Paper
Enhancing Variational Quantum Eigensolvers for SU(2) Lattice Gauge Theory via Systematic State Preparation
Authors
Klaus Liegener, Dominik Mattern, Alexander Korobov, Lisa Krüger, Manuel Geiger, Malay Singh, Longxiang Huang, Christian Schneider, Federico Roy, Stefan Filipp
Abstract
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.
Metadata
Related papers
Fractal universe and quantum gravity made simple
Fabio Briscese, Gianluca Calcagni • 2026-03-25
POLY-SIM: Polyglot Speaker Identification with Missing Modality Grand Challenge 2026 Evaluation Plan
Marta Moscati, Muhammad Saad Saeed, Marina Zanoni, Mubashir Noman, Rohan Kuma... • 2026-03-25
LensWalk: Agentic Video Understanding by Planning How You See in Videos
Keliang Li, Yansong Li, Hongze Shen, Mengdi Liu, Hong Chang, Shiguang Shan • 2026-03-25
Orientation Reconstruction of Proteins using Coulomb Explosions
Tomas André, Alfredo Bellisario, Nicusor Timneanu, Carl Caleman • 2026-03-25
The role of spatial context and multitask learning in the detection of organic and conventional farming systems based on Sentinel-2 time series
Jan Hemmerling, Marcel Schwieder, Philippe Rufin, Leon-Friedrich Thomas, Mire... • 2026-03-25
Raw Data (Debug)
{
"raw_xml": "<entry>\n <id>http://arxiv.org/abs/2603.03799v1</id>\n <title>Enhancing Variational Quantum Eigensolvers for SU(2) Lattice Gauge Theory via Systematic State Preparation</title>\n <updated>2026-03-04T07:22:36Z</updated>\n <link href='https://arxiv.org/abs/2603.03799v1' rel='alternate' type='text/html'/>\n <link href='https://arxiv.org/pdf/2603.03799v1' rel='related' title='pdf' type='application/pdf'/>\n <summary>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.</summary>\n <category scheme='http://arxiv.org/schemas/atom' term='quant-ph'/>\n <category scheme='http://arxiv.org/schemas/atom' term='hep-lat'/>\n <published>2026-03-04T07:22:36Z</published>\n <arxiv:comment>8 pages, 15 figures</arxiv:comment>\n <arxiv:primary_category term='quant-ph'/>\n <author>\n <name>Klaus Liegener</name>\n </author>\n <author>\n <name>Dominik Mattern</name>\n </author>\n <author>\n <name>Alexander Korobov</name>\n </author>\n <author>\n <name>Lisa Krüger</name>\n </author>\n <author>\n <name>Manuel Geiger</name>\n </author>\n <author>\n <name>Malay Singh</name>\n </author>\n <author>\n <name>Longxiang Huang</name>\n </author>\n <author>\n <name>Christian Schneider</name>\n </author>\n <author>\n <name>Federico Roy</name>\n </author>\n <author>\n <name>Stefan Filipp</name>\n </author>\n </entry>"
}