A minimal implementation of Yang-Mills theory on a digital quantum computer
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| Format: | Preprint |
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2026
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| _version_ | 1866911598763835392 |
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| author | Bergner, Georg Hanada, Masanori Mendicelli, Emanuele |
| author_facet | Bergner, Georg Hanada, Masanori Mendicelli, Emanuele |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_15132 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A minimal implementation of Yang-Mills theory on a digital quantum computer Bergner, Georg Hanada, Masanori Mendicelli, Emanuele High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics 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. |
| title | A minimal implementation of Yang-Mills theory on a digital quantum computer |
| topic | High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2604.15132 |