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Quantum Simulation
Z2 Lattice Gauge Theory on Non-trivial Topology and Its Quantum Simulation
arXiv
Authors: Jiaqi Hu, Shu Tian, Xiaopeng Cui, Rebing Wu, Man-Hong Yung, Yu Shi
Year
2026
Paper ID
3415
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Wegner duality is essential for Z2 lattice gauge theory, yet the duality on non-trivial topologies has remained implicit.
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