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Volatility time series modeling by single-qubit quantum circuit learning

Published: December 11, 2025 | arXiv ID: 2512.10584v1

By: Tetsuya Takaishi

Potential Business Impact:

Predicts stock market ups and downs better.

Business Areas:
Quantum Computing Science and Engineering

We employ single-qubit quantum circuit learning (QCL) to model the dynamics of volatility time series. To assess its effectiveness, we generate synthetic data using the Rational GARCH model, which is specifically designed to capture volatility asymmetry. Our results show that QCL-based volatility predictions preserve the negative return-volatility correlation, a hallmark of asymmetric volatility dynamics. Moreover, analysis of the Hurst exponent and multifractal characteristics indicates that the predicted series, like the original synthetic data, exhibits anti-persistent behavior and retains its multifractal structure.

Country of Origin
🇯🇵 Japan

Page Count
9 pages

Category
Quantitative Finance:
Computational Finance