Sodium-ion batteries (SIBs) are becoming progressively more prevalent as a feasible substitute for lithium-ion batteries (LIBs) due to the rising need for affordable and sustainable energy storage on a worldwide scale. Because sodium is abundant and relatively inexpensive, SIBs seem appealing. However, the intricacy of their electrochemical properties, which includes ion transport, intercalation kinetics, and thermal characteristics poses a hindrance to their broad adoption. Current available classical algorithms struggle with scalability, nonlinearity, and computational intensity of electrical vehicle (EV) battery models. This paper proposes a quantum-assisted state estimation framework tailored to enhance predictive accuracy and computational robustness of battery state estimation using a hybrid quantum-classical model. Our approach proposes utilizing simulated data derived from a physics-based pseudo-twodimensional (P2D) electrochemical model to train and validate a variational quantum circuit (VQC) designed for state of charge (SOC) and voltage prediction. Although no quantum hardware execution is performed in this study, rather this work introduces a framework and simulation-ready methodology for future deployment. The results show theoretical viability and potential for superior (hybrid) quantum performance compared to classical-only models, laying the groundwork for quantumenhanced battery management systems.