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Efficient optimization with higher-order ising machines.

Connor Bybee1, Denis Kleyko2,3, Dmitri E Nikonov4

  • 1Redwood Center for Theoretical Neuroscience, University of California, Berkeley, CA, USA. bybee@berkeley.edu.

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Summary
This summary is machine-generated.

Higher-order Ising machines offer a more resource-efficient solution for satisfiability problems compared to traditional second-order Ising machines. These advanced machines rapidly find superior solutions, enhancing the state-of-the-art for parallel hardware optimization.

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Area of Science:

  • Computational physics
  • Quantum computing
  • Combinatorial optimization

Background:

  • Ising machines are prominent for solving combinatorial optimization problems on parallel hardware.
  • Most Ising machines use second-order interactions, but higher-order interactions are better suited for problems like satisfiability.
  • Existing second-order Ising machines face limitations with certain optimization problem classes.

Purpose of the Study:

  • To demonstrate the resource efficiency of higher-order Ising machines for satisfiability problems.
  • To compare the performance of higher-order Ising machines against traditional second-order Ising machines.
  • To advance the capabilities of Ising machines for complex computational tasks.

Main Methods:

  • Implementing higher-order Ising machines using coupled oscillators.
  • Testing performance on a benchmark dataset of Boolean k-satisfiability problems.
  • Comparing resource utilization (spin variables, connections) and solution quality.

Main Results:

  • Higher-order Ising machines solve satisfiability problems more resource-efficiently than second-order machines.
  • The coupled oscillator implementation of higher-order Ising machines rapidly finds better solutions.
  • This approach improves the current state-of-the-art for Ising machine performance.

Conclusions:

  • Higher-order Ising machines represent a significant advancement for solving specific optimization problems.
  • Coupled oscillator implementations offer a promising pathway for efficient and high-performance Ising machines.
  • This work enhances the applicability of Ising machines to a broader range of computational challenges.