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Improvement of Quantum Approximate Optimization Algorithm for Max-Cut Problems.

Javier Villalba-Diez1,2, Ana González-Marcos3, Joaquín B Ordieres-Meré4

  • 1Hochschule Heilbronn, Fakultät Management und Vertrieb, Campus Schwäbisch Hall, 74523 Schwäbisch Hall, Germany.

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This study optimizes network partitioning to maximize interconnections, enhancing system resilience. We improve the quantum approximate optimization algorithm (QAOA) for efficient Max-Cut problem solutions.

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Industry 4.0optimizationquantum approximate optimization algorithmvalue–stream networks

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Area of Science:

  • Network science
  • Quantum computing
  • Optimization algorithms

Background:

  • Value stream networks are critical in systems like communication networks and industrial applications.
  • Network topology significantly impacts system resilience.
  • Existing Max-Cut algorithms, including those in quantum approximate optimization, have room for improvement.

Purpose of the Study:

  • To determine the optimal partitioning of value stream networks into two classes.
  • To maximize the number of connections between these two partitions.
  • To enhance the efficiency of the Max-Cut algorithm within the quantum approximate optimization approach (QAOA).

Main Methods:

  • Investigating network partitioning strategies.
  • Applying and refining the quantum approximate optimization algorithm (QAOA).
  • Analyzing Max-Cut algorithm performance for network optimization.

Main Results:

  • Identified optimal partitioning methods for value stream networks.
  • Achieved a more efficient implementation of the Max-Cut algorithm using QAOA.
  • Demonstrated potential for improved network resilience through optimized partitioning.

Conclusions:

  • Optimal network partitioning is key to maximizing interconnections and enhancing resilience.
  • The refined QAOA approach offers a more efficient solution for the Max-Cut problem.
  • Further research can explore advanced applications and variations of this optimization technique.