How Shor's Algorithm Factors 314191

The video explains how quantum computers, specifically using Shor's algorithm, can factor large numbers to break encryption. It demonstrates the process of using a quantum computer to find factors of a number by making random guesses, using superposition, and applying a quantum Fourier transform. The video also covers the use of Euclid's algorithm to verify the factors found. The example used involves factoring the number 314,191 to break an encryption, illustrating the steps and calculations involved in the process.

What role does the quantum Fourier transform play in the algorithm?

How does the example conclude with breaking the encryption for the bank vault?