Stoquastic Hamiltonians in Quantum Computing - Lecture 5

Explore stoquastic Hamiltonians in this advanced lecture from the Park City Mathematics Institute's 2023 Quantum Computation program. Delve into quantum Hamiltonian complexity theory, focusing on computational challenges in quantum systems and the complexity of ground states. Learn formal approaches to computing fundamental properties of quantum systems, moving beyond traditional heuristic methods. Examine both finite and infinite systems while analyzing the computational resources needed for ground state calculations. Access complementary materials including detailed lecture notes and problem sets that reinforce understanding of stoquastic Hamiltonians and quantum complexity concepts. Part of a comprehensive graduate summer school featuring leading experts in quantum computation, this lecture connects to broader themes in quantum learning, information theory, error-correcting codes, and the analysis of near-term quantum devices.