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arXiv · 2109.14907

Quantum walk-based vehicle routing optimisation

Tavis Bennett·Edric Matwiejew·Sam Marsh·Jingbo B. Wang
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Abstract

This paper demonstrates the applicability of the Quantum Walk-based Optimisation Algorithm(QWOA) to the Capacitated Vehicle Routing Problem (CVRP). Efficient algorithms are developedfor the indexing and unindexing of the solution space and for implementing the required alternatingphase-walk unitaries, which are the core components of QWOA. Results of numerical simulationdemonstrate that the QWOA is capable of producing convergence to near-optimal solutions for arandomly generated 8 location CVRP. Preparation of the amplified quantum state in this exampleproblem is demonstrated to produce high-quality solutions, which are more optimal than expectedfrom classical random sampling of equivalent computational effort.

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Tavis Bennett, Edric Matwiejew, Sam Marsh, Jingbo B. Wang. 2021-09-30. Quantum walk-based vehicle routing optimisation. https://arxiv.org/abs/2109.14907

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