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math-ph2016★ 22 cited
The complete set of infinite volume ground states for Kitaev's abelian quantum double models
Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele
We study the set of infinite volume ground states of Kitaev's quantum double model on for an arbitrary finite abelian group . It is known that these models have a…
quant-ph2016★ 11 cited
Jones index, secret sharing and total quantum dimension
Leander Fiedler, Pieter Naaijkens, Tobias J. Osborne
We study the total quantum dimension in the thermodynamic limit of topologically ordered systems. In particular, using the anyons (or superselection sectors) of such models, we def…