The travelling salesman problem and adiabatic quantum computation: an algorithm
An explicit algorithm for the travelling salesman problem is constructed in the framework of adiabatic quantum computation, AQC. The initial Hamiltonian for the AQC process admits canonical coherent states as the ground state, and the target Hamiltonian has the shortest tour as the desirable ground...
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| Vydáno v: | Quantum information processing Ročník 18; číslo 3; s. 1 - 19 |
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| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
New York
Springer US
01.03.2019
Springer Nature B.V |
| Témata: | |
| ISSN: | 1570-0755, 1573-1332 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | An explicit algorithm for the travelling salesman problem is constructed in the framework of adiabatic quantum computation, AQC. The initial Hamiltonian for the AQC process admits canonical coherent states as the ground state, and the target Hamiltonian has the shortest tour as the desirable ground state. Some estimates/bounds are also given for the computational complexity of the algorithm with particular emphasis on the required energy resources, besides the space and time complexity, for the physical process of (quantum) computation in general. |
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| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1570-0755 1573-1332 |
| DOI: | 10.1007/s11128-019-2206-9 |