Publications (38)
Degeneracy Implies Non-abelian Statistics
Eric C. Rowell, Zhenghan Wang
Mathematics of Topological Quantum Computing
Eric C. Rowell, Zhenghan Wang
Braid representations from quantum groups of exceptional Lie type
Eric C. Rowell
Rank-finiteness for modular categories
Paul Bruillard, Siu-Hung Ng, Eric C. Rowell +1
Local unitary representations of the braid group and their applications to quantum computing
Colleen Delaney, Eric C. Rowell, Zhenghan Wang
A note on tensor categories of Lie type $E_9$
Eric C. Rowell
On classification of modular categories by rank
Paul Bruillard, Siu-Hung Ng, Eric C. Rowell +1
Unitarizablity of premodular categories
Eric C. Rowell
Generating functions for ranks of pre-modular categories
Eric C. Rowell
On the classification of non-self-dual modular categories
Seung-Moon Hong, Eric C. Rowell
Classification of Metaplectic Modular Categories
Eddy Ardonne, Meng Cheng, Eric C. Rowell +1
$SO(N)_2$ Braid group representations are Gaussian
Eric C. Rowell, Hans Wenzl
On a Family of Non-Unitarizable Ribbon Categories
Eric C. Rowell
Braid Representations from Unitary Braided Vector Spaces
César Galindo, Eric C. Rowell
Finite Linear Quotients of $\B_3$ of Low Dimension
Eric C. Rowell, Imre Tuba
An algebra-level version of a link-polynomial identity of Lickorish
Michael J. Larsen, Eric C. Rowell
Acyclic anyon models, thermal anyon error corrections, and braiding universality
César Galindo, Eric C. Rowell, Zhenghan Wang
On invariants of Modular categories beyond modular data
Parsa Bonderson, Colleen Delaney, César Galindo +3
A finiteness property for braided fusion categories
Deepak Naidu, Eric C. Rowell
Modular Categories of Dimension $p^3m$ with $m$ Square-Free
Paul Bruillard, Julia Yael Plavnik, Eric C. Rowell
Localization of unitary braid group representations
Eric C. Rowell, Zhenghan Wang
Extraspecial Two-Groups, Generalized Yang-Baxter Equations and Braiding Quantum Gates
Eric C. Rowell, Yong Zhang, Yong-Shi Wu +1
Two paradigms for topological quantum computation
Eric C. Rowell
Braid group representations from twisted quantum doubles of finite groups
Pavel Etingof, Eric C. Rowell, Sarah Witherspoon
Generalized and quasi-localizations of braid group representations
César Galindo, Seung-Moon Hong, Eric C. Rowell
Modular categories, integrality and Egyptian fractions
Paul Bruillard, Eric C. Rowell
The N-eigenvalue Problem and Two Applications
Michael Larsen, Eric C. Rowell, Zhenghan Wang
From Quantum Groups to Unitary Modular Tensor Categories
Eric C. Rowell
On the Classification of Weakly Integral Modular Categories
Paul Bruillard, César Galindo, Siu-Hung Ng +3
Fermionic Modular Categories and the 16-fold Way
Paul Bruillard, Cesar Galindo, Tobias Hagge +4
An Invitation to the Mathematics of Topological Quantum Computation
Eric C. Rowell
Low-dimensional representations of the three component loop braid group
Paul Bruillard, Liang Chang, Seung-Moon Hong +3
Congruence Subgroups and Super-Modular Categories
Parsa Bonderson, Eric C. Rowell, Qing Zhang +1
Parameter-dependent Gaussian $(z,N)$-generalized Yang-Baxter operators
Eric C. Rowell
A quaternionic braid representation (after Goldschmidt and Jones)
Eric C. Rowell
Unitary Braid Representations with Finite Image
Michael J. Larsen, Eric C. Rowell
Classification of super-modular categories by rank
Paul Bruillard, César Galindo, Siu-Hung Ng +3
Extraspecial 2-groups and images of braid group representations
Jennifer Franko, Eric C. Rowell, Zhenghan Wang