  We study the topological entanglement entropy and scalar chirality of a
topologically ordered skyrmion formed in a two-dimensional triangular lattice.
Scalar chirality remains a smooth function of the magnetic field in both
helical and quantum skyrmion phases. In contrast, topological entanglement
entropy remains almost constant in the quantum skyrmion phase, whereas it
experiences enhanced fluctuations in the helical phase. Therefore, topological
entanglement entropy is an effective tool to distinguish between the two phases
and pinpoint the quantum phase transition in the system.
