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How Quantum Computers Break Encryption - Shor's Algorithm Explained

MinutePhysics via YouTube

Overview

Explore the groundbreaking Shor's Algorithm in this informative video, which delves into how quantum computers can efficiently factor large pseudoprime integers into their prime factors. Discover the number-theoretic analysis of the factoring problem using modular arithmetic and learn about finding the order or period of random coprime numbers. Understand the exponential speedup achieved through the quantum fast Fourier transform and its role in period-finding. Gain insights into RSA encryption, modulo multiplication group tables, difference of squares factorization, Euclid's Algorithm, and various factoring methods. Examine experimental implementations of Shor's Algorithm and its potential impact on current encryption methods like TLS and SSL.

Syllabus

How Quantum Computers Break Encryption | Shor's Algorithm Explained

Taught by

minutephysics

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