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Quantum Neural Network Architectures for Multivariate Time-Series Forecasting

Sandra Ranilla-Cortina, Diego A. Aranda, Jorge Ballesteros, Jesus Bonilla, Nerea Monrio, El\'ias F. Combarro, Jose Ranilla
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⚡ Quantum Brief
A team of seven researchers led by Sandra Ranilla-Cortina introduced quantum neural network architectures to tackle multivariate time-series forecasting, addressing a key limitation of variational quantum circuits previously restricted to univariate data. The study presents hybrid quantum-classical and purely quantum models, systematically benchmarking their ability to capture cross-variable dependencies in complex datasets, marking a shift from theoretical exploration to practical quantum machine learning applications. Their flagship innovation, the iQTransformer, integrates quantum self-attention into the iTransformer framework, enabling native quantum representation of inter-variable relationships—a first in quantum-enhanced forecasting architectures. Empirical tests on synthetic and real-world datasets reveal quantum models can outperform classical and quantum baselines in accuracy while requiring fewer trainable parameters and achieving faster convergence in select cases. Published in October 2025, this work positions quantum-enhanced forecasting as a scalable, efficient alternative for industries reliant on multivariate time-series analysis, from finance to climate modeling.
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Quantum Physics arXiv:2510.21168 (quant-ph) [Submitted on 24 Oct 2025] Title:Quantum Neural Network Architectures for Multivariate Time-Series Forecasting Authors:Sandra Ranilla-Cortina, Diego A. Aranda, Jorge Ballesteros, Jesus Bonilla, Nerea Monrio, Elías F. Combarro, Jose Ranilla View a PDF of the paper titled Quantum Neural Network Architectures for Multivariate Time-Series Forecasting, by Sandra Ranilla-Cortina and 6 other authors View PDF HTML (experimental) Abstract:In this paper, we address the challenge of multivariate time-series forecasting using quantum machine learning techniques. We introduce adaptation strategies that extend variational quantum circuit models, traditionally limited to univariate data, toward the multivariate setting, exploring both purely quantum and hybrid quantum-classical formulations. First, we extend and benchmark several VQC-based and hybrid architectures to systematically evaluate their capacity to model cross-variable dependencies. Second, building upon these foundations, we introduce the iQTransformer, a novel quantum transformer architecture that integrates a quantum self-attention mechanism within the iTransformer framework, enabling a quantum-native representation of inter-variable relationships. Third, we provide a comprehensive empirical evaluation on both synthetic and real-world datasets, showing that quantum-based models may achieve competitive or superior forecasting accuracy with fewer trainable parameters and faster convergence than state-of-the-art classical and quantum baselines in some cases. These contributions highlight the potential of quantum-enhanced architectures as efficient and scalable tools for advancing multivariate time-series forecasting. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2510.21168 [quant-ph] (or arXiv:2510.21168v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2510.21168 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Sandra Ranilla-Cortina [view email] [v1] Fri, 24 Oct 2025 05:44:41 UTC (708 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Neural Network Architectures for Multivariate Time-Series Forecasting, by Sandra Ranilla-Cortina and 6 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-10 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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