Automated Metric Discovery: Navigating Quantum Geometry with Symbolic Regression
Published in AI4X 2025 International Conference, 2025
Abstract: I demonstrated how symbolic regression can \(\textit{automatically learn}\) quantum geometric metrics from numerical data, recovering known formulas (e.g. Fubini-Study and Bures) in a transparent, closed-form fashion. Beyond these canonical examples, the same approach opens the door to exploring \(\textit{customized}\) quantum metrics that maximize a problem-specific objective.
Recommended citation: Yan, Xianquan. “Automated Metric Discovery: Navigating Quantum Geometry with Symbolic Regression,” 2025.
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