Battery health prognosis using Physics-informed neural network with Quantum Feature mapping
Muhammad Imran Hossain, Md Fazley Rafy, Sarika Khushalani Solanki, and Anurag K. Srivastava

TL;DR
This paper introduces QPINN, a physics-informed neural network with Quantum Feature Mapping, significantly improving battery health prognosis accuracy and adaptability across diverse chemistries by capturing complex degradation patterns.
Contribution
It proposes a novel QPINN model that combines quantum-inspired feature mapping with physics-informed neural networks for enhanced battery SOH estimation.
Findings
Achieved 99.46% accuracy in SOH estimation across multiple datasets.
Reduced MAPE and RMSE by up to 65% and 62%, respectively, compared to baselines.
Successfully transferred models across different battery chemistries without target labels.
Abstract
Accurate battery health prognosis using State of Health (SOH) estimation is essential for the reliability of multi-scale battery energy storage, yet existing methods are limited in generalizability across diverse battery chemistries and operating conditions. The inability of standard neural networks to capture the complex, high-dimensional physics of battery degradation is a major contributor to these limitations. To address this, a physics-informed neural network with the Quantum Feature Mapping(QFM) technique (QPINN) is proposed. QPINN projects raw battery sensor data into a high-dimensional Hilbert space, creating a highly expressive feature set that effectively captures subtle, non-linear degradation patterns using Nystr\"om method. These quantum-enhanced features are then processed by a physics-informed network that enforces physical constraints. The proposed method achieves an…
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