Mathematics of Quantum Computing

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Focusing on the mathematical foundations of quantum computing, this textbook serves as an essential resource for physicists, mathematicians, and computer scientists. It covers the necessary mathematics for quantum mechanics, exploring key concepts such as entanglement, quantum gates, and algorithms like Shor's and Grover's. Additionally, it discusses the Abelian Hidden Subgroup and Discrete Logarithm problems, linking them to Bitcoin security. With around 140 exercises and solutions, it provides a comprehensive approach to understanding both the theory and practical applications of quantum computing.