mlsanityData to 7 Oct 2026

Multivariate Time Series Forecasting with Adaptive Non-Local Observables

arXiv 2607.24399 ↗First posted 27 Jul 2026quant-ph cs.AI cs.LGcited by 1

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Abstract (arXiv)

Multivariate time series forecasting (MTSF) predicts future values of multiple variables from historical data. While quantum neural networks have been increasingly applied to this task, they typically rely on fixed local measurements, which restrict their expressivity. We propose MTSF-ANO, a simple hybrid model for MTSF that integrates variational quantum circuits with adaptive non-local observables (ANO). On the four ETT datasets, MTSF-ANO ranks first or second in MSE in 17 of 20 settings, improving over the strongest baseline by up to 20% on ETTh1, and outperforms or matches its fixed local observable counterpart across all settings. Our ablations show how the quantum circuit design and ANO non-locality affect performance. These results suggest that ANO is a promising direction for quantum time series forecasting.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 15 of its 24 references that are in the map. First posted on arXiv 27 Jul 2026.

Builds on

15 of 24 references.

References · 15

  1. 2020Informer: Beyond Efficient Transformer for Long Sequence Time-Series Forecastingcited by 2,141
  2. 2022Are Transformers Effective for Time Series Forecasting?cited by 1,400
  3. 2020Variational Quantum Algorithmscited by 687
  4. 2019Variational Quantum Circuits for Deep Reinforcement Learningcited by 165
  5. 2020Quantum Long Short-Term Memorycited by 118
  6. 2021Parametrized quantum policies for reinforcement learningcited by 87
  7. 2020Reinforcement Learning with Quantum Variational Circuitscited by 74
  8. 2024Learning to Program Variational Quantum Circuits with Fast Weightscited by 23
  9. 2025Learning to Measure Quantum Neural Networkscited by 15
  10. 2025Adaptive Non-local Observable on Quantum Neural Networkscited by 7
  11. 2025Learning to Program Quantum Measurements for Machine Learningcited by 7
  12. 2025Quantum Reinforcement Learning by Adaptive Non-local Observablescited by 5
3 more
  1. 2026Quantum Super-resolution by Adaptive Non-local Observablescited by 4
  2. 2024QuLTSF: Long-Term Time Series Forecasting with Quantum Machine Learningcited by 3
  3. 2026Quantum Hierarchical Reinforcement Learning via Variational Quantum Circuitscited by 2

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 1.

1 paper.

  1. 2026Learning to Program Adaptive Non-Local Observables for Machine Learningcited by 0