A minimal implementation of Yang--Mills theory on a digital quantum computer

• URL: http://arxiv.org/abs/2604.15132v1
• Date: Thu, 16 Apr 2026 15:14:16 GMT
• Title: A minimal implementation of Yang--Mills theory on a digital quantum computer
• Abstract summary: We present a minimal implementation of SU($N$) pure Yang-Mills theory in $3+1$ dimensions for digital quantum simulation.<n>Building on the orbifold lattice simulation protocol with logarithmic scaling in the local Hilbert-space truncation, we introduce further simplified Hamiltonians.<n>For the SU(2) theory, we can cut the resource requirement further by utilizing the embedding of $mathrmSU(2)congmathrmS3$ into $mathbbR4$.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a minimal implementation of SU($N$) pure Yang-Mills theory in $3+1$ dimensions for digital quantum simulation, designed to enable quantum advantage. Building on the orbifold lattice simulation protocol with logarithmic scaling in the local Hilbert-space truncation, we introduce further simplified Hamiltonians. Furthermore, we test simple methods that improve the convergence to the infinite mass limit, thereby removing the requirement of a large scalar mass to obtain the Kogut-Susskind Hamiltonian. For the SU(2) theory, we can cut the resource requirement further by utilizing the embedding of $\mathrm{SU}(2)\cong\mathrm{S}^3$ into $\mathbb{R}^4$. Monte Carlo simulations of the Euclidean path integral were used to benchmark the accuracy of these new analytical improvements to the theory. These results provide further support for the noncompact-variable-based approach as a practical framework for quantum simulation of non-Abelian gauge theories.

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