Engineering Higher-order Effective Hamiltonians
Jiahui Chen
Robust quantum control benefits from precise engineering of effective Hamiltonians beyond leading order. In this talk, I present a systematic methodology for higher-order Hamiltonian engineering that achieves the precision, robustness, and complexity required for advanced quantum control. Building on the framework of Average Hamiltonian Theory (AHT), I show how to identify the minimal subspace of achievable effective Hamiltonians at each order in the Magnus expansion and construct universal cost functions for targeting desired dynamics. Demonstrative examples include robust decoupling sequences that significantly outperform existing alternatives, robust engineering of a three-body interaction, and engineering of a detuning/interaction cross term.
Location
QNC 1201