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Quantum annealing of the Traveling Salesman Problem

Roman Martonak·Giuseppe E. Santoro·Erio Tosatti
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Abstract

We propose a path-integral Monte Carlo quantum annealing scheme for the symmetric Traveling Salesman Problem, based on a highly constrained Ising-like representation, and we compare its performance against standard thermal Simulated Annealing. The Monte Carlo moves implemented are standard, and consist in restructuring a tour by exchanging two links (2-opt moves). The quantum annealing scheme, even with a drastically simple form of kinetic energy, appears definitely superior to the classical one, when tested on a 1002 city instance of the standard TSPLIB.

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Roman Martonak, Giuseppe E. Santoro, Erio Tosatti. 2004-02-12. Quantum annealing of the Traveling Salesman Problem. https://doi.org/10.1103/physreve.70.057701

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