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A hierarchy of topological tensor network states
Journal of Mathematical Physics
We present a hierarchy of quantum many-body states among which many examples of topological order can be identified by construction. We define these states in terms of a general, basis-independent framework of tensor networks based on the algebraic setting of finite-dimensional Hopf C*-algebras. At the top of the hierarchy we identify ground states of new topological lattice models extending Kitaev's quantum double models . For these states we exhibit the mechanism responsible for theirdoi:10.1063/1.4773316 fatcat:5fy7yui5fbaurgut3jq55s43qe