In recent years superconducting qubits have become one of the leading platforms for quantum computation and simulation. In 2019 and by using a 53 qubit processor, the google team demonstrated that a quantum processor could perform certain computational tasks exponentially faster than a classical computer . Going beyond this milestone, we seek to utilize these Noisy Intermediate Scale Quantum (NISQ) processors to study computationally intractable nonequilibrium quantum dynamics. I will present some of our recent works in studying integrability breaking  and universality classes of infinite temperature dynamics in the 1D Heisenberg chain . The aim of the talk is to provide a sense of what NISQ discoveries to anticipate and a time scale for them.
 Nature 574, 505–510 (2019)
 Nature 612, 240-245 (2022)