Speaker
Description
Real-time evolution is a key primitive for quantum simulation of lattice field theories and spin models, but practical implementations are constrained by circuit depth and accumulated error. Trotter-Suzuki methods remain widely used for Hamiltonian simulation because they compile directly into structured circuits with clear error-resource tradeoffs. We present new highly efficient families of product formulas at fourth- and sixth-order based on the Omelyan optimisation method, and report ongoing progress toward eighth order schemes—a regime that has seen comparatively limited exploration. Using the Heisenberg XXZ model as a benchmark, we evaluate the practical performance of schemes. To support reproducible, circuit level studies, we also introduce qiskit-omelyan, an open-source Qiskit package that generates efficient time-evolution circuits for parameterized product formulas. Finally, we report preliminary noise-aware studies using standard noise models, highlighting when Trotter error and hardware noise trade off.