68 citations · 90 across the 5 of their papers we have counts for
5 papers
Error bounds for Lie Group representations in quantum mechanics
Lauritz van Luijk, Niklas Galke, Alexander Hahn +1
We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a stat…
Unification of Random Dynamical Decoupling and the Quantum Zeno Effect
Alexander Hahn, Daniel Burgarth, Kazuya Yuasa
Periodic deterministic bang-bang dynamical decoupling and the quantum Zeno effect are known to emerge from the same physical mechanism. Both concepts are based on cycles of strong…
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…
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…