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A notable example is Shor's Algorithm, which fundamentally changes how we can factor large integers—an essential operation for encryption protocols used in securing online communications. While classical methods for factorization grow exponentially in complexity with larger numbers, Shor’s polynomial-time algorithm demonstrates that quantum computers can achieve this task far more efficiently, which has massive implications for cybersecurity.
Grover's Algorithm
Another example is Grover's Algorithm, designed for searching unsorted databases more efficiently than classical algorithms. Such algorithms indicate that quantum computing holds the potential for significant speedup over conventional computational methods.