  In this Letter, we analyze the quantum dynamics of the perceptron model: a
particle is constrained on a $N$-dimensional sphere, with $N\to \infty$, and
subjected to a set of randomly placed hard-wall potentials. This model has
several applications, ranging from learning protocols to the effective
description of the dynamics of an ensemble of infinite-dimensional hard spheres
in Euclidean space. We find that the jamming transition with quantum dynamics
shows critical exponents different from the classical case. We also find that
the quantum jamming transition, unlike the typical quantum critical points, is
not confined to the zero-temperature axis, and the classical results are
recovered only at $T=\infty$. Our findings have implications for the theory of
glasses at ultra-low temperatures and for the study of quantum machine-learning
algorithms.
