arXiv Machine Learning By Francesco Perciavalle, Agostino Gallo, Francesco Plastina, Gianluigi Greco, Nicola Lo Gullo, Carlo Adornetto

On linearity or non-linearity in machine learning for quantum chaotic dynamics

Read the original on arXiv Machine Learning →

The paper investigates whether machine learning can predict chaotic quantum many-body dynamics by treating it as a time‑series forecasting problem. Using a few‑qubit PXP chain, the authors compare a nonlinear Transformer model with a simple linear DLinear model across regimes from ergodic to scarred dynamics. They find that while the Transformer performs well in ergodic regimes, its accuracy drops near scarred states, whereas DLinear maintains high accuracy across all regimes, indicating that complex quantum dynamics can be forecasted accurately with a simple linear mapping.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
Oct 21

The surprising simplicity of forecasting quantum chaotic many-body dynamics

The paper investigates whether machine learning can predict chaotic quantum many-body dynamics by treating it as a time-series forecasting problem. Using a few-qubit PXP chain as a benchmark, the authors compare a complex Transformer model with a simple linear DLinear model across regimes from ergodic behavior to quantum many-body scarring. They find that while the Transformer works well in ergodic regimes, its performance degrades near scarred states, whereas DLinear remains accurate across all initial states, indicating that complex quantum dynamics can be forecasted with a simple linear mapping.

By Francesco Perciavalle, Agostino Gallo, Francesco Plastina, Gianluigi Greco, Nicola Lo Gullo, Carlo Adornetto
arXiv Machine Learning
Oct 3

Evaluating Hybrid Quantum-Classical Models for Reduced-Order Brain Deformation Dynamics

The paper evaluates hybrid quantum‑classical machine learning for predicting reduced‑order spatiotemporal brain deformation fields. Using Proper Orthogonal Decomposition to compress high‑dimensional displacement data, the authors compare static temporal‑to‑latent regression and autoregressive latent forecasting models. Classical neural networks outperform all quantum variants, though enhanced quantum circuits improve over minimal ones, indicating that classical architectures still hold a clear advantage in fidelity and stability for this task.

By Tao Liu, Ge He, Dongyu Liang, Wujie Wen
arXiv Machine Learning
Jun 16

Quantum-classical hybrid models based on error correction for time series forecasting

arXiv:2606. 15213v1 Announce Type: cross Abstract: Time series forecasting largely benefits from combining the strengths of different models, especially using a scheme where a model corrects another model by capturing supplementary patterns from forecasting errors.

By Jonathan H. A. de Carvalho, Filipe C. de L. Duarte, Fernando M. de Paula Neto, Paulo S. G. de Mattos Neto