Showing 2023Show all
2 papers · 1 filter
cond-mat.str-el2023
Boundary algebras of the Kitaev Quantum Double model
Mario Tomba, Shuqi Wei, Brett Hungar +4
The recent article [arXiv:2307.12552] gave local topological order (LTO) axioms for a quantum spin system, showed they held in Kitaev's Toric Code and in Levin-Wen string net model…
math-ph2023
Local topological order and boundary algebras
Corey Jones, Pieter Naaijkens, David Penneys +1
We introduce a set of axioms for locally topologically ordered quantum spin systems in terms of nets of local ground state projections, and we show they are satisfied by Kitaev's T…