Investigating the Chinese postman problem on a quantum annealer
Abstract
The recent availability of quantum annealers has fueled a new area of information technology where such devices are applied to address practically motivated and computationally difficult problems with hardware that exploits quantum mechanical phenomena. D-Wave annealers are promising platforms to solve these problems in the form of quadratic unconstrained binary optimization. Here we provide a formulation of the Chinese postman problem that can be used as a tool for probing the local connectivity of graphs and networks. We treat the problem classically with a tabu algorithm and simulated annealing, and using a D-Wave device. The efficiency of quantum annealing with respect to the simulated annealing has been demonstrated using the optimal time to solution metric. We systematically analyze computational parameters associated with the specific hardware. Our results clarify how the interplay between the embedding due to limited connectivity of the Chimera graph, the definition of logical qubits, and the role of spin-reversal controls the probability of reaching the expected solution
- Authors:
-
[1];
[2];
[1];
[2];
[1]
- Univ. of Southern California, Los Angeles, CA (United States)
- Central Michigan Univ., Mount Pleasant, MI (United States)
- Publication Date:
- Research Org.:
- Univ. of Southern California, Los Angeles, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1777849
- Alternate Identifier(s):
- OSTI ID: 1777844
- Grant/Contract Number:
- SC0019432
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Quantum Machine Intelligence
- Additional Journal Information:
- Journal Volume: 3; Journal Issue: 1; Journal ID: ISSN 2524-4906
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; quantum annealing; graph problems; D-wave; QUBO; routing problems; quantum annealing, graph problems
Citation Formats
Siloi, Ilaria, Carnevali, Virginia, Pokharel, Bibek, Fornari, Marco, and Di Felice, Rosa. Investigating the Chinese postman problem on a quantum annealer. United States: N. p., 2021.
Web. doi:10.1007/s42484-020-00031-9.
Siloi, Ilaria, Carnevali, Virginia, Pokharel, Bibek, Fornari, Marco, & Di Felice, Rosa. Investigating the Chinese postman problem on a quantum annealer. United States. https://doi.org/10.1007/s42484-020-00031-9
Siloi, Ilaria, Carnevali, Virginia, Pokharel, Bibek, Fornari, Marco, and Di Felice, Rosa. Fri .
"Investigating the Chinese postman problem on a quantum annealer". United States. https://doi.org/10.1007/s42484-020-00031-9. https://www.osti.gov/servlets/purl/1777849.
@article{osti_1777849,
title = {Investigating the Chinese postman problem on a quantum annealer},
author = {Siloi, Ilaria and Carnevali, Virginia and Pokharel, Bibek and Fornari, Marco and Di Felice, Rosa},
abstractNote = {The recent availability of quantum annealers has fueled a new area of information technology where such devices are applied to address practically motivated and computationally difficult problems with hardware that exploits quantum mechanical phenomena. D-Wave annealers are promising platforms to solve these problems in the form of quadratic unconstrained binary optimization. Here we provide a formulation of the Chinese postman problem that can be used as a tool for probing the local connectivity of graphs and networks. We treat the problem classically with a tabu algorithm and simulated annealing, and using a D-Wave device. The efficiency of quantum annealing with respect to the simulated annealing has been demonstrated using the optimal time to solution metric. We systematically analyze computational parameters associated with the specific hardware. Our results clarify how the interplay between the embedding due to limited connectivity of the Chimera graph, the definition of logical qubits, and the role of spin-reversal controls the probability of reaching the expected solution},
doi = {10.1007/s42484-020-00031-9},
journal = {Quantum Machine Intelligence},
number = 1,
volume = 3,
place = {United States},
year = {Fri Jan 08 00:00:00 EST 2021},
month = {Fri Jan 08 00:00:00 EST 2021}
}
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