  Analog quantum simulation is emerging as a powerful tool for uncovering
classically unreachable physics such as many-body real-time dynamics. A
complete quantification of uncertainties is necessary in order to make precise
predictions using simulations on modern-day devices. Therefore, the inherent
physical limitations of the device on the parameters of the simulation must be
understood. This analysis examines the interplay of errors arising from
simulation of approximate time evolution with those due to practical,
real-world device constraints. These errors are studied in Heisenberg-type
systems on analog quantum devices described by the Ising Hamiltonian. A general
framework for quantifying these errors is introduced and applied to several
proposed time evolution methods, including Trotter-like methods and
Floquet-engineered constant-field approaches. The limitations placed on the
accuracy of time evolution methods by current devices are discussed.
Characterization of the scaling of coherent effects of different error sources
provides a way to extend the presented Hamiltonian engineering methods to take
advantage of forthcoming device capabilities.
