Structural observables for the diagnosis of quantum architectures and transpilation cost estimation
Pedro Pelegrini
Abstract
Preprint presenting a unified benchmarking study of operator-derived structural observables for quantum architectures. The work evaluates three architecture families (IBM Heavy-Hex, Square Grid, and Modular Hierarchical), investigates statistical relationships with conventional graph-theoretical descriptors, and assesses predictive capability for transpilation cost estimation using cross-topology validation.