Dancing with Qubits: How quantum computing works and how it can change the world (repost)

Dancing with Qubits starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it may have a major impact. From there it moves on to a fuller description of classical computing and the mathematical underpinnings necessary to understand such concepts as superposition, entanglement, and interference. Next up is circuits and algorithms, both basic and more sophisticated. It then nicely moves on to provide a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, it looks to the future and gives you a guide to understand how further developments will affect you.