Analog Coupled Oscillator Based Weighted Ising Machine

Abstract

We report on an analog computing system with coupled non-linear oscillators which is capable of solving complex combinatorial optimization problems using the weighted Ising model. The circuit is composed of a fully-connected 4-node LC oscillator network with low-cost electronic components and compatible with traditional integrated circuit technologies. We present the theoretical modeling, experimental characterization, and statistical analysis our system, demonstrating single-run ground state accuracies of 98% on randomized MAX-CUT problem sets with binary weights and 84% with 5-bit weight resolutions. Solutions are obtained within 5 oscillator cycles, and the time-to-solution has been demonstrated to scale directly with oscillator frequency. We present scaling analysis which suggests that large coupled oscillator networks may be used to solve computationally intensive problems faster and more efficiently than conventional algorithms. The proof-of-concept system presented here provides the foundation for realizing such larger scale systems using existing hardware technologies and could pave the way towards an entirely novel computing paradigm.

15 pages

References in corpus (10)

• Ising formulations of many NP problems
• Stochastic p-bits for Invertible Logic
• Memcomputing: a computing paradigm to store and process information on the same physical platform
• Quantum annealing with a network of all-to-all connected, two-photon driven Kerr nonlinear oscillators
• Destabilization of local minima in analog spin systems by correction of amplitude heterogeneity
• Robust quantum optimizer with full connectivity
• A coherent Ising machine for MAX-CUT problems : Performance evaluation against semidefinite programming relaxation and simulated annealing
• Emulating the coherent Ising machine with a mean-field algorithm
• Harnessing Intrinsic Noise in Memristor Hopfield Neural Networks for Combinatorial Optimization
• Late Breaking Results: New Computational Results and Hardware Prototypes for Oscillator-based Ising Machines

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• Noise-enhanced spatial-photonic Ising machine
• Spintronics-compatible approach to solving maximum satisfiability problems with probabilistic computing, invertible logic and parallel tempering