A Coherent Ising Machine for MAX-CUT Problems: Performance Evaluation against Semidefinite Programming and Simulated Annealing

  • Yoshitaka Haribara
  • Shoko Utsunomiya
  • Yoshihisa Yamamoto
Part of the Lecture Notes in Physics book series (LNP, volume 911)


An optical parametric oscillator network driven by a quantum measurement-feedback circuit, composed of optical homodyne detectors, analog-to-digital conversion devices and field programmable gate arrays (FPGA), is proposed and analysed as a scalable coherent Ising machine. The new scheme has an advantage that a large number of optical coupling paths, which is proportional to the square of a problem size in the worst case, can be replaced by a single quantum measurement-feedback circuit. There is additional advantage in the new scheme that a three body or higher order Ising interaction can be implemented in the FPGA digital circuit. Noise associated with the measurement-feedback process is governed by the standard quantum limit. Numerical simulation based on c-number coupled Langevin equations demonstrate a satisfying performance of the proposed Ising machine against the NP-hard MAX-CUT problems.


Combinatorial optimization problem MAX-CUT Degenerate optical parametric oscillator Laser network Ising machine 


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Copyright information

© Springer Japan 2016

Authors and Affiliations

  • Yoshitaka Haribara
    • 1
  • Shoko Utsunomiya
    • 1
  • Yoshihisa Yamamoto
    • 2
  1. 1.National Institute of InformaticsTokyoJapan
  2. 2.ImPACT ProgramCouncil for Science Technology and InnovationTokyoJapan

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