Fault-tolerant quantum computation demands significant resources: large numbers of
physical qubits must be checked for errors repeatedly to protect quantum data as logic gates …

Many applications of fusion categories, particularly in physics, require the associators or $ F
$-symbols to be known explicitly. Finding these matrices typically involves solving vast …

Computing data for Levin-Wen with defects Page 1 Computing data for Levin-Wen with defects
Jacob C. Bridgeman1 and Daniel Barter2 1Perimeter Institute for Theoretical Physics, Waterloo …

Topological quantum error correction based on the manipulation of the anyonic defects
constitutes one of the most promising frameworks towards realizing fault-tolerant quantum …

The Schur orthogonality relations are a cornerstone in the representation theory of groups.
We utilize a generalization to weak Hopf algebras to provide a new, readily verifiable …

The goal of this work is to build a dynamical theory of defects for quantum spin systems. This
is done by explicitly giving an exhaustive case study of a one-dimensional spin chain with …

Bridgeman, Jacob C. ; Lootens, Laurens ; Verstraete, Frank Invertible bimodule categories and
generalized Schur orthogonality. Page 1 Bridgeman, Jacob C.; Lootens, Laurens; Verstraete …