Enhancing Variational Quantum Eigensolvers for SU(2) Lattice Gauge Theory via Systematic State Preparation

• URL: http://arxiv.org/abs/2603.03799v1
• Date: Wed, 04 Mar 2026 07:22:36 GMT
• Title: 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 summary: We adapt the variational quantum eigensolver to non-Abelian gauge theories.<n>We outline scaling advantages when using a spin-network basis to simulate the gauge-invariant Hilbert space.<n>In this toy model, simulations allow us to investigate the impact of noise expected in current quantum devices.
• Score: 30.701912352193677
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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