Title: Quantum simulation of infinite temperature spin transport in Heisenberg-like models

Computing two-point time correlation functions is crucial in understanding the transport behavior in spin systems. At infinite temperature, the late-time decay exponent of the 2-point correlation functions determines whether a spin system exhibits diffusive, super-diffusive, or ballistic transport behavior. The ideal 1D Heisenberg model is known to exhibit super diffusion at late times and this behavior has been simulated in quantum hardware. We extend this investigation to a wider range of spin Hamiltonians with the motive of understanding the deviation from the superdiffusive behavior. We first demonstrate the robustness of the superdiffusive behavior in the conventional Heisenberg model. For 20-25 qubits, we navigate away from super diffusion and observe diffusive behavior in our simulation by including new interaction terms to our Hamiltonian. To enhance the accuracy of our correlation values, we mitigate noise in our simulations using standard techniques such as Measurement Error Mitigation and Pauli twirling. The observations from our quantum hardware simulations are encouraging and motivate studies involving the computation of similar spin observables for a general class of Hamiltonians.