How do quantum circuits use entanglement to perform computations more efficiently?

Example Concept: Entanglement in quantum circuits allows qubits to be in a superposition of states that are correlated, meaning the state of one qubit is directly related to the state of another. This correlation is utilized in quantum algorithms to perform operations on multiple qubits simultaneously, enabling tasks like factoring large numbers or searching unsorted databases exponentially faster than classical algorithms. For instance, in Grover's algorithm, entanglement is used to amplify the probability of the correct answer, significantly reducing the number of iterations needed compared to classical search methods.