Quantum AI Systems (QAIS), Volume I: Foundations of Quantum AI Systems establishes the foundational principles of quantum information science and the integration of artificial intelligence within a rigorous system-level framework for deploying and governing quantum-enabled architectures. Designed for students, researchers, professionals, and technically informed readers, the work develops Quantum AI Systems (QAIS) as a systems discipline spanning representation, learning, communication, governance, and deployment. Volume I establishes the foundational principles of quantum information science, including quantum states, qubits, gates, circuits, measurement, coherence, noise, and operational system behavior that support the architectures developed throughout the series.