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Coherent Ising Machines with Error Correction Feedback

Satoshi Kako, Timothée Leleu, Yoshitaka Inui, Farad Khoyratee, Sam Reifenstein, Y. Yamamoto

2020Advanced Quantum Technologies41 citationsDOIOpen Access PDF

Abstract

Abstract A nonequilibrium open‐dissipative neural network, such as a coherent Ising machine based on mutually coupled optical parametric oscillators, has been proposed and demonstrated as a novel computing machine for hard combinatorial optimization problems. However, there is a challenge in the previously proposed approach: The machine can be trapped by local minima which increases exponentially with a problem size. This leads to erroneous solutions rather than correct answers. In this paper, it is shown that it is possible to overcome this problem partially by introducing error detection and correction feedback mechanism. The proposed machine achieves efficient sampling of degenerate ground states and low‐energy excited states via its inherent exploration property during a solution search process.

Topics & Concepts

Maxima and minimaDissipative systemIsing modelDegenerate energy levelsComputer scienceParametric statisticsArtificial neural networkDetailed balanceNon-equilibrium thermodynamicsEnergy (signal processing)Statistical physicsProcess (computing)AlgorithmPhysicsArtificial intelligenceMathematicsQuantum mechanicsMathematical analysisOperating systemStatisticsQuantum Computing Algorithms and ArchitectureNeural Networks and Reservoir ComputingQuantum Information and Cryptography
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