<p>In this study, we investigate the properties of entanglement, nonlocal correlations, and the quantum-memory-assisted entropic uncertainty relation (QMA–EUR) in graphene, framed within the Hubbard model and in equilibrium with a thermal reservoir. We provide a comprehensive analysis of the effects of the nearest-neighbor Coulomb interaction (<i>V</i>), the on-site Coulomb interaction (<i>U</i>), and equilibrium temperature (<i>T</i>) on Bures distance entanglement, Bell nonlocality, and QMA–EUR. Our results indicate that entanglement and Bell nonlocality are highly sensitive to temperature, showing a significant decline at elevated temperatures, while QMA–EUR increases under the same conditions. We further demonstrate that both <i>U</i> and <i>V</i> are crucial for enhancing and preserving quantum correlations, even in the presence of thermal fluctuations. By optimizing these interactions, we can mitigate the detrimental effects of temperature, resulting in reduced QMA–EUR and enhanced nonlocal correlations and entanglement in graphene. These findings offer valuable insights into controlling non-classical resources in graphene and suggest strategies for optimizing quantum correlations in quantum information processing applications.</p>