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| Main Authors: | , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.03799 |
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| _version_ | 1866912942123909120 |
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| author | Liegener, Klaus Mattern, Dominik Korobov, Alexander Krüger, Lisa Geiger, Manuel Singh, Malay Huang, Longxiang Schneider, Christian Roy, Federico Filipp, Stefan |
| author_facet | Liegener, Klaus Mattern, Dominik Korobov, Alexander Krüger, Lisa Geiger, Manuel Singh, Malay Huang, Longxiang Schneider, Christian Roy, Federico Filipp, Stefan |
| contents | Computing the vacuum and energy spectrum in non-Abelian, interacting lattice gauge theories remains an open challenge, in part because approximating the continuum limit requires large lattices and huge Hilbert spaces. To address this difficulty with near-term quantum computing devices, we adapt the variational quantum eigensolver to non-Abelian gauge theories. We outline scaling advantages when using a spin-network basis to simulate the gauge-invariant Hilbert space and develop a systematic state preparation ansatz that creates gauge-invariant excitations while alleviating the barren plateau problem. We illustrate our method in the context of SU(2) Yang-Mills theory by testing it on a minimal toy model consisting of a single vertex in 3+1 dimensions. In this toy model, simulations allow us to investigate the impact of noise expected in current quantum devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03799 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Enhancing Variational Quantum Eigensolvers for SU(2) Lattice Gauge Theory via Systematic State Preparation Liegener, Klaus Mattern, Dominik Korobov, Alexander Krüger, Lisa Geiger, Manuel Singh, Malay Huang, Longxiang Schneider, Christian Roy, Federico Filipp, Stefan Quantum Physics High Energy Physics - Lattice Computing the vacuum and energy spectrum in non-Abelian, interacting lattice gauge theories remains an open challenge, in part because approximating the continuum limit requires large lattices and huge Hilbert spaces. To address this difficulty with near-term quantum computing devices, we adapt the variational quantum eigensolver to non-Abelian gauge theories. We outline scaling advantages when using a spin-network basis to simulate the gauge-invariant Hilbert space and develop a systematic state preparation ansatz that creates gauge-invariant excitations while alleviating the barren plateau problem. We illustrate our method in the context of SU(2) Yang-Mills theory by testing it on a minimal toy model consisting of a single vertex in 3+1 dimensions. In this toy model, simulations allow us to investigate the impact of noise expected in current quantum devices. |
| title | Enhancing Variational Quantum Eigensolvers for SU(2) Lattice Gauge Theory via Systematic State Preparation |
| topic | Quantum Physics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2603.03799 |