10 citations · 11 across the 5 of their papers we have counts for
6 papers
Quantum algorithms for N-1 security in power grids
Niels M. P. Neumann, Stan van der Linde, Willem de Kok +7
In recent years, the supply and demand of electricity has significantly increased. As a result, the interconnecting grid infrastructure has required (and will continue to require)…
Domain walls between 3d phases of Reshetikhin-Turaev TQFTs
Vincent Koppen, Vincentas Mulevicius, Ingo Runkel +1
We study surface defects in three-dimensional topological quantum field theories which separate different theories of Reshetikhin-Turaev type. Based on the new notion of a Frobeniu…
Exactly solvable models for 2+1D topological phases derived from crossed modules of semisimple Hopf algebras
Vincent Koppen, João Faria Martins, Paul Purdon Martin
We define an exactly solvable model for 2+1D topological phases of matter on a triangulated surface derived from a crossed module of semisimple finite-dimensional Hopf algebras, th…
Defects in Kitaev models and bicomodule algebras
Vincent Koppen
We construct a Kitaev model, consisting of a Hamiltonian which is the sum of commuting local projectors, for surfaces with boundaries and defects of dimension 0 and 1. More specifi…
On isotypic decompositions for non-semisimple Hopf algebras
Vincent Koppen, Ehud Meir, Christoph Schweigert
In this paper we study the isotypic decomposition of the regular module of a finite-dimensional Hopf algebra over an algebraically closed field of characteristic zero. For a semisi…
Category-valued traces for bimodule categories: a representation-theoretic realization
Vincent Koppen
The category-valued trace assigns to a bimodule category over a linear monoidal category a linear category. It generalizes Drinfeld centers of monoidal categories and the relative…