Z2 Lattice Gauge Theory on Non-trivial Topology and Its Quantum Simulation
High Energy Physics - Lattice
2026-01-26 v1 Other Condensed Matter
Quantum Physics
Abstract
Wegner duality is essential for Z2 lattice gauge theory, yet the duality on non-trivial topologies has remained implicit. We extend Wegner duality to arbitrary topology and dimension, obtaining a new class of Ising models, in which topology is encoded in non-local domain-wall patterns. Without the overhead of gauge constraints, simulating this model on an L*L torus requires only L*L qubits with two-body couplings, halving the conventional four-body coupled 2L*L qubits, enabling full experimental realization of Z2 lattice gauge theory on near-term devices.
Cite
@article{arxiv.2601.16776,
title = {Z2 Lattice Gauge Theory on Non-trivial Topology and Its Quantum Simulation},
author = {Jiaqi Hu and Shu Tian and Xiaopeng Cui and Rebing Wu and Man-Hong Yung and Yu Shi},
journal= {arXiv preprint arXiv:2601.16776},
year = {2026}
}
Comments
8 pages