Real-time correlators contain rich physics information about dynamical properties of a quantum system. For non-Abelian gauge theories like QCD, their nonperturbative calculations are limited due to the sign problem in the Euclidean lattice approach. This motivates studying their computations in the Hamiltonian lattice approach, potentially enabled by quantum computers. In this talk, I will discuss two examples in 2+1D SU(2) lattice gauge theory: The first one is the energy correlator, a collider observable that has been extensively studied recently. The other is the symmetric and retarded Green’s functions of stress-energy tensors at finite temperature, from which transport coefficients such as shear viscosity can be extracted. I will discuss the quantum algorithms that can be used to compute them and show some benchmark results obtained classically. Finally I will give an outlook towards future physical calculations.