Institute for Quantum Information (IQI) Weekly Seminar

In this talk, we focus on describing topologically ordered ground state
spaces of local Hamiltonians. This description includes a set of rules
(tensor equations) which are satisfied by a matrix product operator (MPO)
and the local tensor of the tensor network state (TNS). We see that these
rules are satisfied for string-net models by showing that the consistency
equations for these models correspond to our set of rules for a specific
local tensor and MPO. At the end, we will discuss possible future
directions.