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This study demonstrates how recursive architecture within variational quantum circuits can enhance the stability and convergence of hybrid quantum-classical models for temporal sequence learning. By improving generalization gaps in short-horizon forecasting tasks, the research highlights a practical pathway to optimizing QLSTM performance without relying on extensive hyperparameter tuning across random initializations.
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Recursive Quantum Long Short-Term Memory for Stable Short-Horizon Temperature Forecasting

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arXiv:2609.20594v1 Announce Type: new Abstract: Quantum long short-term memory (QLSTM) models extend recurrent sequence learning with variational quantum circuits, but their optimization behavior can vary substantially across random initializations and temporal contexts. This paper evaluates a recursive QLSTM architecture against a standard QLSTM for one-step-ahead prediction of daily minimum and maximum temperature. Using daily weather observations from Toronto and identical training settings, we compare convergence, predictive accuracy, and generalization across input windows of 8, 16, and 32 days over 20 random seeds. The recursive model consistently reaches a near-optimal test loss earlier, reduces mean absolute error and root mean squared error, and exhibits a smaller generalization gap. These results indicate that recursive quantum feature transformations can improve stability and out-of-sample performance for compact hybrid quantum--classical temporal models.

Abstract:Quantum long short-term memory (QLSTM) models extend recurrent sequence learning with variational quantum circuits, but their optimization behavior can vary substantially across random initializations and temporal contexts. This paper evaluates a recursive QLSTM architecture against a standard QLSTM for one-step-ahead prediction of daily minimum and maximum temperature. Using daily weather observations from Toronto and identical training settings, we compare convergence, predictive accuracy, and generalization across input windows of 8, 16, and 32 days over 20 random seeds. The recursive model consistently reaches a near-optimal test loss earlier, reduces mean absolute error and root mean squared error, and exhibits a smaller generalization gap. These results indicate that recursive quantum feature transformations can improve stability and out-of-sample performance for compact hybrid quantum--classical temporal models.

Machine Learning (cs.LG)

arXiv:2609.20594 [cs.LG]

(or arXiv:2609.20594v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2609.20594 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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