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Brell, Courtney G.: Generalized cluster states based on finite groups. In: New Journal of Physics 17 (2015), 23029. DOI: http://dx.doi.org/10.1088/1367-2630/17/2/023029
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Sum total of downloads: 195
| Abstract: | |
We define generalized cluster states based on finite group algebras in analogy to the generalization of the toric code to the Kitaev quantum double models. We do this by showing a general correspondence between systems with CSS structure and finite group algebras, and applying this to the cluster states to derive their generalization. We then investigate properties of these states including their projected entangled pair state representations, global symmetries, and relationship to the Kitaev quantum double models. We also discuss possible applications of these states. | |
| License of this version: | CC BY 3.0 Unported |
| Document Type: | Article |
| Publishing status: | publishedVersion |
| Issue Date: | 2015-02-10 |
| Appears in Collections: | Fakultät für Mathematik und Physik |
distribution of downloads over the selected time period:
downloads by country:
| pos. | country | downloads | ||
|---|---|---|---|---|
| total | perc. | |||
| 1 |  |
Germany | 151 | 77.44% |
| 2 |  |
United States | 18 | 9.23% |
| 3 |  |
China | 8 | 4.10% |
| 4 |  |
No geo information available | 4 | 2.05% |
| 5 |  |
France | 4 | 2.05% |
| 6 |  |
Taiwan | 1 | 0.51% |
| 7 |  |
Poland | 1 | 0.51% |
| 8 |  |
Indonesia | 1 | 0.51% |
| 9 |  |
Hungary | 1 | 0.51% |
| 10 |  |
Greece | 1 | 0.51% |
| other countries | 5 | 2.56% | ||
Further download figures and rankings:
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