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Observing a Phase Transition in a Coherent Ising Machine

Hiroki Takesue1,*,‡, Yasuhiro Yamada1,†,‡, Kensuke Inaba1, Takuya Ikuta1, Yuya Yonezu1, Takahiro Inagaki1, Toshimori Honjo1, Takushi Kazama2, Koji Enbutsu2 et al.

Takeshi Umeki2 and Ryoichi Kasahara2

  • 1NTT Basic Research Laboratories, NTT Corporation, 3-1 Morinosato Wakamiya, Atsugi, Kanagawa 243-0198, Japan
  • 2NTT Device Technology Laboratories, NTT Corporation, 3-1 Morinosato Wakamiya, Atsugi, Kanagawa 243-0198, Japan

  • *hiroki.takesue@ntt.com
  • †yshr.yamada@ntt.com
  • ‡H. Takesue and Y. Yamada contributed equally to this work.

Phys. Rev. Applied 19, L031001 – Published 1 March, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.19.L031001

Abstract

The coherent Ising machine (CIM) is known to provide the low-energy states of the Ising model. Here, we investigate how well the CIM simulates the thermodynamic properties of a two-dimensional square-lattice Ising model. Assuming that the spin sets sampled by the CIM can be regarded as a canonical ensemble, we estimate the effective temperature of spins represented by degenerate optical parametric oscillator pulses by using maximum likelihood estimation. With the temperature obtained, we confirm that the thermodynamic quantities obtained with the CIM exhibit phase-transition-like behavior that matches the analytical and numerical results better than the mean field approximation does.

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