Abstract
Existing social network simulation models exhibit several limitations, including extensive iteration requirements and multiple control parameters. In this study, an information propagation model based on continuous-time quantum walk (CTQW-IPM) is introduced to rank crucial individuals in undirected social networks. In the proposed CTQW-IPM, arbitrary individuals (or groups) can be specified as initial diffusion dynamic elements through preset probability amplitudes. Information diffusion on a global reachable path is then simulated by an evolution operator, as individual degrees of cruciality are estimated from probability distributions acquired from quantum observations. CTQW-IPM does not require iterations, due to the non-randomness of CTQW, and does not include extensive computations as complex cascade diffusion processes are replaced by evolution operators. Experimental comparisons of CTQW-IPM and several conventional models showed their ranking of crucial individuals exhibited a strong correlation, with nearly every individual in the social network assigned a unique measured value based on the rate of distinguishability. CTQW-IPM also outperformed other algorithms in influence maximization problems, as measured by the resulting spread size.









Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Kabir KMA, Kuga K, Tanimoto J (2019) Analysis of SIR epidemic model with information spreading of awareness. Chaos Solitons Fractals 119:118–125
Zhang J, Yu PS (2019) Broad learning through fusions—an application on social networks. Springer, New York
Chen W, Lakshmanan LVS, Castillo C (2013) Information and influence propagation in social networks. Morgan and Claypool Publishers, New York
He Q, Sun L, Wang X, Wang Z, Ma L (2021) Positive opinion maximization in signed social networks. Inf Sci 558(2):34–49
Chen L, Zhang Y, Chen Y, Li B, Liu W (2021) Negative influence blocking maximization with uncertain sources under the independent cascade model. Inf Sci 564:343–367
Zarezade A, Khodadadi A, Farajtabar M, Rabiee HR, Zha H (2017) Correlated cascades: compete or cooperate. In: Proceedings of the 31th AAAI conference on artificial intelligence, vol 31. AAAI Press, San Francisco, pp 238–244
Khadangi E, Bagheri A, Zarean A (2018) Empirical analysis of structural properties, macroscopic and microscopic evolution of various facebook activity networks. Qual Quant 52(1):249–275
Zhan C, Wu F, Huang Z, Jiang W, Zhang Q (2020) Analysis of collective action propagation with multiple recurrences. Neural Comput Appl 32(17):13491–13504
Zhan C, Li B, Zhong X, Min H, Wu Z (2020) A model for collective behaviour propagation: a case study of video game industry. Neural Comput Appl 32(9):4507–4517
Zhan C, Chi KT, Small M (2016) A general stochastic model for studying time evolution of transition networks. Physica A 464:198–210
Kermack WO, McKendrick AG (1927) A contribution to the mathematical theory of epidemics. Proc Roy Soc Lond Ser A Contain Pap Math Phys Charact 115(772):700–721
Kempe D, Kleinberg JM, Tardos É (2003) Maximizing the spread of influence through a social network. In: Proceedings of the ninth ACM SIGKDD international conference on knowledge discovery and data mining. ACM, Washington, DC, pp 137–146
Herbert HW (2000) The mathematics of infectious diseases. SIAM Rev 42(4):599–653
Ben-Naim E, Krapivsky PL (2004) Size of outbreaks near the epidemic threshold. Phys Rev E 69:050901
Ma H, Yang H, Lyu MR, King I (2008) Mining social networks using heat diffusion processes for marketing candidates selection. In: Proceedings of the 17th ACM conference on information and knowledge management. ACM, Napa Valley, pp 233–242
AlSuwaidan L, Ykhlef M (2017) A novel information diffusion model for online social networks. In: Proceedings of the 19th international conference on information integration and web-based applications & services. ACM, Salzburg, pp 116–120
