This book constitutes the refereed post-conference proceedings of the Second Gavriel Salvendy International Symposium, on Frontiers in Industrial Engineering - Purdue Quantum AI, PQAI 2025, held in West Lafayette, USA, during October 23–24, 2025. The 10 full papers, 8 short papers, and 2 extended abstracts included in this book were selected from 22 carefully reviewed submissions and seven invited submissions. These papers were categorized under following topical sections: Quantum Machine Learning and Models; Quantum Optimization and Linear Systems; Quantum Cognition and Human-Centered Computing.