Recoverable information and emergent conservation laws in fracton stabilizer codes

In this paper, the authors introduce the concept of recoverable information, which is well-defined for any stabilizer code. The concept illuminates universal properties of a phase analogous to that captured by entanglement entropy, since each bit of recoverable information is related to an independent Z₂ Gauss-law type relation for excitations as satisfied by the entanglement surface. Since the interpretation of entanglement structure is poorly understood in three-dimensional fracton models, the authors calculate recoverable information for type-I and type-II stabilizer fracton models via three different methods, demonstrating the topological properties such models possess.