Connecting the tensor-categorical formulation of anyon condensation with operator algebras and entropic order parameters
This paper connects anyon condensation, a transition between topological quantum field theories, to operator algebras using Doplicher-Haag-Roberts bimodules. It introduces an entropic order parameter, defined as relative entropy between states on related algebras. A key finding is that the bound on this parameter equals the quantum dimension of the condensable algebra, providing a measurable link between topological order and algebraic structure.