Explore embedding theories for quantum simulations on hybrid classical-quantum architectures in this 42-minute lecture by Giulia Galli from the University of Chicago. Delve into the quantum defect embedding theory (QDET) for studying spin-defects and impurities in solids, comparing it with other embedding frameworks and discussing its scalability and applications. Examine calculations of electronic structures of qubits performed with QDET on both classical and quantum computers. Learn about motivation, quantum embedding, defects, limitations, double counting, frequency dependence, hybrid functionals, quantum embedding theory, and the use of quantum computers in this field. Discover mitigation strategies, results, and challenges in this cutting-edge research presented at IPAM's Multiscale Approaches in Quantum Mechanics Workshop.