Large-scale Ising Emulation with Four-Body Interaction and All-to-All Connection

• URL: http://arxiv.org/abs/2001.05680v1
• Date: Thu, 16 Jan 2020 06:58:02 GMT
• Title: Large-scale Ising Emulation with Four-Body Interaction and All-to-All Connection
• Authors: Santosh Kumar, He Zhang, and Yu-Ping Huang
• Abstract summary: We propose and demonstrate a nonlinear optics approach to emulate Ising machines containing up to a million spins. 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. By adaptive feedback control, the system can be evolved into effective spin configurations that well approximate the ground states of Ising Hamiltonians.
• Score: 10.249708345143343
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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