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PreprintarXiv licencearXiv

Quantum extreme learning for forecasting experimental chaotic electronic circuits

Abstract

Quantum reservoir computing and its special case, quantum extreme learning, are powerful tools for predicting classical discrete time-series with quantum devices. Forecasting continuous signals, however, requires careful discretization as oversampling artificially boosts short-term accuracy but fails over realistic intervals, while undersampling captures too few features and yields poor predictions. Here, we experimentally generate four continuous time-series signals from a chaotic electronic circuit for forecasting with quantum extreme learning. Since simplified circuit models do not fully capture real behaviour, it is unclear whether algorithms that predict simulated time-series also work for experimental signals. We address discretization via two approaches: (i) sampling local peaks/troughs; and (ii) uniform sampling at the autocorrelation timescale. The former captures resonant behaviour, while the latter fully captures chaotic features as well as allowing the reconstruction of chaotic attractors. Our algorithm achieves high forecasting accuracy for both simulated and experimental signals, demonstrating its power for continuous signal processing on near-term quantum simulators, and remains robust against moderate decoherence.

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BibTeX
@misc{sharifian2026quantum,
  title = {{Quantum extreme learning for forecasting experimental chaotic electronic circuits}},
  author = {Mohammad Sharifian and Qingyu Li and Chiranjib Mukhopadhyay and Abolfazl Bayat and Ludovico Minati},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13388},
  eprint = {2610.13388},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13388},
}
RIS
TY  - UNPB
TI  - Quantum extreme learning for forecasting experimental chaotic electronic circuits
AU  - Mohammad Sharifian
AU  - Qingyu Li
AU  - Chiranjib Mukhopadhyay
AU  - Abolfazl Bayat
AU  - Ludovico Minati
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13388
UR  - https://arxiv.org/abs/2610.13388
AB  - Quantum reservoir computing and its special case, quantum extreme learning, are powerful tools for predicting classical discrete time-series with quantum devices. Forecasting continuous signals, however, requires careful discretization as oversampling artificially boosts short-term accuracy but fails over realistic intervals, while undersampling captures too few features and yields poor predictions. Here, we experimentally generate four continuous time-series signals from a chaotic electronic circuit for forecasting with quantum extreme learning. Since simplified circuit models do not fully capture real behaviour, it is unclear whether algorithms that predict simulated time-series also work for experimental signals. We address discretization via two approaches: (i) sampling local peaks/troughs; and (ii) uniform sampling at the autocorrelation timescale. The former captures resonant behaviour, while the latter fully captures chaotic features as well as allowing the reconstruction of chaotic attractors. Our algorithm achieves high forecasting accuracy for both simulated and experimental signals, demonstrating its power for continuous signal processing on near-term quantum simulators, and remains robust against moderate decoherence.
ER  -