Pierre P, Jennifer H, Zheng W, Michal V (2020) Budgeted online influence maximization. In: Proceedings of the 37th international conference on machine learning, volume 119 of proceedings of machine learning research. PMLR, Vienna, pp 7620–7631
Bourigault S, Lamprier S, Gallinari P (2016) Representation learning for information diffusion through social networks: an embedded cascade model. In: Proceedings of the ninth ACM international conference on web search and data mining. ACM, San Francisco, pp 573–582
Panagopoulos G, Malliaros F, Vazirgiannis M (2020) Multi-task learning for influence estimation and maximization. IEEE Trans Knowl Data Eng 1–13
Chakraborty S, Novo L, Roland J (2020) Finding a marked node on any graph via continuous-time quantum walks. Phys Rev A 102(2):022227
Venegas-Andraca SE (2012) Quantum walks: a comprehensive review. Quantum Inf Process 11(5):1015–1106
Gong M, Wang S, Zha C, Chen M, Huang H, Wu Y, Zhu Q, Zhao Y, Li S, Guo S, Qian H, Ye Y, Chen F, Ying C, Yu J, Fan D, Wu D, Su H, Deng H, Rong H, Zhang K, Cao S, Lin J, Xu Y, Sun L, Guo C, Li N, Liang F, Bastidas VM, Nemoto K, Munro WJ, Huo Y, Lu C, Peng C, Zhu X, Pan J (2021) Quantum walks on a programmable two-dimensional 62-qubit superconducting processor. Science 372(6545):948–952
Harrow AW, Hassidim A, Lloyd S (2009) Quantum algorithm for linear systems of equations. Phys Rev Lett 103(15):150502
Berry SD, Wang JB (2011) Two-particle quantum walks: entanglement and graph isomorphism testing. Phys Rev A 83(4):042317
Loke T, Tang J, Rodriguez J, Small M, Wang J (2017) Comparing classical and quantum PageRanks. Quantum Inf Process 16(1):1–22
Mukai K, Hatano N (2020) Discrete-time quantum walk on complex networks for community detection. Phys Rev Res 2(17):023378
Childs AM (2010) On the relationship between continuous-and discrete-time quantum walk. Commun Math Phys 294(2):581–603
Izaac JA, Zhan X, Bian Z, Wang K, Wang J (2017) Centrality measure based on continuous-time quantum walks and experimental realization. Phys Rev A 95(3):032318
Rossi RA, Ahmed NK (2015) The network data repository with interactive graph analytics and visualization. In: Proceedings of the 29th AAAI conference on artificial intelligence, volume 29. AAAI Press, Austin, pp 4292–4293
Han Z, Chen Y, Li M (2016) An efficient node influence metric based on triangle in complex networks. J Chin Phys 65(16):289–300
Sergey B, Lawrence P (1998) The anatomy of a large-scale hypertextual web search engine. Comput Netw 30(1–7):107–117
Kitsak M, Gallos LK, Havlin S, Liljeros F, Muchnik L, Stanley HE, Makse HA (2010) Identification of influential spreaders in complex networks. Nat Phys 6(11):888–893
Paparo GD, Mller M, Comellas F, Martin-Delgado MA (2013) Quantum google in a complex network. Sci Rep 3(1):1–16
Newman ME (2005) A measure of betweenness centrality based on random walks. Soc Netw 27(1):39–54
Chen W, Wang Y, Yang S (2009) Efficient influence maximization in social networks. In: Proceedings of the 15th ACM SIGKDD international conference on knowledge discovery and data mining, KDD. ACM, New York, pp 199–208
Qiu L, Gu C, Zhang S, Tian X, Zhang M (2020) TSIM: a two-stage selection algorithm for influence maximization in social networks. IEEE Access 8:12084–12095
Daud NN, Ab Hamid SH, Saadoon M, Sahran F, Anuar NB (2020) Applications of link prediction in social networks: a review. J Netw Comput Appl 166:102716
Funding
This work is supported by the Jilin Provincial Department of Science and Technology, China (No. 20210201075GX).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yan, F., Liang, W. & Hirota, K. An information propagation model for social networks based on continuous-time quantum walk. Neural Comput & Applic 34, 13455–13468 (2022). https://doi.org/10.1007/s00521-022-07168-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-022-07168-7