Quantum annealing of the traveling-salesman problem - INSPIRE

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Quantum annealing of the traveling-salesman problem

Roman Martoňák
(
- U. Svizzera Italiana, Lugano
)
,
Giuseppe E. Santoro
(
- SISSA, Trieste and
- ICTP, Trieste
)
,
Erio Tosatti
(
- SISSA, Trieste and
- ICTP, Trieste
)

Nov 10, 2004

4 pages

Published in:

Phys.Rev.E 70 (2004) 5, 057701

Published: Nov 10, 2004

DOI:

10.1103/PhysRevE.70.057701

reference search54 citations

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Abstract: (APS)

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 (two-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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References(23)

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