nLab Eric Rowell

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Selected writings

On modular tensor categories:

• Eric Rowell, Richard Stong, Zhenghan Wang, On classification of modular tensor categories, Comm. Math. Phys. 292 (2009) no. 2, 343–389 (arXiv:0712.1377)

On topological quantum computation by braiding of anyons (via Chern-Simons theory):

• Eric C. Rowell, An Invitation to the Mathematics of Topological Quantum Computation, J. Phys.: Conf. Ser. 698 (2016) 012012 (doi:10.1088/1742-6596/698/1/012012)

• Eric Rowell, Zhenghan Wang, Mathematics of Topological Quantum Computing, Bull. Amer. Math. Soc. 55 (2018), 183-238 (arXiv:1705.06206, doi:10.1090/bull/1605)

• Eric C. Rowell, Braids, Motions and Topological Quantum Computing [arXiv:2208.11762]

On braid group representations (specifically the Burau representation and its relation to the Alexander polynomial) and their application to topological quantum computation:

• Colleen Delaney, Eric C. Rowell, Zhenghan Wang, Local unitary representations of the braid group and their applications to quantum computing, Revista Colombiana de Matemáticas (2017) 50 (2):211 (arXiv:1604.06429, doi:10.15446/recolma.v50n2.62211)

On super-modular tensor categories:

• Parsa Bonderson, Eric C. Rowell, Qing Zhang, Zhenghan Wang: Congruence Subgroups and Super-Modular Categories, Pacific J. Math. 296 (2018) 257-270 [arXiv:1704.02041, doi:10.2140/pjm.2018.296.257]

On classification of modular tensor categories motivated from anyonuc topological order:

• Siu-Hung Ng, Eric C. Rowell, Xiao-Gang Wen: Classification of modular data up to rank 12 [arXiv:2308.09670]

Related entries

• modular tensor category

category: people