Shawn X. CuiCésar GalíndoDiego Romero2026-03-222026-03-22202510.1063/5.0268875https://doi.org/10.1063/5.0268875https://andeanlibrary.org/handle/123456789/53718Citaciones: 1We study the Twisted Kitaev Quantum Double model within the framework of Local Topological Order (LTO). We extend its definition to arbitrary 2D lattices, enabling an explicit characterization of the ground state space through the invariant spaces of monomial representations. We reformulate the LTO conditions to include general lattices and prove that the twisted model satisfies all four LTO axioms on any 2D lattice. As a corollary, we show that its ground state space is a quantum error-correcting code.enOrder (exchange)QuantumPhysicsTopology (electrical circuits)Topological quantum computerTopological degeneracyTopological orderTheoretical physicsMathematicsSymmetry protected topological orderarticle