Perturbative Quantum Simulation: Theory and Applications

Watch a conference talk from the 18th Theory of Quantum Computation Conference (TQC 2023) exploring how to combine classical perturbation theory with quantum computing approaches for simulating large quantum systems. Learn about a novel perturbative quantum simulation method that leverages the strengths of both paradigms - using quantum processors to avoid identifying solvable unperturbed Hamiltonians while employing perturbative coupling to expand simulation capabilities beyond current hardware limitations. Discover an explicit perturbative expansion similar to the Dyson series that requires only local unitary operations, understand its optimality conditions, and see benchmarking results from simulating interacting quantum system dynamics. The 28-minute presentation by Jinzhao Sun, based on research published in arXiv:2106.05938, demonstrates how this hybrid classical-quantum approach could enable practical quantum simulations despite the constraints of noisy intermediate-scale quantum (NISQ) devices.