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arXiv · 2309.16522

Quantum hobbit routing: Annealer implementation of generalized Travelling Salesperson Problem

Iñigo Perez Delgado·Beatriz García Markaida·Aitor Moreno Fdez. de Leceta·Jon Ander Ochoa Uriarte
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Abstract

In this paper, we present an implementation of a Job Selection Problem (JSP) -- a generalization of the well-known Travelling Salesperson Problem (TSP) -- of $N=9$ jobs on its Quadratic Unconstrained Binary Optimization (QUBO) form, using $\mathcal{O}(N)$ qubits on DWave's Advantage$\_$system4.1 quantum annealing device. The best known quantum algorithm for TSP to date uses $\mathcal{O}(N^2)$ qubits. A solution is found using the quantum method. However, since hardware is not yet able to compensate the increase in search-space size, no present overall advantage is achieved when comparing the quantum results with either exhaustive or equiprobably sampled classical solutions of the problem.

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Iñigo Perez Delgado, Beatriz García Markaida, Aitor Moreno Fdez. de Leceta, Jon Ander Ochoa Uriarte. 2023-09-28. Quantum hobbit routing: Annealer implementation of generalized Travelling Salesperson Problem. https://doi.org/10.1109/ssci51031.2022.10022127

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