Document Type

Article

Publication Date

2025

DOI

10.1007/JHEP06(2025)084

Publication Title

Journal of High Energy Physics

Volume

2025

Issue

6

Pages

84 (1-33)

Abstract

We present a quantum computational framework for pure SU(2) lattice gauge theory, using continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as a two-dimensional grid of plaquettes, detailing the use of gauge fixing to reduce the degrees of freedom and simplify the Hamiltonian. We demonstrate how system dynamics, ground states, and energy gaps can be computed using the continuous-variable approach to quantum computing. Our results indicate that it is feasible to study non-Abelian gauge theories with continuous variables, providing new avenues for understanding the real-time dynamics of quantum field theories.

Rights

© 2025 The Authors.

This article is distributed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) License, which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Data Availability

Article states: "This article has no associated data or the data will not be deposited."

Original Publication Citation

Ale, V., Bauer, N. M., Jha, R. G., Ringer, F., & Siopsis, G. (2025). Quantum computation of SU(2) lattice gauge theory with continuous variables. Journal of High Energy Physics, 2025(6), 1-33, Article 84. https://doi.org/10.1007/JHEP06(2025)084

ORCID

0000-0002-5939-3510 (Ringer)

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