Explore the intricacies of quantum predictions in this 48-minute conference talk by John Preskill from Caltech. Delivered as part of the Noisy Intermediate-Scale Quantum Systems: Advances and Applications (DYNISQ-C22) conference at the Kavli Institute for Theoretical Physics, the lecture delves into the challenges and advancements in making predictions in quantum systems. Gain insights into integrable models, their applications in mathematical physics, condensed-matter physics, and string theory. Discover recent developments in integrable deformations of CFTs and IQFTs, integrable spin-chains, non-equilibrium dynamics, and integrable structures on string worldsheets. Suitable for researchers and practitioners across various fields of quantum physics, this talk offers a comprehensive overview of the current state of quantum predictions and their implications for future research.