  A highly anticipated application for quantum computers is as a universal
simulator of quantum many-body systems, as was conjectured by Richard Feynman
in the 1980s. The last decade has witnessed the growing success of quantum
computing for simulating static properties of quantum systems, i.e., the ground
state energy of small molecules. However, it remains a challenge to simulate
quantum many-body dynamics on current-to-near-future noisy intermediate-scale
quantum computers. Here, we demonstrate successful simulation of nontrivial
quantum dynamics on IBM's Q16 Melbourne quantum processor and Rigetti's Aspen
quantum processor; namely, ultrafast control of emergent magnetism by THz
radiation in an atomically-thin two-dimensional material. The full code and
step-by-step tutorials for performing such simulations are included to lower
the barrier to access for future research on these two quantum computers. As
such, this work lays a foundation for the promising study of a wide variety of
quantum dynamics on near-future quantum computers, including dynamic
localization of Floquet states and topological protection of qubits in noisy
environments.
