  The Schwinger model describes quantum electrodynamics in 1+1-dimensions, it
is a prototype for quantum chromodynamics, and its lattice version allows for a
quantum link model description that can be simulated using modern quantum
devices. In this work, we devise quantum simulations to investigate the
dynamics of this model in its low dimensional form, where the gauge field
degrees of freedom are described by spin 1/2 operators. We apply trotterization
to write quantum circuits that effectively generate the evolution under the
Schwinger model Hamiltonian. We consider both sequential circuits, with a fixed
gate sequence, and randomized ones. Utilizing the correspondence between the
Schwinger model and the PXP model, known for its quantum scars, we investigate
the presence of quantum scar states in the Schwinger model by identifying
states exhibiting extended thermalization times in our circuit evolutions. Our
comparison of sequential and randomized circuit dynamics shows that the
non-thermal sector of the Hilbert space, including the scars, are more
sensitive to randomization.
