The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Topological Order with a Twist: Ising Anyons from an Abelian Model
Open accessAbstract
Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry. We study the realization of such defects in the toric code model, showing that a process where defects are braided and fused has the same outcome as if they were Ising anyons. These ideas can also be applied in the context of topological codes.
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Citations
Cites
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Fractional Statistics and Anyon Superconductivity
Wilczek, F. (1990) · Series on Directions in Condensed Matter Physics · doi:10.1142/0961 · Cited by 1,070
Topological Quantum Distillation
Bombin, H., & Martin-Delgado, M. A. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.180501 · Cited by 700
Quantum Orders in an Exact Soluble Model
Wen, X.-G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.016803 · Cited by 422
Cited by
Quantum error correction for quantum memories
Terhal, B. M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.307 · Cited by 1,354
Roads towards fault-tolerant universal quantum computation
Campbell, E. T., Terhal, B. M., & Vuillot, C. (2017) · Nature · doi:10.1038/nature23460 · Cited by 596
Surface code quantum computing by lattice surgery
Horsman, D., Fowler, A. G., Devitt, S., & Meter, R. V. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/12/123011 · Cited by 598
“A third method involves introducing ‘twists’ to the lattice [24].”
MethodSymmetry fractionalization, defects, and gauging of topological phases
Barkeshli, M., Bonderson, P., Cheng, M., & Wang, Z. (2019) · Physical Review B · doi:10.1103/physrevb.100.115147 · Cited by 533
A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
Litinski, D. (2019) · Quantum · doi:10.22331/q-2019-03-05-128 · Cited by 408
Metadata
- Authors
- Bombin, H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-07-14
- Volume
- 105
- Issue
- 3
- Pages
- 030403-030403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1979591111
- Cited by
- 369
- References
- 4
- FWCI
- 5.17
- Type
- journal article
- Language
- en
- Open access
- green
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- Bombin, H. (2010). Topological Order with a Twist: Ising Anyons from an Abelian Model. Physical Review Letters. https://doi.org/10.1103/physrevlett.105.030403
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
