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Bols, Alex; Vadnerkar, Siddharth (2025) Classification of the Anyon Sectors of Kitaev’s Quantum Double Model. Communications in Mathematical Physics, 406 (8). doi:10.1007/s00220-025-05363-w

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Reference TypeJournal (article/letter/editorial)
TitleClassification of the Anyon Sectors of Kitaev’s Quantum Double Model
JournalCommunications in Mathematical Physics
AuthorsBols, AlexAuthor
Vadnerkar, SiddharthAuthor
Year2025 (August)Volume406
Issue8
PublisherSpringer Science and Business Media LLC
DOIdoi:10.1007/s00220-025-05363-wSearch in ResearchGate
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Mindat Ref. ID18672203Long-form Identifiermindat:1:5:18672203:5
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Full ReferenceBols, Alex; Vadnerkar, Siddharth (2025) Classification of the Anyon Sectors of Kitaev’s Quantum Double Model. Communications in Mathematical Physics, 406 (8). doi:10.1007/s00220-025-05363-w
Plain TextBols, Alex; Vadnerkar, Siddharth (2025) Classification of the Anyon Sectors of Kitaev’s Quantum Double Model. Communications in Mathematical Physics, 406 (8). doi:10.1007/s00220-025-05363-w
In(2025, August) Communications in Mathematical Physics Vol. 406 (8). Springer Science and Business Media LLC

References Listed

These are the references the publisher has listed as being connected to the article. Please check the article itself for the full list of references which may differ. Not all references are currently linkable within the Digital Library.

Alicki, R, Fannes, M, Horodecki, M (2007) A statistical mechanics view on Kitaev's proposal for quantum memories. Journal of Physics A: Mathematical and Theoretical, 40. 6451-6467 doi:10.1088/1751-8113/40/24/012
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Cha, Matthew, Naaijkens, Pieter, Nachtergaele, Bruno (2020) On the Stability of Charges in Infinite Quantum Spin Systems. Communications in Mathematical Physics, 373 (1). 219-264 doi:10.1007/s00220-019-03630-1
Chuah, Chian Yeong, Hungar, Brett, Kawagoe, Kyle, Penneys, David, Tomba, Mario, Wallick, Daniel, Wei, Shuqi (2024) Boundary algebras of the Kitaev quantum double model. Journal of Mathematical Physics, 65 (10). doi:10.1063/5.0212164
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Fiedler, Leander, Naaijkens, Pieter (2015) Haag duality for Kitaev’s quantum double model for abelian groups. Reviews in Mathematical Physics, 27. 1550021pp. doi:10.1142/s0129055x1550021x
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Not Yet Imported: - journal-article : 10.1017/S0004972700015707

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Jones, C., Naaijkens, P., Penneys, D., Wallick, D.: Local topological order and boundary algebras (2023). arXiv:2307.12552
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NAAIJKENS, PIETER (2011) LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE. Reviews in Mathematical Physics, 23. 347-373 doi:10.1142/s0129055x1100431x
Naaijkens, P.: Anyons in infinite quantum systems: QFT in d=2+1 and the toric code. PhD thesis, Radboud Universiteit Nijmegen, (2012)
Not Yet Imported: - journal-article : 10.1007/s11005-012-0572-7

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Naaijkens, Pieter (2013) Kosaki-Longo index and classification of charges in 2D quantum spin models. Journal of Mathematical Physics, 54. 81901pp. doi:10.1063/1.4818272
Not Yet Imported: - book-chapter : 10.1007/978-3-319-21353-8_9

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Nayak, Chetan, Simon, Steven H., Stern, Ady, Freedman, Michael, Das Sarma, Sankar (2008) Non-Abelian anyons and topological quantum computation. Reviews of Modern Physics, 80 (3). 1083-1159 doi:10.1103/revmodphys.80.1083
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Szlachányi, K., Vecsernyés, P. (1993) Quantum symmetry and braid group statistics inG-spin models. Communications in Mathematical Physics, 156 (1). 127-168 doi:10.1007/bf02096735
Vadnerkar, S.: Superselection sectors in the 3d toric code. Aug. 2023. arXiv:2308.06883
Vecsernyés, Peter (1994) On the quantum symmetry of the chiral Ising model. Nuclear Physics B, 415 (3). 557-588 doi:10.1016/0550-3213(94)90303-4
Not Yet Imported: - book : 10.1007/978-1-4612-6027-1

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See Also

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Shen, Yaolong; Wang, Weiqiang (2025) Quantum Supersymmetric Pairs of Basic Types. Communications in Mathematical Physics, 406 (8). doi:10.1007/s00220-025-05339-w
van Luijk, Lauritz (2025) Energy-Limited Quantum Dynamics. Communications in Mathematical Physics, 406 (5). doi:10.1007/s00220-025-05282-w
Fröhlich, Jürg; Gang, Zhou; Pizzo, Alessandro (2025) A Theory of Quantum Jumps. Communications in Mathematical Physics, 406 (8). doi:10.1007/s00220-025-05352-z
Haah, Jeongwan (2025) Topological Phases of Unitary Dynamics: Classification in Clifford Category. Communications in Mathematical Physics, 406 (4). doi:10.1007/s00220-025-05239-z
Mesland, Bram; Rennie, Adam (2025) Curvature and Weitzenböck Formula for the Podleś Quantum Sphere. Communications in Mathematical Physics, 406 (8). doi:10.1007/s00220-025-05348-9
Jurčo, Branislav; Pulmann, Ján; Zika, Martin (2025) Lagrangian Relations and Quantum $$L_{\infty }$$ Algebras. Communications in Mathematical Physics, 406 (6). doi:10.1007/s00220-025-05290-w
Stone, Bertrand, Yang, Fan, Yin, Jun (2025) A Random Matrix Model Towards the Quantum Chaos Transition Conjecture. Communications in Mathematical Physics, 406 (4). doi:10.1007/s00220-025-05275-9
Evans, David E.; Jones, Corey (2025) Quantum Symmetries of Noncommutative Tori. Communications in Mathematical Physics, 406 (7). doi:10.1007/s00220-025-05337-y
 
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