Quantum-Enhanced Selection Operators for Evolutionary Algorithms

• URL: http://arxiv.org/abs/2206.10743v1
• Date: Tue, 21 Jun 2022 21:36:39 GMT
• Title: Quantum-Enhanced Selection Operators for Evolutionary Algorithms
• Authors: David Von Dollen, Sheir Yarkoni, Daniel Weimer, Florian Neukart, Thomas B\"ack
• Abstract summary: We study results obtained from using quantum-enhanced operators within the selection mechanism of a genetic algorithm. We benchmark these quantum-enhanced algorithms against classical algorithms.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Genetic algorithms have unique properties which are useful when applied to black box optimization. Using selection, crossover, and mutation operators, candidate solutions may be obtained without the need to calculate a gradient. In this work, we study results obtained from using quantum-enhanced operators within the selection mechanism of a genetic algorithm. Our approach frames the selection process as a minimization of a binary quadratic model with which we encode fitness and distance between members of a population, and we leverage a quantum annealing system to sample low energy solutions for the selection mechanism. We benchmark these quantum-enhanced algorithms against classical algorithms over various black-box objective functions, including the OneMax function, and functions from the IOHProfiler library for black-box optimization. We observe a performance gain in average number of generations to convergence for the quantum-enhanced elitist selection operator in comparison to classical on the OneMax function. We also find that the quantum-enhanced selection operator with non-elitist selection outperform benchmarks on functions with fitness perturbation from the IOHProfiler library. Additionally, we find that in the case of elitist selection, the quantum-enhanced operators outperform classical benchmarks on functions with varying degrees of dummy variables and neutrality.

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