MURAL - Maynooth University Research Archive Library

    Compatibility of braiding and fusion on wire networks

    Conlon, Aaron and Slingerland, J. K. (2023) Compatibility of braiding and fusion on wire networks. Physical Review B, 108 (3). ISSN 1098-0121

    Download (504kB) | Preview
    Official URL:

    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...

    Add this article to your Mendeley library


    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:
    Depositing User: IR Editor
    Date Deposited: 10 Nov 2023 11:51
    Journal or Publication Title: Physical Review B
    Publisher: American Physical Society
    Refereed: Yes
    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

    Repository Staff Only(login required)

    View Item Item control page


    Downloads per month over past year

    Origin of downloads