6 papers
A complete classification of 2d symmetry protected states with symmetric entanglers
Alex Bols, Wojciech De Roeck, Michiel De Wilde +1
We consider symmetry protected topological states of 2d quantum spin systems, with a finite symmetry group . It has been conjectured that such states are classified by the cohom…
Sector Theory of Levin-Wen Models I : Classification of Anyon Sectors
Alex Bols, Boris Kjær
We classify the irreducible anyon sectors of Levin-Wen models over an arbitrary unitary fusion category , showing that they are in one-to-one correspondence with equiv…
Sector Theory of Levin-Wen Models II : Fusion and Braiding
Alex Bols, Boris Kjær
This is the continuation of our study of the Levin-Wen model based on an arbitrary unitary fusion category on the infinite plane. The ground state of the Levin-Wen mo…
The category of anyon sectors for non-abelian quantum double models
Alex Bols, Mahdie Hamdan, Pieter Naaijkens +1
We study Kitaev's quantum double model for arbitrary finite gauge group in infinite volume, using an operator-algebraic approach. The quantum double model hosts anyonic excitations…
Classification of the anyon sectors of Kitaev's quantum double model
Alex Bols, Siddharth Vadnerkar
We give a complete classification of the anyon sectors of Kitaev's quantum double model on the infinite triangular lattice and for finite gauge group , including the non-abelian…
Classification of locality preserving symmetries on spin chains
Alex Bols, Wojciech De Roeck, Michiel De Wilde +1
We consider the action of a finite group by locality preserving automorphisms (quantum cellular automata) on quantum spin chains. We refer to such group actions as ``symmetries…