Example Concept: Entanglement allows quantum algorithms to leverage superposition and interference to process information in parallel. In Shor's algorithm, entanglement is used to factor large numbers efficiently by maintaining coherence across qubits, enabling the quantum Fourier transform to identify periodicities. Similarly, Grover's algorithm uses entanglement to amplify the probability of finding the correct solution in an unstructured search problem, reducing the number of required operations compared to classical methods.