Neutrosophic Quantum Computing

This book investigates the mathematical foundations of neutrosophic quantum computing and explores connections between neutrosophic mathematics, quantum information theory, and quantum computation. It brings together fifteen interconnected studies devoted to the representation and analysis of incomplete, indeterminate, and potentially conflicting information in quantum computational frameworks. The volume begins with the mathematical foundations of quantum computing, including Hilbert spaces, qubits, quantum states, linear operators, superposition, measurement, and quantum gates. It subsequently examines how neutrosophic descriptions based on truth, indeterminacy, and falsity degrees can supplement conventional quantum-mechanical models. Particular attention is devoted to quantum circuits, quantum algorithms, entanglement, graph-based representations, and measurement-based quantum computation, including cluster-state models. A central methodological principle is the distinction between quantum probabilities and neutrosophic informational annotations. The proposed mathematical constructions are examined through definitions, theoretical results, illustrative examples, and discussions of their limitations. The book also identifies open problems concerning the consistent propagation of neutrosophic information through quantum operations, the interpretation of measurement records, and the mathematical characterization of uncertainty in quantum information processing. The work provides a theoretical framework for further investigations at the intersection of neutrosophic logic, mathematical structures, quantum information, and computational methods, while emphasizing mathematical rigor and compatibility with established quantum theory.