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Digital Emulation of Oscillator Ising Machines

Shreesha Sreedhara, Jaijeet Roychowdhury, Joachim Wabnig, Pavan Srinath

202311 citationsDOI

Abstract

Ising problem is an NP-hard combinatorial op-timization problem. Recently, networks of mutually coupled, nonlinear, self-sustaining oscillators known as Oscillator Ising Machines (OIMs) were shown to heuristically solve Ising prob-lems. The phases of the oscillators in OIMs can be modeled as systems of Ordinary Differential Equations (ODEs) known as Generalized Kuramoto (Gen-K) models. In this paper, we solve Gen-K Ode systems efficiently using cleverly designed fixed point operations. To demonstrate this idea, we fabricated a prototype chip containing 33 spins with programmable all-to-all connectivity. We test this design using Multi-Input Multi-Output decoding problems, and show that the OIM emulator achieves near-optimal Symbol Error Rates (SER).

Topics & Concepts

Ising modelEmulationOdeDecoding methodsComputer scienceOrdinary differential equationAlgorithmDifferential equationMathematicsApplied mathematicsStatistical physicsPhysicsMathematical analysisEconomicsEconomic growthNeural Networks and Reservoir ComputingNonlinear Dynamics and Pattern FormationCellular Automata and Applications
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