Hybrid Quantum-Classical Spatiotemporal Forecasting for 3D Cloud Fields
Organizations: CMA Earth system Modeling and Prediction Center (CEMC) and State Key Laboratory of Severe Weather (LaSW), Beijing, 100081, China · the School of Computer Science and Engineering, Sichuan University of Science and Engineering, Yibin City, 643000, China · the School of Electronic and Communication Engineering, Guangzhou University, Guangzhou, 510006, China · Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing, 100094, China ·
Abstract
Accurate forecasting of three-dimensional (3D) cloud fields is important for atmospheric analysis and short-range numerical weather prediction, yet it remains challenging because cloud evolution involves cross-layer interactions, nonlocal dependencies, and multiscale spatiotemporal dynamics. Existing spatiotemporal prediction models based on convolutions, recurrence, or attention often rely on locality-biased representations and therefore struggle to preserve fine cloud structures in volumetric forecasting tasks. To address this issue, we propose QENO, a hybrid quantum-inspired spatiotemporal forecasting framework for 3D cloud fields. The proposed architecture consists of four components: a classical spatiotemporal encoder for compact latent representation, a topology-aware quantum enhancement block for modeling nonlocal couplings in latent space, a dynamic fusion temporal unit for integrating measurement-derived quantum features with recurrent memory, and a decoder for reconstructing future cloud volumes. Experiments on CMA-MESO 3D cloud fields show that QENO consistently outperforms representative baselines, including ConvLSTM, PredRNN++, Earthformer, TAU, and SimVP variants, in terms of MSE, MAE, RMSE, SSIM, and threshold-based detection metrics. In particular, QENO achieves an MSE of 0.2038, an RMSE of 0.4514, and an SSIM of 0.6291, while also maintaining a compact parameter budget. These results indicate that topology-aware hybrid quantum-classical feature modeling is a promising direction for 3D cloud structure forecasting and atmospheric Earth observation data analysis.
Figures & tables
| Model | MSE | MAE | RMSE | SSIM | Params |
|---|---|---|---|---|---|
| QENO | 0.2038 | 0.2553 | 0.4514 | 0.6291 | 0.03M |
| TAU | 0.2372 | 0.2757 | 0.4871 | 0.5063 | 0.44M |
| Earthformer | 0.2566 | 0.3120 | 0.5065 | 0.4637 | 6.35M |
| PredRNN_Plus | 0.2726 | 0.3079 | 0.5221 | 0.4586 | 2.50M |
| ConvLSTM | 0.2883 | 0.3100 | 0.5370 | 0.4594 | 0.60M |
| SimVP_Plus | 0.3477 | 0.3470 | 0.5897 | 0.3965 | 0.30M |
| Model | MSE | MAE | RMSE | SSIM |
|---|---|---|---|---|
| QENO | 0.201300 | 0.249777 | 0.448665 | 0.680145 |
| QENO-QEDecoder | 0.292149 | 0.284594 | 0.540508 | 0.673665 |
| QENO-QEMid | 0.899545 | 0.638966 | 0.948443 | 0.193796 |
| SimVP | 0.48236 | 0.390819 | 0.694521 | 0.286895 |
Spatiotemporal Forecasting
Spatiotemporal forecasting predicts how quantities change across locations and time, from traffic and weather to disease and environmental systems.
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