nLab Zhenghan Wang

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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 braiding of su(2)-anyons providing universal quantum gates for topological quantum computation:

• Michael Freedman, Michael Larsen, Zhenghan Wang, A modular functor which is universal for quantum computation, Communications in Mathematical Physics 227 (2002) 605–622 [arXiv:quant-ph/0001108, doi:10.1007/s002200200645]

On topological quantum computation with anyons in Chern-Simons theory:

• Michael Freedman, Alexei Kitaev, Michael Larsen, Zhenghan Wang, Topological quantum computation, Bull. Amer. Math. Soc. 40 (2003), 31-38 (arXiv:quant-ph/0101025, doi:10.1090/S0273-0979-02-00964-3, pdf)

• Zhenghan Wang, Topological Quantum Computation, CBMS Regional Conference Series in Mathematics 112, AMS 2010 (ISBN-13: 978-0-8218-4930-9, pdf)

• 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)

and with focus on abelian anyons in terms of modular tensor categories:

• Wade Bloomquist, Zhenghan Wang, On Topological Quantum Computing With Mapping Class Group Representations, J. Phys. A: Math. Theor. 52 (2019) 015301 (arXiv:1805.04622, doi:10.1088/1751-8121/aaeea1)

• Liang Wang, Zhenghan Wang, In and around Abelian anyon models, J. Phys. A: Math. Theor. 53 505203 (2020) (doi:10.1088/1751-8121/abc6c0)

On identifying topological order via topological entanglement entropy of the ground state:

• Hong-Chen Jiang, Zhenghan Wang, Leon Balents, Identifying Topological Order by Entanglement Entropy, Nature Physics 8, 902-905 (2012) (arXiv:1205.4289)

Introducing the 4d TQFT Walker-Wang model:

• Kevin Walker, Zhenghan Wang, (3+1)-TQFTs and Topological Insulators, Frontiers of Physics volume 7, pages 150–159 (2012) (arXiv:1104.2632, doi:10.1007/s11467-011-0194-z)

On number theoretic aspects of modular tensor categories:

• Orit Davidovich, Tobias Hagge, Zhenghan Wang, On Arithmetic Modular Categories, arXiv preprit, 2013 [arXiv:1305.2229]

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)

A proposal for classifying symmetry-protected anyonic topological order in terms of 2-groupoidal-actions on modular tensor categories:

• Zhenghan Wang, §2.2 of: Beyond Anyons, Modern Physics Letters A 33 28 (2018) 1830011 [arXiv:1710.00464, doi:10.1142/S0217732318300112]

• Maissam Barkeshli, Parsa Bonderson, Meng Cheng, Zhenghan Wang, Symmetry Fractionalization, Defects, and Gauging of Topological Phases, Phys. Rev. B 100 115147 (2019) $[$arXiv:1410.4540, doi:10.1103/PhysRevB.100.115147, talk pdf$]$

On adiabatic transformations of certain 2d topological insulators:

• David Aasen, Zhenghan Wang, Matthew B. Hastings, Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes [arXiv:2203.11137]

Related entries

• Walker-Wang model

category: people