Explore the potential of quantum computing for factoring in this invited talk from Crypto 2017. Delve into Shor's Factoring Algorithm, digital quantum computing challenges, and error detection methods. Examine experimental results from a 9-qubit system demonstrating bit-flip error correction. Discuss goals for quantum supremacy, quantum-resistant classical cryptography, and advancements in quantum chemistry algorithms. Learn about Feynman's vision for quantum simulation and its implications for future applications.