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Experimental quantum annealing: case study involving the graph isomorphism problem.

Kenneth M Zick1, Omar Shehab2, Matthew French1

  • 1University of Southern California Information Sciences Institute (USC ISI), Arlington, Virginia, USA.

Scientific Reports
|June 9, 2015
PubMed
Summary
This summary is machine-generated.

This study explores quantum annealing for optimization problems using a D-Wave machine. Hybrid classical-quantum approaches improved graph isomorphism problem-solving, demonstrating advantages over baseline methods.

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Area of Science:

  • Quantum Computing
  • Combinatorial Optimization
  • Computational Complexity

Background:

  • Quantum annealing leverages quantum mechanics for optimization.
  • Real-world solvers need integrated classical and quantum processing.
  • Optimizing hybrid solver components is an open research area.

Purpose of the Study:

  • Investigate quantum annealing performance on the graph isomorphism problem.
  • Evaluate the impact of classical pre- and post-processing on solver efficiency.
  • Analyze factors influencing real-world quantum annealing solver effectiveness.

Main Methods:

  • Utilized a 504-qubit D-Wave Two quantum annealer.
  • Employed a compact Hamiltonian for reduced Ising models.
  • Applied classical post-processing for error correction (majority voting).

Main Results:

  • Reduced median variables from N(2) to < N log2 N for random graphs.
  • Increased solvable graph sizes from N=5 to N=13.
  • Achieved correct classification for all mapped graph isomorphism problems.

Conclusions:

  • Hybrid classical-quantum solvers show promise for complex optimization.
  • Classical pre-processing significantly enhances quantum annealing efficiency.
  • Further research is needed to optimize hybrid solver components for practical applications.