141 citations · 769 across the 61 of their papers we have counts for
4 papers · 1 filter
Dimension as a quantum statistic and the classification of metaplectic categories
Paul Bruillard, Paul Gustafson, Julia Yael Plavnik +1
We discuss several useful interpretations of the categorical dimension of objects in a braided fusion category, as well as some conjectures demonstrating the value of quantum dimen…
Classification of super-modular categories by rank
Paul Bruillard, César Galindo, Siu-Hung Ng +3
We pursue a classification of low-rank super-modular categories parallel to that of modular categories. We classify all super-modular categories up to rank=, and spin modular ca…
Mathematics of Topological Quantum Computing
Eric C. Rowell, Zhenghan Wang
In topological quantum computing, information is encoded in "knotted" quantum states of topological phases of matter, thus being locked into topology to prevent decay. Topological…
Congruence Subgroups and Super-Modular Categories
Parsa Bonderson, Eric C. Rowell, Qing Zhang +1
A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. Super-modular categories are impor…