标题： 三个强耦合的Kerr参量振子构成一个玻尔兹曼机 显示英文标题

标题： Three strongly coupled Kerr parametric oscillators forming a Boltzmann machine

摘要： 耦合的Kerr参量振荡器（KPO）是经典和量子类比计算的一个有前景的资源，例如用于寻找伊辛哈密顿量的基态。 然而，强耦合KPO网络的状态空间非常复杂。 因此，它们的相图有时会包含过多或过少的状态，其中包括一些无法映射到伊辛自旋构型的状态。 这种复杂性使得找到并满足类优化算法成功的条件变得具有挑战性。 在这里，我们展示了如何使用三个强耦合的KPO作为伊辛哈密顿量的模拟器，并通过玻尔兹曼采样测量来估算其基态。 尽管完全是经典的，我们的工作直接适用于在相干态上运行的量子系统。 显示英文摘要

摘要： Coupled Kerr parametric oscillators (KPOs) are a promising resource for classical and quantum analog computation, for example to find the ground state of Ising Hamiltonians. Yet, the state space of strongly coupled KPO networks is very involved. As such, their phase diagram sometimes features either too few or too many states, including some that cannot be mapped to Ising spin configurations. This complexity makes it challenging to find and meet the conditions under which an analog optimization algorithm can be successful. Here, we demonstrate how to use three strongly coupled KPOs as a simulator for an Ising Hamiltonian, and estimate its ground state using a Boltzmann sampling measurement. While fully classical, our work is directly relevant for quantum systems operating on coherent states.