Quantum walk-based vehicle routing optimisation

• URL: http://arxiv.org/abs/2109.14907v1
• Date: Thu, 30 Sep 2021 08:04:58 GMT
• Title: Quantum walk-based vehicle routing optimisation
• Authors: Tavis Bennett, Edric Matwiejew, Sam Marsh and Jingbo B. Wang
• Abstract summary: This paper demonstrates the applicability of the Quantum Walk-based optimisation algorithm 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. Results of numerical simulationdemonstrate that the QWOA is capable of producing convergence to near-optimal solutions for arandomly generated 8 location CVRP.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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