We find the ground-state energy of the Ising model using the Cascaded Variational Quantum Eigensolver (CVQE) algorithm with the Guided-Sampling Ansatz (GSA) using up to 63 qubits on a quantum computer. We study a heavy-hex lattice to match the qubit architecture, allowing us to perform calculations in the quantum utility regime. We study both a homogeneous and random-coupling model. We locate the boundary of acceptable quantum errors as a function of the number of qubits and coupling strength. An entropic analysis is performed giving insights into the quantum computing performance. A subspace analysis is performed that suggests that the Ising model is especially suited for near-term quantum computing.
@article{arxiv.2604.25715,
title = {Ground-state energies of Ising models calculated using the samples from a quantum computer that simulates short-time evolution},
author = {John P. T. Stenger and C. Stephen Hellberg and Daniel Gunlycke},
journal= {arXiv preprint arXiv:2604.25715},
year = {2026}
}