In this Letter, we analyze the quantum dynamics of the perceptron model: a particle is constrained on an $N$-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 ultralow temperatures and for the study of quantum machine-learning algorithms.

中文翻译：

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量子干扰：量子机械感知器的关键特性

在这封信中，我们分析了感知器模型的量子动力学：一个粒子被约束在一个 $ñ$维球体，具有 $ñ\to \infty$，并承受一组随机放置的硬壁电势。该模型具有多种应用，从学习协议到对欧几里得空间中无限维硬球体整体动力学的有效描述。我们发现，具有量子动力学的干扰跃迁显示出与经典情况不同的临界指数。我们还发现，与典型的量子临界点不同，量子干扰跃迁不限于零温度轴，而经典结果仅在$Ť=\infty$。我们的发现对超低温下的玻璃理论以及量子机器学习算法的研究都具有重要意义。