How do quantum bits (qubits) differ from classical bits in terms of superposition and entanglement? What are the basic principles behind quantum gates and quantum circuits, and how do they enable quantum computations? Can you explain the role of quantum algorithms, like Shor's algorithm for factoring and Grover's algorithm for search, in demonstrating the potential advantages of quantum computing over classical computing? Additionally, what are the current challenges in building and maintaining quantum computers, such as error correction and qubit coherence?
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