 21 305 [12] Chaves R 2016 Phys. Rev. Lett. 116 010402 [13] Rosset D, Branciard C, Barnea T J, Putz G, Brunner N and Gisin N 2016 Phys. Rev. Lett. 116 010403 [14] Tavakoli A 2016 Phys. Rev. A 93 030101 [15] Luo M X 2018 Phys. Rev. Lett. 120 140402 [16] Branciard C, Brunner N, Buhrman H, Cleve R, Gisin N, Portmann S, Rosset D and Szegedy M 2012 Phys. Rev. Lett. 109 100401 [17] Pozas-Kerstjens A, Gisin N and Tavakoli A 2022 Phys. Rev. Lett. 128 010403 [18] Håkansson E, Piveteau A, Muhammad S and Bourennane M 2022 arXiv:2201.06361 [quant-ph] [19] Huang C X, Hu X M, Guo Y, Zhang C, Liu B H, Huang Y F, Li C F, Guo G C, Gisin N, Branciard C and Tavakoli A 2022 Phys. Rev. Lett. 129 030502) [20] Wang N N, Pozas-Kerstjens A, Zhang C, Liu B H, Huang Y F, Li C F, Guo G C, Gisin N and Tavakoli A 2023 Nat. Commun. 14 2153 [21] Gu X M, Huang L, Pozas-Kerstjens A, Jiang Y F, Wu D, Bai B, Sun Q C, Chen M C, Zhang J, Yu S, Zhang Q, Lu C Y and Pan J W 2023 Phys. Rev. Lett. 130 190201 [22] Luo M X, Yang X and Pozas-Kerstjens A 2024 arXiv:2306.15717v3 [quant-ph] [23] Cubitt T S, Leung D, Matthews W and Winter A 2010 Phys. Rev. Lett. 104 230503 [24] Pan X B, Chen X B, Xu G, Dou Z, Li Z P and Yang Y X 2022 Chin. Phys. B 31 010305 [25] Shi Y Y, Duan L M and Vidal G 2006 Phys. Rev. A 72 022320 [26] Wall M L and D’Aguanno G 2021 Phys. Rev. A 104 042408 [27] Pickston A, Ho J, Ulibarrena A, Grasselli F, Proietti M, Morrison C L, Barrow P, Graffitti F and Fedrizzi A 2023 npj Quantum Inf. 9 82 [28] Moreno M G M, Brito S, Nery R V and Chaves R 2020 Phys. Rev. A 101 052339 [29] Luo M X 2022 Phys. Rev Res. 4 013203 |
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