Abstract

AbstractIsing machines are novel computing devices for the energy minimization of Ising models. These combinatorial optimization problems are of paramount importance for science and technology, but remain difficult to tackle on large scale by conventional electronics. Recently, various photonics-based Ising machines demonstrated fast computing of a Ising ground state by data processing through multiple temporal or spatial optical channels. Experimental noise acts as a detrimental effect in many of these devices. On the contrary, here we demonstrate that an optimal noise level enhances the performance of spatial-photonic Ising machines on frustrated spin problems. By controlling the error rate at the detection, we introduce a noisy-feedback mechanism in an Ising machine based on spatial light modulation. We investigate the device performance on systems with hundreds of individually-addressable spins with all-to-all couplings and we found an increased success probability at a specific noise level. The optimal noise amplitude depends on graph properties and size, thus indicating an additional tunable parameter helpful in exploring complex energy landscapes and in avoiding getting stuck in local minima. Our experimental results identify noise as a potentially valuable resource for optical computing. This concept, which also holds in different nanophotonic neural networks, may be crucial in developing novel hardware with optics-enabled parallel architecture for large-scale optimizations.

Highlights

  • Solving large combinatorial problems is crucial for widespread applications in fields such as artificial intelligence, cryptography, biophysics, and complex networks

  • Ising machines are novel computing devices for the energy minimization of Ising models. These combinatorial optimization problems are of paramount importance for science and technology, but remain difficult to tackle on large scale by conventional electronics

  • Here we demonstrate that an optimal noise level enhances the performance of spatial-photonic Ising machines on frustrated spin problems

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Summary

Introduction

Solving large combinatorial problems is crucial for widespread applications in fields such as artificial intelligence, cryptography, biophysics, and complex networks. Ising machines are physical platforms made of electronic or photonic elements that can be programmed to encode Ising problems with known coupling values, and the ground state obtained after the system’s relaxation provides the optimal solution. Spatial-photonic Ising machines are a different class of optical devices for Ising problems that have been demonstrated very recently [45] They make use of spatial light modulation for encoding an unprecedented number of spins [46] and the programmed Hamiltonian is optically evaluated by measuring the intensity distribution after propagation in free-space [45] or through nonlinear media [47]. Our findings demonstrate noise as a valuable resource in large-scale photonic computing

Ising machine by spatial light modulation
Experimental setup and noisy-feedback method
Optimization with spontaneous noise
Effect of the noise level on the Ising machine performance
Findings
Scaling of the optimal noise level
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