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

2021/10/03 by Ramesh, Vikram, Natarajan, Vighnesh, Prabhakar, Anil
#Emerging Technologies (cs.ET) #FOS: Computer and information sciences #FOS: Physical sciences #Optics (physics.optics)

paper · doi:10.48550/arxiv.2110.01616

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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