Shor's algorithm is a quantum computational procedure that solves the integer factorization problem by reducing it to finding the period (order) of modular exponentiation functions via quantum superposition and interference. The core theoretical mechanism relies on applying the Quantum Fourier Transform to extract periodicity information from a function where wrong answers destructively interfere, leaving only the correct period state for measurement. This algorithm demonstrates how properties derived from number theory can be exponentially accelerated by quantum mechanical principles compared to classical computational limits.
Shor's algorithm is a quantum computational procedure that solves the integer factorization problem by reducing it to finding the period (order) of modular exponentiation functions via quantum superp…