A spatial-photonic Ising machine to solve the two-way number-partitioning problem
Emerging Technologies
2021-10-06 v1 Optics
Abstract
We evaluate the performance of different algorithms in minimizing the Hamiltonian of a spatial-photonic Ising machine (SPIM). We then encode the number-partitioning problem on the SPIM and adiabatically arrive at good solutions for the problem for over 16000 spins, with a time complexity that only scales linearly with problem size. Finally, we benchmark our machine performance against the classical solver, Gurobi, and also a D-Wave 5000+ quantum annealer. With just one spatial light modulator, and and adiabatic evolution scheme for the phase, our results surpass current state-of-the-art SPIMs. We reduce hardware costs, and can solve larger problems more efficiently.
Cite
@article{arxiv.2110.01616,
title = {A spatial-photonic Ising machine to solve the two-way number-partitioning problem},
author = {Vikram Ramesh and Vighnesh Natarajan and Anil Prabhakar},
journal= {arXiv preprint arXiv:2110.01616},
year = {2021}
}