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This lecture explores the computational study of quantum interaction phenomena in materials, focusing on high-performance computing (HPC). Topics include N-particle quantum mechanics, ab initio GW and GW-BSE approaches, and the application to various materials. The lecture also covers the Center for Computational Study of Excited-State Phenomena in Energy Materials, the BerkeleyGW package, and the field-driven phenomena in Angle-Resolved Photoemission Spectroscopy. Additionally, it discusses exascale computing for the DOE Office of Science, GPU-accelerated systems, and the performance of CPUs versus GPUs. The lecture concludes with a detailed overview of the NOMAD Center of Excellence and its mission to advance computational materials science.