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Accelerating a coherent Ising machine by XY-Ising spin transition.

Kyungduk Kim1, Yoshihisa Yamamoto2,3

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Summary
This summary is machine-generated.

Introducing XY-spin dynamics in coherent Ising machines (CIMs) using phase-insensitive gain significantly speeds up problem-solving. This approach allows spins to flip, escaping local minima and reducing computation time by tenfold for complex optimization tasks.

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Area of Science:

  • Quantum computing
  • Optical physics
  • Computational complexity

Background:

  • Conventional coherent Ising machines (CIMs) utilize phase-sensitive gain, limiting spin states to discrete Ising values.
  • This limitation can trap CIMs in local minima, hindering efficient problem-solving.

Purpose of the Study:

  • To numerically demonstrate that incorporating XY-spin dynamics enhances CIM performance.
  • To explore the benefits of phase-insensitive optical parametric gain for enabling continuous-phase XY spins.

Main Methods:

  • Numerical simulations of CIMs incorporating phase-insensitive optical parametric gain.
  • Benchmarking performance on Wishart-planted problem instances.
  • Analyzing the impact of transitioning between XY and Ising spin dynamics.

Main Results:

  • Phase-insensitive gain enables continuous-phase XY spins, facilitating spin flips and escape from local minima.
  • Gradual transitions from XY to Ising dynamics reduced time-to-solution by approximately an order of magnitude.
  • Tailored transitions between XY-like and Ising-like regimes offered further performance improvements.

Conclusions:

  • A novel framework for engineering CIM dynamics across full phase-quadrature space is established.
  • The findings suggest potential for fully optical architectures in efficient combinatorial optimization.
  • XY-spin dynamics offer a significant advantage over purely Ising dynamics for solving complex problems.