论文标题

旋转厅伊辛机器

A Spin Hall Ising Machine

论文作者

Houshang, Afshin, Zahedinejad, Mohammad, Muralidhar, Shreyas, Checinski, Jakub, Awad, Ahmad A., Åkerman, Johan

论文摘要

ISING机器(IMS)是物理系统,旨在通过其二进制旋转的耦合强度找到将映射到IM映射到IM的解决方案(CO)问题。 IM使用固有动力学和不同的退火方案,随着时间的推移而放松到其最低的能量状态,这是解决CO问题的解决方案。 IMS已在量子,光学和电子硬件中实施。一种有前途的方法使用相互作用的非线性振荡器,其相位通过注射锁定的固有频率两倍就被二进制。在这里,我们使用纳米收缩的旋转霍尔纳米振荡器(SHNO)阵列演示了这种振荡器IMS。我们展示了如何轻易地将SHNO阵列进行二进制,以及所得的微波功率如何与定义明确的全球相状态相对应。为了区分退化状态,我们使用相位分辨的布里渊散射(BLS)显微镜直接观察每个纳米收缩的单个相。

Ising Machines (IMs) are physical systems designed to find solutions to combinatorial optimization (CO) problems mapped onto the IM via the coupling strengths of its binary spins. Using the intrinsic dynamics and different annealing schemes, the IM relaxes over time to its lowest energy state, which is the solution to the CO problem. IMs have been implemented in quantum, optical, and electronic hardware. One promising approach uses interacting nonlinear oscillators whose phases have been binarized through injection locking at twice their natural frequency. Here we demonstrate such Oscillator IMs using nano-constriction spin Hall nano-oscillator (SHNO) arrays. We show how the SHNO arrays can be readily phase binarized and how the resulting microwave power corresponds to well-defined global phase states. To distinguish between degenerate states we use phase-resolved Brillouin Light Scattering (BLS) microscopy to directly observe the individual phase of each nano-constriction.

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