We study a quantum algorithm to calculate energy correlators for quantum field theories, which consists of ground state preparation, applying source, sink, energy flux and real-time evolution operators and Hadamard test. We discuss how to take the asymptotic detector limit in the Hamiltonian lattice approach. We then calculate the energy correlators for the SU(2) pure gauge theory in 2+1 dimensions on 3 x 3 and 5 x 5 honeycomb lattices with j_max=1/2 at fixed couplings, by using both classical methods and the quantum algorithm studied. The results obtained from the quantum algorithm and the IBM emulator are consistent with the classical methods’ results. We lay out the path forward for calculations in the physical limit.