Dancing with Qubits

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Explore the principles and practicalities of quantum computing. Discover how quantum computing works and the mathematics behind it, as it may become the most significant computer technology of the century. This textbook provides an overview of quantum computing's distinct nature compared to classical computing, highlighting industry use cases where it can make a substantial impact. It begins with classical computing fundamentals and the mathematical concepts necessary to grasp superposition, entanglement, and interference. The book covers both basic and advanced circuits and algorithms, followed by a survey of the physics and engineering behind quantum computing hardware. It also looks ahead, offering insights into how future developments will influence the field. Understanding quantum computing requires a solid grasp of math, which is thoroughly explained in clear language with helpful examples. Readers will learn how quantum computing operates, the mechanics of quantum systems, and the essential concepts of both classical and quantum computing. The book also covers applications in scientific computing, AI, and more, providing a detailed overview of qubits, quantum circuits, and algorithms. This textbook is ideal for those eager to explore the complexities of quantum computing, particularly individuals with an interest in mathematics, physics, engineering, and computing.