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arXiv · 2601.16776

Z2 Lattice Gauge Theory on Non-trivial Topology and Its Quantum Simulation

Jiaqi Hu·Shu Tian·Xiaopeng Cui·Rebing Wu·Man-Hong Yung·Yu Shi
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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.

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Jiaqi Hu, Shu Tian, Xiaopeng Cui, Rebing Wu, Man-Hong Yung, Yu Shi. 2026-01-23. Z2 Lattice Gauge Theory on Non-trivial Topology and Its Quantum Simulation. https://arxiv.org/abs/2601.16776

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