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Lecture notes in computer science

Comparing Integer Encodings in QUBO for Quantum and Digital Annealing: The Travelling Salesman Problem

Philippe Codognet

Published Jan 1, 2024• 0 citations
Publisher
DOI
10.1007/978-3-031-62912-9_25

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The traveling salesman problem is a well-known NP-hard problem in combinatorial optimization. This paper shows how to solve it on an Ising Hamiltonian based quantum annealer by casting it as a quadratic unconstrained binary optimization (QUBO) problem. Results of practical experiments are also presented using D-Wave’s 5,000 qubit Advantage 1.1 quantum annealer and the performance is compared to a classical solver. It is found the quantum annealer can only handle a problem size of 8 or less nodes and its performance is subpar compared to the classical solver both in terms of time and accuracy.