Quantum AI Systems (QAIS), Volume I: Foundations of Systems: 1

Foundations of Quantum AI Systems is the first volume in the five-volume Quantum AI Systems series, establishing the physical, mathematical, and operational foundations underlying scalable Quantum AI Systems (QAIS).QuSciTech Press publishes this volume under the QALIS publication brand as part of the QALIS Publication Series. The five-volume Quantum AI Systems series offers a modular study path through the material presented in the companion 13-chapter compendium, Quantum AI Systems: Theory, Architectures, and Applications: Featuring CRQC-LLM and QALIS. Volume I covers Chapters 1-3.Volume I introduces the core principles of quantum information science, including qubits, superposition, entanglement, quantum gates, measurement systems, coherence, decoherence, and noise-aware architectures. The text develops a systems-oriented framework connecting foundational quantum mechanics to emerging intelligent quantum infrastructures.Topics include quantum states and probabilistic representation, superposition and entanglement structures, quantum gates and circuit architectures, measurement and observability, noise and decoherence, foundational QAIS architectural principles, hybrid quantum-classical system integration, and introductions to the QALIS and CRQC-LLM frameworks.Designed for researchers, engineers, graduate students, technical professionals, and institutional programs, this volume offers a structured introduction to Quantum AI Systems from a systems-engineering perspective that emphasizes scalability, resilience, and operational integrity.