Improved Ising Meson Spectroscopy Simulation on a Noisy Digital Quantum Device

TL;DR

This paper demonstrates enhanced Ising meson spectroscopy on noisy quantum hardware by employing error-resilient circuit techniques, successfully identifying $E_8$ symmetry signatures despite hardware noise.

Contribution

It introduces two novel error-mitigating circuit methods for spectroscopy on NISQ devices, enabling the detection of complex topological phenomena.

Findings

Successful identification of $E_8$ symmetry signatures

Validation of circuit compression techniques on real hardware

Effective noise mitigation in quantum spectroscopy

Abstract

The transverse-field Ising model serves as a paradigm for studying confinement and excitation spectra, particularly the emergence of $E_8$ 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 $E_8$ 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.