The transverse-field Ising model serves as a paradigm for studying confinement and excitation spectra, particularly the emergence of E8 symmetry near criticality. However, experimentally resolving the Ising meson spectroscopy required to verify these symmetries is challenging on near-term quantum hardware due to the depth of circuits required for real-time evolution. Here, we demonstrate improved spectroscopy of confined excitations using two distinct error-resilient circuit construction techniques on the IBM Torino device: first-order Trotter decomposition utilizing native fractional gates, and a tensor-network-based circuit compression via Riemannian optimization. By analyzing the Fourier spectrum of error-mitigated time-series data, we successfully identify key signatures of E8 symmetry despite hardware noise. These results validate the viability of both circuit compression and hardware-efficient compilation for probing complex topological phenomena on NISQ devices.
@article{arxiv.2512.02516,
title = {Improved Ising Meson Spectroscopy Simulation on a Noisy Digital Quantum Device},
author = {Hao-Ti Hung and Isabel Nha Minh Le and Johannes Knolle and Ying-Jer Kao},
journal= {arXiv preprint arXiv:2512.02516},
year = {2025}
}