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math-ph2025
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…
math-ph2025★ 1 cited
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…
quant-ph2025
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…