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Quantum Information and Measurement (QIM)

A quantum network model for the coherent Ising machine

Tatsuhiro Onodera, Edwin Ng, Hideo Mabuchi

Published Jan 1, 2017• 0 citations
Publisher

Abstract

Networks of degenerate parametric oscillators have recently shown potential for solving optimization problems on Ising spins. We propose a quantum model for these coherent Ising machines based on the SLH framework for quantum optical networks.
DOI
10.1364/qim.2017.qw3b.2

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A degenerate optical parametric oscillator network is proposed to solve the NP-hard problem of finding a ground state of the Ising model. The underlying operating mechanism originates from the bistable output phase of each oscillator and the inherent preference of the network in selecting oscillation modes with the minimum photon decay rate. Computational experiments are performed on all instances reducible to the NP-hard MAX-CUT problems on cubic graphs of order up to 20. The numerical results reasonably suggest the effectiveness of the proposed network.
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