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Conlon, Aaron and Slingerland, J. K. (2023) Compatibility of braiding and fusion on wire networks. Physical Review B, 108 (3). ISSN 1098-0121
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Official URL: https://doi.org/10.1103/PhysRevB.108.035150
Abstract
Exchanging particles on graphs, or more concretely on networks of quantum wires, has been proposed
as a means to perform fault tolerant quantum computation. This was inspired by braiding of anyons
in planar systems. However, exchanges on a graph are not governed by the usual braid group
but instead by a graph braid group. By imposing compatibility of graph braiding with fusion of
topological charges, we obtain generalized hexagon equations. We find the usual planar anyons
solutions but also more general braid actions. We illustrate this with Abelian, Fibonacci and Ising
fusion rules.
| Item Type: | Article |
|---|---|
| Keywords: | graph braid group; anyons; topological quantum computation; braid group; |
| Academic Unit: | Faculty of Science and Engineering > Theoretical Physics |
| Item ID: | 17814 |
| Identification Number: | 10.1103/PhysRevB.108.035150 |
| Depositing User: | IR Editor |
| Date Deposited: | 10 Nov 2023 11:51 |
| Journal or Publication Title: | Physical Review B |
| Publisher: | American Physical Society |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/17814 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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