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

Fuente: arXiv
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Main Authors: Hu, Jiaqi, Tian, Shu, Cui, Xiaopeng, Wu, Rebing, Yung, Man-Hong, Shi, Yu
Format: Preprint
Published: 2026
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author Hu, Jiaqi
Tian, Shu
Cui, Xiaopeng
Wu, Rebing
Yung, Man-Hong
Shi, Yu
author_facet Hu, Jiaqi
Tian, Shu
Cui, Xiaopeng
Wu, Rebing
Yung, Man-Hong
Shi, Yu
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_16776
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Z2 Lattice Gauge Theory on Non-trivial Topology and Its Quantum Simulation
Hu, Jiaqi
Tian, Shu
Cui, Xiaopeng
Wu, Rebing
Yung, Man-Hong
Shi, Yu
High Energy Physics - Lattice
Other Condensed Matter
Quantum Physics
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.
title Z2 Lattice Gauge Theory on Non-trivial Topology and Its Quantum Simulation
topic High Energy Physics - Lattice
Other Condensed Matter
Quantum Physics
url https://arxiv.org/abs/2601.16776