Quadrature Photonic Spatial Ising Machine

Abstract

The mining in physics and biology for accelerating the hardcore algorithm to solve non-deterministic polynomial (NP) hard problems has inspired a great amount of special-purpose ma-chine models. Ising machine has become an efficient solver for various combinatorial optimizationproblems. As a computing accelerator, large-scale photonic spatial Ising machine have great advan-tages and potentials due to excellent scalability and compact system. However, current fundamentallimitation of photonic spatial Ising machine is the configuration flexibility of problem implementationin the accelerator model. Arbitrary spin interactions is highly desired for solving various NP hardproblems. Moreover, the absence of external magnetic field in the proposed photonic Ising machinewill further narrow the freedom to map the optimization applications. In this paper, we propose anovel quadrature photonic spatial Ising machine to break through the limitation of photonic Isingaccelerator by synchronous phase manipulation in two and three sections. Max-cut problem solutionwith graph order of 100 and density from 0.5 to 1 is experimentally demonstrated after almost 100iterations. We derive and verify using simulation the solution for Max-cut problem with more than1600 nodes and the system tolerance for light misalignment. Moreover, vertex cover problem, modeled as an Ising model with external magnetic field, has been successfully implemented to achievethe optimal solution. Our work suggests flexible problem solution by large-scale photonic spatialIsing machine.

8 pages, 7 figures

References in corpus (4)

• Quantum computational advantage using photons
• Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
• Large-scale photonic Ising machine by spatial light modulation
• Noise-enhanced spatial-photonic Ising machine

Cited by in corpus (10)

• Low-rank combinatorial optimization and statistical learning by spatial photonic Ising machine
• Wavelength-division multiplexing optical Ising simulator enabling fully programmable spin couplings and external magnetic fields
• Observation of Distinct Phase Transitions in a Nonlinear Optical Ising Machine
• Spatial-photonic Ising machine by space-division multiplexing with physically tunable coefficients of a multi-component model
• Combinatorial optimization solving by coherent Ising machines based on spiking neural networks
• 20736-node Weighted Max-Cut Problem Solving by Quadrature Photonic Spatial Ising Machine
• General Oscillator-Based Ising Machine Models with Phase-Amplitude Dynamics and Polynomial Interactions
• An optical Ising spin glass simulator with tuneable short range couplings
• Atom Cavity Encoding for NP-Complete Problems
• Spatial Optical Simulator for Classical Statistical Models