Abstract
In the race towards quantum computing, the potential benefits of quantum neural networks (QNNs) have become increasingly apparent. However, Noisy Intermediate-Scale Quantum (NISQ) processors are prone to errors, which poses a significant challenge for the execution of complex algorithms or quantum machine learning. To ensure the quality and security of QNNs, it is crucial to explore the impact of noise on their performance. This paper provides a comprehensive analysis of the impact of noise on QNNs, examining the Mottonen state preparation algorithm under various noise models and studying the degradation of quantum states as they pass through multiple layers of QNNs. Additionally, the paper evaluates the effect of noise on the performance of pre-trained QNNs and highlights the challenges posed by noise models in quantum computing. The findings of this study have significant implications for the development of quantum software, emphasizing the importance of prioritizing stability and noise-correction measures when developing QNNs to ensure reliable and trustworthy results. This paper contributes to the growing body of literature on quantum computing and quantum machine learning, providing new insights into the impact of noise on QNNs and paving the way towards the development of more robust and efficient quantum algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Ezhov, A.A., Ventura, D.: Quantum neural networks. In: Kasabov, N. (ed.) Future Directions for Intelligent Systems and Information Sciences. Studies in Fuzziness and Soft Computing, vol. 45, pp. 213–235. Physica Verlag, Heidelberg (2000). https://doi.org/10.1007/978-3-7908-1856-7_11
Gupta, S., Zia, R.: Quantum neural networks. J. Comput. Syst. Sci. 63(3), 355–383 (2001). https://www.sciencedirect.com/science/article/pii/S0022000001917696
Schuld, M., Sinayskiy, I., Petruccione, F.: The quest for a quantum neural network. Quantum Inf. Process. 13(11), 2567–2586 (2014). https://doi.org/10.1007/s11128-014-0809-8
Arias, D., et al.: Let’s do it right the first time: Survey on security concerns in the way to quantum software engineering. Neurocomputing 538, 126199 (2023). https://www.sciencedirect.com/science/article/pii/S0925231223003041
Mottonen, M., Vartiainen, J.J., Bergholm, V., Salomaa, M.M.: Transformation of quantum states using uniformly controlled rotations (2004). arXiv:quant-ph/0407010, http://arxiv.org/abs/quant-ph/0407010
Schuld, M., Bocharov, A., Svore, K.M., Wiebe, N.: Circuit-centric quantum classifiers. Phys. Rev. A 101(3) (2020). https://doi.org/10.1103/physreva.101.032308
Henderson, M., Shakya, S., Pradhan, S., Cook, T.: Quanvolutional Neural networks: powering image recognition with quantum circuits. arXiv:1904.04767 [quant-ph] (2019)
Maronese, M., Destri, C., Prati, E.: Quantum activation functions for quantum neural networks. arXiv:2201.03700 [quant-ph] (2022)
Bausch, J.: Recurrent quantum neural networks. arXiv:2006.14619 [quant-ph, stat] (2020)
Cerezo, M., et al.: Variational quantum algorithms. Nat. Rev. Phys. 3(9), 625–644 (2021). arXiv:2012.09265 [quant-ph, stat]
Rebentrost, P., Mohseni, M., Lloyd, S.: Quantum support vector machine for big data classification. Phys. Rev. Lett. 113(13), 130503 (2014). arXiv:1307.0471 [quant-ph]
Hur, T., Kim, L., Park, D.K.: Quantum convolutional neural network for classical data classification. Quantum Mach. Intell. 4(1), 3 (2022). https://doi.org/10.1007/s42484-021-00061-x
Lockwood, O., Si, M.: Reinforcement learning with quantum variational circuits. arXiv:2008.07524 [quant-ph, stat] (2020).
Lockwood, O.: Playing Atari with hybrid quantum-classical reinforcement learning. In: NeurIPS (2021)
Wang, S. et al.: Noise-induced barren plateaus in variational quantum algorithms. Nat. Commun. 12(1), 6961 (2021). https://www.nature.com/articles/s41467-021-27045-6
Roffe, J.: Quantum error correction: an introductory guide. Contemp. Phys. 60(3), 226–245 (2019). arXiv:1907.11157 [quant-ph].
Liu, J., Wilde, F., Mele, A.A., Jiang, L., Eisert, J.: Noise can be helpful for variational quantum algorithms. arXiv:2210.06723 [quant-ph] (2022)
Huang, H.-Y., et al.: Quantum advantage in learning from experiments. Science 376(6598), 1182–1186 (2022). arXiv:2112.00778 [quant-ph]
Acknowledgements
The authors would like to acknowledge the partial financial support by Ministry of Science (project QSERV-UD, PID2021-124054OB-C33), and also to the Basque Government (projects TRUSTIND - KK-2020/00054, and REMEDY - KK-2021/00091). Additionally, the authors wish to acknowledge the selfless support from IBM, who generously provided their quantum computing equipment for the project. Finally, it is important to also express gratitude for the support and drive that the regional government of Bizkaia is providing in all matters related to the development of quantum technologies as a driving force for progress of the Society of this historic territory.
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Escudero, E.T., Alamo, D.A., Gómez, O.M., Bringas, P.G. (2023). Assessing the Impact of Noise on Quantum Neural Networks: An Experimental Analysis. In: García Bringas, P., et al. Hybrid Artificial Intelligent Systems. HAIS 2023. Lecture Notes in Computer Science(), vol 14001. Springer, Cham. https://doi.org/10.1007/978-3-031-40725-3_27
Download citation
DOI: https://doi.org/10.1007/978-3-031-40725-3_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-40724-6
Online ISBN: 978-3-031-40725-3
eBook Packages: Computer ScienceComputer Science (R0)