aiqbench analysis

This research demonstrates that fermion-to-qubit mappings like Bravyi-Kitaev impose intrinsic hypergraph geometries on quantum Hamiltonians rather than acting as neutral translation layers. By quantifying connections between kinetic and interaction terms, the study provides a new geometric framework for optimizing qubit architectures in many-body simulations such as Hubbard models. This advances our understanding of how encoding choices fundamentally shape the structural representation of complex physical systems before computation begins.