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Quantum annealing of the Traveling Salesman Problem | | Roman Martonak
; Giuseppe E. Santoro
; Erio Tosatti
; | | Date: |
12 Feb 2004 | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn quant-ph | | Affiliation: | 2,3), Erio Tosatti (2,3) ( Dept. of Chemistry and Applied Biosciences, ETH Zuerich, Lugano, CH, SISSA and INFM-Democritos, Trieste, Italy, ICTP, Trieste, Italy | | 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. | | Source: | arXiv, cond-mat/0402330 | | Services: | Forum | Review | PDF | Favorites | |
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