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Parallel quantum annealing.

Elijah Pelofske1, Georg Hahn2, Hristo N Djidjev3,4

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Parallel quantum annealing improves efficiency by solving multiple NP-hard problems simultaneously on quantum annealers. This novel method significantly reduces the Time-To-Solution (TTS) for problems like Maximum Clique, making better use of available qubits.

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Area of Science:

  • Quantum Computing
  • Computational Complexity

Background:

  • Quantum annealers offer efficient solutions for NP-hard problems by mapping them to physical qubits.
  • Limited qubit connectivity necessitates minor embedding, often leaving qubits unused, especially for smaller problems.

Purpose of the Study:

  • To introduce parallel quantum annealing for enhanced qubit utilization.
  • To evaluate the impact of parallel quantum annealing on the Time-To-Solution (TTS) for NP-hard problems.

Main Methods:

  • Proposed a novel parallel quantum annealing method to solve multiple problems in a single annealing cycle.
  • Applied the method to instances of the Maximum Clique problem on D-Wave quantum annealers.

Main Results:

  • Parallel quantum annealing demonstrated dramatic speed-ups in TTS compared to sequential solving.
  • Solving a single Maximum Clique problem with parallel quantum annealing significantly reduced TTS.
  • Individual solution quality may slightly decrease when solving multiple problems concurrently.

Conclusions:

  • Parallel quantum annealing is an effective strategy for improving the efficiency of quantum annealers.
  • This method enhances qubit utilization and significantly reduces the Time-To-Solution for specific NP-hard problems.