Antiferromagnetic spatial photonic Ising machine through optoelectronic correlation computing

TL;DR

This paper introduces an optoelectronic spatial photonic Ising machine capable of efficiently solving antiferromagnetic models and large-scale combinatorial problems using a simple, scalable setup with phase-only spatial light modulation.

Contribution

It presents the first implementation of an antiferromagnetic spatial photonic Ising machine using a gauge transformation and phase-only modulation, demonstrating scalability and programmability.

Findings

Successfully implemented ground state search for 40,000-spin antiferromagnetic model

Demonstrated practical applicability to large-scale statistical and optimization problems

Showed the system's programmability and scalability in experimental setup

Abstract

Recently, spatial photonic Ising machines (SPIM) have been demonstrated to compute the minima of Hamiltonians for large-scale spin systems. Here we propose to implement an antiferromagnetic model through optoelectronic correlation computing with SPIM. Also we exploit the gauge transformation which enables encoding the spins and the interaction strengths in a single phase-only spatial light modulator. With a simple setup, we experimentally show the ground state search of an antiferromagnetic model with $40000$ spins in number-partitioning problem. Thus such an optoelectronic computing exhibits great programmability and scalability for the practical applications of studying statistical systems and combinatorial optimization problems.