The need for solving optimization problems is prevalent in a wide range of physical applications, including neuroscience, network design, biological systems, socio-economics, and chemical reactions. Many of these are classified as non-deterministic polynomial-time (NP) hard and thus become intractable to solve as the system scales to a large number of elements. Recent research advances in photonics have sparked interest in using a network of coupled degenerate optical parametric oscillators (DOPO's) to effectively find the ground state of the Ising Hamiltonian, which can be used to solve other combinatorial optimization problems through polynomial-time mapping. Here, using the nanophotonic silicon-nitride platform, we propose a network of on-chip spatial-multiplexed DOPO's for the realization of a photonic coherent Ising machine. We demonstrate the generation and coupling of two microresonator-based DOPO's on a single chip. Through a reconfigurable phase link, we achieve both in-phase and out-of-phase operation, which can be deterministically achieved at a fast regeneration speed of 400 kHz with a large phase tolerance. Our work provides the critical building blocks towards the realization of a chip-scale photonic Ising machine.

中文翻译：

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用于实现相干伊辛机的纳米光子自旋玻璃

解决优化问题的需求普遍存在于广泛的物理应用中，包括神经科学、网络设计、生物系统、社会经济学和化学反应。其中许多被归类为非确定性多项式时间 (NP) 困难，因此随着系统扩展到大量元素而变得难以解决。光子学的最新研究进展激发了人们对使用耦合简并光学参量振荡器 (DOPO) 网络有效地找到伊辛哈密顿量的基态的兴趣，该基态可用于通过多项式时间映射解决其他组合优化问题。在这里，我们使用纳米光子氮化硅平台，提出了一种用于实现光子相干伊辛机的片上空间复用 DOPO 网络。我们演示了在单个芯片上生成和耦合两个基于微谐振器的 DOPO。通过可重新配置的相位链路，我们实现了同相和异相操作，这可以在 400 kHz 的快速再生速度和大相位容差下确定性地实现。我们的工作为实现芯片级光子伊辛机提供了关键的构建模块。