We developed a practical quantum advantage benchmarking framework that connects the accumulation of entropy in a quantum processing unit and the degradation of the solution to a target optimization problem. The benchmark is based on approximating from below the Gibbs states boundary in the energy-entropy space for the application of interest. We believe the proposed benchmarking technique creates a powerful bridge between hardware benchmarking and application benchmarking, while remaining hardware-agnostic. It can be extended to fault-tolerant scenarios and relies on computationally tractable numerics. We demonstrate its applicability on the problem of finding the ground state of the two-dimensional Fermi-Hubbard.
@article{arxiv.2510.00930,
title = {Probing quantum advantage for solving the Fermi-Hubbard model with entropy benchmarking},
author = {Pauline Besserve and Raúl García-Patrón},
journal= {arXiv preprint arXiv:2510.00930},
year = {2025}
}