Accelerating ground state search of spatial photonic Ising machines with genetic-simulated annealing hybrid algorithm

Fuente: arXiv
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Main Authors: Zheng, Ze, Ni, Ruhui, Zhao, Jingyi, Hu, Xiaojian, Jiang, Wen, Li, Yuegang, Xu, Hang, Xiao, Tailong, Zeng, Guihua
Format: Preprint
Published: 2026
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author Zheng, Ze
Ni, Ruhui
Zhao, Jingyi
Hu, Xiaojian
Jiang, Wen
Li, Yuegang
Xu, Hang
Xiao, Tailong
Zeng, Guihua
author_facet Zheng, Ze
Ni, Ruhui
Zhao, Jingyi
Hu, Xiaojian
Jiang, Wen
Li, Yuegang
Xu, Hang
Xiao, Tailong
Zeng, Guihua
contents Spatial photonic Ising machines (SPIMs) based on spatial light modulators (SLMs) have emerged as highly effective solvers for many tasks, including combinatorial optimization problems and spin-glass simulations. However, traditional SPIMs relying solely on the simulated annealing algorithm require a large number of measurement-feedback iterations to find a relatively optimal solution in complex energy landscapes, suffering from slow convergence and high time cost. Here, we propose an optical genetic-simulated annealing hybrid algorithm to accelerate the ground-state search of SPIMs. GA conducts a global coarse-grained search in the early iteration stage, while SA performs fine-grained local refinement in the late stage. Numerical simulations show that our method enables a higher solution quality of full-rank Max-Cut problems than pure GA or SA at different scales. We also experimentally demonstrate its superiority over conventional algorithms on a gauge-transformation time-division multiplexing SPIM for high-rank optimization problems under the same iteration budget. Our approach can be further developed with other advanced metaheuristic algorithms toward intelligent optical Ising computing systems.
format Preprint
id arxiv_https___arxiv_org_abs_2605_23295
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Accelerating ground state search of spatial photonic Ising machines with genetic-simulated annealing hybrid algorithm
Zheng, Ze
Ni, Ruhui
Zhao, Jingyi
Hu, Xiaojian
Jiang, Wen
Li, Yuegang
Xu, Hang
Xiao, Tailong
Zeng, Guihua
Optics
Machine Learning
Applied Physics
Spatial photonic Ising machines (SPIMs) based on spatial light modulators (SLMs) have emerged as highly effective solvers for many tasks, including combinatorial optimization problems and spin-glass simulations. However, traditional SPIMs relying solely on the simulated annealing algorithm require a large number of measurement-feedback iterations to find a relatively optimal solution in complex energy landscapes, suffering from slow convergence and high time cost. Here, we propose an optical genetic-simulated annealing hybrid algorithm to accelerate the ground-state search of SPIMs. GA conducts a global coarse-grained search in the early iteration stage, while SA performs fine-grained local refinement in the late stage. Numerical simulations show that our method enables a higher solution quality of full-rank Max-Cut problems than pure GA or SA at different scales. We also experimentally demonstrate its superiority over conventional algorithms on a gauge-transformation time-division multiplexing SPIM for high-rank optimization problems under the same iteration budget. Our approach can be further developed with other advanced metaheuristic algorithms toward intelligent optical Ising computing systems.
title Accelerating ground state search of spatial photonic Ising machines with genetic-simulated annealing hybrid algorithm
topic Optics
Machine Learning
Applied Physics
url https://arxiv.org/abs/2605.23295