Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory
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| Format: | Preprint |
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2025
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| author | Balaji, Praveen Conefrey-Shinozaki, Cianan Draper, Patrick Elhaderi, Jason K. Gupta, Drishti Hidalgo, Luis Lytle, Andrew |
| author_facet | Balaji, Praveen Conefrey-Shinozaki, Cianan Draper, Patrick Elhaderi, Jason K. Gupta, Drishti Hidalgo, Luis Lytle, Andrew |
| contents | We study methods for efficient preparation of approximate ground states of $SU(3)$ lattice gauge theory on quantum hardware. Working in a variant of the electric basis, we introduce a refinement of the irrep truncation based on the energy density of site singlets, which provides a finer gradation of simulation complexity. Using strong-coupling perturbation theory as a guide, we develop simple ansatz circuits for ground state preparation and test them via classical simulation on small lattices, including the $2\times 2$ plaquette lattice in $d=2$ and the cube in $d=3$. We contrast state fidelities and resource requirements of variational methods against adiabatic state preparation and introduce a method that hybridizes the two approaches. Finally, we report on the public release of \texttt{ymcirc} -- a package of tools for building $SU(3)$ circuits and processing measurements -- and \texttt{pyclebsch}, a package for efficiently computing $SU(N)$ Clebsch-Gordan coefficients. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_25865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory Balaji, Praveen Conefrey-Shinozaki, Cianan Draper, Patrick Elhaderi, Jason K. Gupta, Drishti Hidalgo, Luis Lytle, Andrew High Energy Physics - Lattice High Energy Physics - Phenomenology Quantum Physics We study methods for efficient preparation of approximate ground states of $SU(3)$ lattice gauge theory on quantum hardware. Working in a variant of the electric basis, we introduce a refinement of the irrep truncation based on the energy density of site singlets, which provides a finer gradation of simulation complexity. Using strong-coupling perturbation theory as a guide, we develop simple ansatz circuits for ground state preparation and test them via classical simulation on small lattices, including the $2\times 2$ plaquette lattice in $d=2$ and the cube in $d=3$. We contrast state fidelities and resource requirements of variational methods against adiabatic state preparation and introduce a method that hybridizes the two approaches. Finally, we report on the public release of \texttt{ymcirc} -- a package of tools for building $SU(3)$ circuits and processing measurements -- and \texttt{pyclebsch}, a package for efficiently computing $SU(N)$ Clebsch-Gordan coefficients. |
| title | Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Quantum Physics |
| url | https://arxiv.org/abs/2509.25865 |