68 citations · 81 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
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…
Entanglement detection by violations of noisy uncertainty relations: A proof of principle
Yuan-Yuan Zhao, Guo-Yong Xiang, Xiao-Min Hu +5
It is well-known that the violation of a local uncertainty relation can be used as an indicator for the presence of entanglement. Unfortunately, the practical use of these non-line…