Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory

• URL: http://arxiv.org/abs/2509.25865v2
• Date: Sat, 04 Oct 2025 01:19:27 GMT
• Title: Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory
• Authors: Praveen Balaji, Cianan Conefrey-Shinozaki, Patrick Draper, Jason K. Elhaderi, Drishti Gupta, Luis Hidalgo, Andrew Lytle,
• Abstract summary: We study methods for efficient preparation of approximate ground states of $SU(3)$ lattice gauge theory on quantum hardware.<n>We develop simple ansatz circuits for ground state preparation and test them via classical simulation on small lattices.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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