Topologically-ordered states in two dimensions are long-range entangled states that host exotic anionic excitations.  

They are characterized by a set of universal data, such as topological entanglement entropy and braiding statistics of anyons. In this talk, I will discuss how we can extract universal information beyond topological entanglement entropy from topologically-ordered ground state wavefunctions. In particular, I will discuss the so-called higher central charges that are related to the gappablity of edge states. We show that the higher central charges can be characterized by the expectation value of the partial rotation operator acting on the wavefunction of the topologically ordered state. This allows us to extract the higher central charge from a single wavefunction, which can be evaluated on a quantum computer.