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arXiv · 2110.01616

A spatial-photonic Ising machine to solve the two-way number-partitioning problem

Vikram Ramesh·Vighnesh Natarajan·Anil Prabhakar
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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.

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Vikram Ramesh, Vighnesh Natarajan, Anil Prabhakar. 2021-10-03. A spatial-photonic Ising machine to solve the two-way number-partitioning problem. https://arxiv.org/abs/2110.01616

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