Explore the fascinating world of quantum computing in this Green Family Lecture presented by Peter Shor from the Massachusetts Institute of Technology at UCLA's Institute for Pure & Applied Mathematics. Delve into the groundbreaking discoveries in quantum computing, including Shor's own pivotal work on prime factorization. Gain insights into how quantum mechanics revolutionizes information theory, computation, and cryptography. Understand the profound implications of quantum information processing and its ability to accomplish tasks impossible with classical computers. Learn about the historical context of quantum mechanics, from its initial formulation to the realization of its pervasive strangeness. Discover how quantum channels transform information transmission and enable novel cryptographic protocols. This 53-minute lecture offers a comprehensive overview of quantum computing's potential and its far-reaching impact on various scientific fields.