The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
On Classification of Modular Tensor Categories
Open accessAbstract
We classify all unitary modular tensor categories (UMTCs) of rank ≤ 4. There are a total of 35 UMTCs of rank ≤ 4 up to ribbon tensor equivalence. Since the distinction between the modular S -matrix S and − S has both topological and physical significance, so in our convention there are a total of 70 UMTCs of rank ≤ 4. In particular, there are two trivial UMTCs with S = (±1). Each such UMTC can be obtained from 10 non-trivial prime UMTCs by direct product, and some symmetry operations. Explicit data of the 10 non-trivial prime UMTCs are given in Sect. 5. Relevance of UMTCs to topological quantum computation and various conjectures are given in Sect. 6.
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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
State sum invariants of 3-manifolds and quantum 6j-symbols
Turaev, V. G., & Viro, O. Y. (1992) · Topology · doi:10.1016/0040-9383(92)90015-a · Cited by 1,145
Fractional Statistics and Anyon Superconductivity
Wilczek, F. (1990) · Series on Directions in Condensed Matter Physics · doi:10.1142/0961 · Cited by 1,070
A Modular Functor Which is Universal¶for Quantum Computation
Freedman, M. H., Larsen, M., & Wang, Z. (2002) · Communications in Mathematical Physics · doi:10.1007/s002200200645 · Cited by 573
Self-citationTemperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
Kauffman, L. H., & Lins, S. (1994) · doi:10.1515/9781400882533 · Cited by 245
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Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
Bauer, B., Cincio, L., Keller, B. P., Dolfi, M., Vidal, G., Trebst, S., & Ludwig, A. W. W. (2014) · Nature Communications · doi:10.1038/ncomms6137 · Cited by 269
Decoder for the Triangular Color Code by Matching on a Möbius Strip
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Metadata
- Authors
- Rowell, E., Stong, R., & Wang, Z.
- Venue
- Communications in Mathematical Physics
- Published
- 2009-08-25
- Volume
- 292
- Issue
- 2
- Pages
- 343-389
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2127058163
- Cited by
- 314
- References
- 5
- FWCI
- 13.54
- Type
- journal article
- Language
- en
- Open access
- hybrid
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