Uniform Observable Error Bounds for Trotter Formulae in Semiclassical Regime

Watch a conference talk from TQC 2023 exploring groundbreaking research on Trotter formulae error bounds in quantum computing simulation. Delve into how the computational cost for certain observables can be significantly reduced compared to current state-of-the-art bounds, particularly in the semiclassical regime. Learn about the development of uniform-in-h observable error bounds for the semiclassical Schrödinger equation that maintain convergence order, marking a significant advancement in the field. Discover how this research, grounded in semiclassical calculus and discrete microlocal analysis, demonstrates potential improvements by leveraging multiscale properties and the smallness of the effective Planck constant, offering new insights into cross-scale quantum dynamics simulation. Presented at the 18th Conference on the Theory of Quantum Computation, Communication and Cryptography at the University of Aveiro, Portugal, this 26-minute presentation challenges the no fast-forwarding theorem and explores innovative approaches to quantum simulation efficiency.