3 papers
math-ph2026
Pure gapped ground states of spin chains are short-range entangled
Wojciech De Roeck, Martin Fraas, Bruno de O. Carvalho
We consider spin chains with a finite range Hamiltonian. For reasons of simplicity, the chain is taken to be infinitely long. A ground state is said to be a unique gapped ground st…
math-ph2026
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…
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…