Abstract
Topological order, reflected in long range patterns of entanglement, is quantified by the topological entanglement entropy (TEE) γ. We show that for gapped quantum spin liquids (QSL) it is possible to extract γ using two-spin local correlators. We demonstrate our method for the gapped Z₂ Kitaev spin liquid on a honeycomb lattice with anisotropic interactions. We show that the γ = log 2 for Z₂ topological order can be simply extracted from local two-spin correlators across two different bonds, with an accuracy comparable or higher than the Kitaev-Preskill construction. This implies that the different superselection sectors of Z₂ gauge theory determined by global Wilson loop operators can be fully reflected locally in the matter majorana sector.