68 citations · 81 across the 4 of their papers we have counts for
7 papers
Microscopic Models for Fusion Categories
Ramona Wolf
This is a PhD Thesis on the connection between subfactors (more precisely, their corresponding fusion categories) and Conformal Field Theory (CFT). Besides being a mathematically i…
Generalized string-nets for unitary fusion categories without tetrahedral symmetry
Alexander Hahn, Ramona Wolf
The Levin-Wen model of string-net condensation explains how topological phases emerge from the microscopic degrees of freedom of a physical system. However, the original constructi…
Gauging Defects in Quantum Spin Systems
Jacob C. Bridgeman, Alexander Hahn, Tobias J. Osborne +1
The goal of this work is to build a dynamical theory of defects for quantum spin systems. A kinematic theory for an indefinite number of defects is first introduced exploiting dist…
The F-Symbols for the H3 Fusion Category
Tobias J. Osborne, Deniz E. Stiegemann, Ramona Wolf
We present a solution for the F-symbols of the H3 fusion category, which is Morita equivalent to the even parts of the Haagerup subfactor. This solution has been computed by solvin…
Efficient Learning for Deep Quantum Neural Networks
Kerstin Beer, Dmytro Bondarenko, Terry Farrelly +3
Neural networks enjoy widespread success in both research and industry and, with the imminent advent of quantum technology, it is now a crucial challenge to design quantum neural n…
From categories to anyons: a travelogue
Kerstin Beer, Dmytro Bondarenko, Alexander Hahn +8
In this paper we provide an overview of category theory, focussing on applications in physics. The route we follow is motivated by the final goal of understanding anyons and topolo…