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Frontiers in Environmental Science

Advanced meteorological modeling framework integrating quantum computing and machine learning for hurricane track prediction beyond traditional forecasting limitations

Yunjia Hu

Published Oct 19, 2026• 0 citations
Publisher

Abstract

Introduction Accurate prediction of hurricane tracks, intensity, and rapid intensification remains a major challenge in meteorological forecasting. This study investigates whether a hybrid quantum-classical approach, called the Quantum-Enhanced Neural Network (QENN), can improve tropical cyclone prediction. Methods QENN combines atmospheric features from multiple sources with a four-layer, 50-qubit variational circuit, grouped Pauli measurements, and a classical temporal prediction model. The evaluation included 847 Atlantic tropical cyclones recorded between 1980 and 2024. Separate hurricane-disjoint partitions were used for model development, validation, testing, and the 2024 holdout evaluation. Model reliability was further examined through ten random-seed runs, storm-level bootstrap confidence intervals, calibration analysis, comparisons with recent forecasting models, and a width-matched classical ablation study. Results On the locked 2016–2023 test set, QENN achieved a 120-h track mean absolute error of 83.7 km (95% confidence interval [CI]: 78.9–88.6 km), compared with 312.0 km (95% CI: 299.6–325.1 km) for the operational classical ensemble, representing a 73.2% reduction in relative error. For rapid-intensification prediction, QENN achieved a balanced accuracy of 94.7% (95% CI: 91.2%–97.1%), while the classical baseline achieved 67.3%. The median wall-clock time was 50.0 min for QENN and 210.0 min for the classical ensemble, equivalent to a 4.20-fold speed-up and a 76.2% reduction in runtime. In the 2024 holdout evaluation, which included six storms, the mean landfall-position error was 45 km (95% CI: 39–51 km). Discussion The results indicate that quantum-enhanced correlation features may improve forecasting accuracy and computational efficiency within the proposed experimental framework. However, the runtime comparison does not establish a formal quantum computational advantage. Further testing under operational forecasting conditions and validation on quantum hardware are needed to assess the reliability, generalizability, and practical value of the approach.

DOI
10.3389/fenvs.2026.1939822

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Abstract The major computational bottleneck of operational Numerical Weather Prediction (NWP) is data assimilation, in which a high-dimensional, prohibitively expensive variational cost function must be minimised repeatedly, with computational costs scaling alongside model resolution. This work presents a systematic empirical evaluation of an Adaptive Hybrid Variational Quantum-Classical (VQE)-based framework for Four-Dimensional Variational Data Assimilation (4DVAR), benchmarked against Classical BFGS optimisation and three deep learning baselines: a standard Long Short-Term Memory network (LSTM), a task-aligned Data Assimilation LSTM (DA-LSTM), and a Neural Ordinary Differential Equation (Neural ODE) across two canonical chaotic atmospheric models of increasing complexity: the three-variable Lorenz-1963 (L63) and the forty-variable Lorenz-1996 (L96) systems. All experiments were conducted using PennyLane quantum simulation across 50 independent runs per method, with rigorous statistical validation including paired t-tests, Wilcoxon signed-rank tests, bootstrap 95% confidence intervals, and formal effect size estimation. Results are reported with full timing decomposition separating quantum circuit execution (T 1 ), classical optimiser time (T 2 ), and infrastructure overhead (T 3 ). The central finding is that the Adaptive Hybrid Quantum-Classical model with a Hardware-Efficient Ansatz (Hybrid QC-HEA) achieves a mean 4DVAR cost of 2.10 on L63 and 21.0 on L96 representing only 11.7% and 14.8% above the Classical 4DVAR baseline respectively—differences that are not statistically significant at p < 0.05. Crucially, Hybrid QC-HEA outperforms all three deep learning baselines by substantial margins on L96, achieving 5.5x lower cost than DA-LSTM, 5.2x lower than LSTM, and 8.3x lower than Neural ODE. The Hybrid QC-HEA also exhibits the tightest cost distribution across 50 runs on L96, demonstrating superior operational reliability compared to all competing methods. Conversely, all-quantum VQE-based methods with no refinement by classical methods scale to cost 32 and 75x more than classical on L96, and thus gradient-free quantum optimisation without the classical BFGS refinement step is ultimately impractical to high-precision data assimilation and the classical BFGS refinement step is in any case a fundamental element of the architecture. Computational scaling analysis reveals that Classical 4DVAR wall-clock time grows 126-fold from L63 to L96, consistent with theoretical predictions of exponentially increasing complexity in chaotic optimisation landscapes, while the hybrid framework maintains near-classical accuracy at both scales. These results constitute an empirical proof-of-concept for hybrid quantum-classical data assimilation on realistic atmospheric models, establishing a reproducible benchmarking framework for future investigation on near-term quantum processors based NISQ devices.