This paper explores the implementation of lattice gauge theory on quantum computers, focusing on a truncated version of SU(2) gauge theory, which is a non-Abelian step toward quantum chromodynamics. The authors demonstrate effective error mitigation for imaginary time evolution on a lattice with two square plaquettes, achieving the ground state using an IBM quantum computer. They propose the triamond lattice as a practical approach to lattice gauge theories in three spatial dimensions and derive the Hamiltonian for this lattice. Error-mitigated imaginary time evolution is applied to the triamond unit cell, and the ground state is obtained from an IBM quantum computer. Future work will aim to relax the truncation on the gauge fields, making the triamond lattice increasingly valuable for such studies. The paper also discusses the symmetries and properties of the triamond lattice, which offers a systematic way to define three-dimensional lattices with only three gauge links per site, avoiding the need for additional qubits. The results demonstrate the potential of quantum computers in addressing significant scientific questions in lattice gauge theory.This paper explores the implementation of lattice gauge theory on quantum computers, focusing on a truncated version of SU(2) gauge theory, which is a non-Abelian step toward quantum chromodynamics. The authors demonstrate effective error mitigation for imaginary time evolution on a lattice with two square plaquettes, achieving the ground state using an IBM quantum computer. They propose the triamond lattice as a practical approach to lattice gauge theories in three spatial dimensions and derive the Hamiltonian for this lattice. Error-mitigated imaginary time evolution is applied to the triamond unit cell, and the ground state is obtained from an IBM quantum computer. Future work will aim to relax the truncation on the gauge fields, making the triamond lattice increasingly valuable for such studies. The paper also discusses the symmetries and properties of the triamond lattice, which offers a systematic way to define three-dimensional lattices with only three gauge links per site, avoiding the need for additional qubits. The results demonstrate the potential of quantum computers in addressing significant scientific questions in lattice gauge theory.