Antiferromagnetic spatial photonic Ising machine through optoelectronic correlation computing

Abstract

Recently, spatial photonic Ising machines (SPIM) have been demonstrated to compute the minima of Hamiltonians for large-scale spin systems. Here we propose to implement an antiferromagnetic model through optoelectronic correlation computing with SPIM. Also we exploit the gauge transformation which enables encoding the spins and the interaction strengths in a single phase-only spatial light modulator. With a simple setup, we experimentally show the ground state search of an antiferromagnetic model with $40000$ spins in number-partitioning problem. Thus such an optoelectronic computing exhibits great programmability and scalability for the practical applications of studying statistical systems and combinatorial optimization problems.

arXiv comment7 pages, 4 figures

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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
• Tuneable spin-glass optical simulator based on multiple light scattering
• 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
• Programmable 200 GOPS Hopfield-inspired photonic Ising machine
• An optical Ising spin glass simulator with tuneable short range couplings
• Spin Hamiltonians in the Modulated Momenta of Light
• Spatial Optical Simulator for Classical Statistical Models
• Atom Cavity Encoding for NP-Complete Problems