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Sequential spin-logic algorithmics for Ising machines.

Laura Michel1, Marco Rogier1, Frédéric Lechenault1

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Summary

This study introduces a new method for Ising machines to solve sequential algorithms by mapping them to Ising problems with linear coupling decay. This overcomes previous scalability issues, enabling efficient hardware solutions for complex computations.

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Area of Science:

  • Quantum Computing
  • Computational Physics
  • Algorithmics

Background:

  • Ising machines offer a promising hardware approach for solving complex problems by mapping solutions to the ground state of Ising spin glasses.
  • Traditional methods face the 'hierarchy problem,' where couplings exponentially decrease, limiting scalability for sequential algorithms.

Purpose of the Study:

  • To develop a novel method for mapping sequential algorithms onto Ising problems.
  • To address the limitations of existing approaches and enable scalable Ising machine computation for sequential tasks.

Main Methods:

  • A new mapping technique is presented that transforms sequential algorithms into Ising problems.
  • This method ensures only a linear decay of couplings along the causal direction, unlike the exponential decay in previous methods.
  • The approach is demonstrated using n-bit binary number adders as a case study.

Main Results:

  • The proposed method successfully maps sequential algorithms to Ising problems with linearly decaying couplings.
  • This overcomes the hierarchy problem, allowing for scalable solutions.
  • Demonstration with binary adders confirms the method's efficacy.

Conclusions:

  • The developed method provides a scalable pathway for Ising machines to efficiently execute sequential algorithms.
  • This research opens new possibilities for the practical application of Ising machines in computing.