  Future quantum computers will enable novel sign-problem-free studies of
dynamical phenomena in non-perturbative quantum field theories, including
real-time evolution and spontaneous supersymmetry breaking. We are
investigating applications of quantum computing to low-dimensional
supersymmetric lattice systems that can serve as testbeds for existing and
near-future quantum devices. Here we present initial results for the
$\mathcal{N} = 1$ Wess--Zumino model in 1+1 dimensions, building on our prior
analyses of 0+1-dimensional supersymmetric quantum mechanics. In addition to
exploring supersymmetry breaking using the variational quantum eigensolver, we
consider the prospects for real-time evolution.
