大规模四体相互作用All-to-All连接Ising仿真
Large-scale Ising Emulation with Four-Body Interaction and All-to-All Connection
摘要：
我们提出并证明了一个非线性光学的方法来模拟伊辛机包含多达100万个自旋和定制的两个和四体相互作用与所有到所有的连接。它使用空间光调制器对相干激光束中的自旋进行编码和控制，并在傅里叶平面上模拟非线性晶体中的频率转换高阶相互作用。通过自适应反馈控制，系统可以演化为有效的自旋组态，很好地逼近具有全对全连接多体相互作用的伊辛哈密顿量的基态。我们的技术可以作为一种新的工具来探测复杂的多体物理，并在大数据优化，计算和分析中产生令人兴奋的应用。
英文摘要：
We propose and demonstrate a nonlinear optics approach to emulate Ising machines containing up to a million spins and with tailored two and four-body interactions with all-to-all connections. It uses a spatial light modulator to encode and control the spins in the form of the binary phase values of wavelets in coherent laser beams, and emulates the high-order interaction with frequency conversion in a nonlinear crystal at the Fourier plane. By adaptive feedback control, the system can be evolved into effective spin configurations that well approximate the ground states of Ising Hamiltonians with all-to-all connected many-body interactions. Our technique could serve as a new tool to probe complex, many-body physics and give rise to exciting applications in big data optimization, computing, and analytics.
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