Title: Oscillator Potts machines: An overdamped Langevin model for low-energy sampling of the standard Potts model Show Chinese title

Title: 振子 Potts 机：用于标准 Potts 模型低能采样的过阻尼 Langevin 模型

Abstract: The standard Potts model is a fundamental model in statistical physics that generalizes the Ising model. Although Ising machines, as Langevin models, have been widely studied for sampling the Ising model, studies of Langevin models for sampling the standard Potts model are still lacking. In this work, we present a compact and physically realizable Langevin model that serves as a sampler for sampling the low-energy spin configurations of the standard Potts model. Show Chinese abstract

Abstract: 标准Potts模型是统计物理中的一个基本模型，它推广了Ising模型。 尽管作为Langevin模型的Ising机器已经被广泛研究用于采样Ising模型，但针对标准Potts模型的Langevin模型的采样研究仍然缺乏。 在本工作中，我们提出了一种紧凑且物理可实现的Langevin模型，该模型可作为采样器用于采样标准Potts模型的低能自旋配置。