  We study the entanglement spectrum of topological systems hosting non-Abelian
anyons. Akin to energy levels of a Hamiltonian, the entanglement spectrum is
composed of symmetry multiplets. We find that the ratio between different
eigenvalues within one multiplet is universal and is determined by the anyonic
quantum dimensions. This result is a consequence of the conservation of the
total topological charge. For systems with non-Abelian topological order, this
generalizes known degeneracies of the entanglement spectrum, which are
hallmarks of topological states. Experimental detection of these entanglement
spectrum signatures may become possible in Majorana wires using multicopy
schemes, allowing the measurement of quantum entanglement and its symmetry
resolution.
