144 citations · 272 across the 3 of their papers we have counts for
3 papers
cond-mat.str-el2009★ 123 cited
Mapping Kitaev's quantum double lattice models to Levin and Wen's string-net models
Oliver Buerschaper, Miguel Aguado
We exhibit a mapping identifying Kitaev's quantum double lattice models explicitly as a subclass of Levin and Wen's string net models via a completion of the local Hilbert spaces w…
cond-mat.str-el2008★ 144 cited
Explicit tensor network representation for the ground states of string-net models
O. Buerschaper, M. Aguado, G. Vidal
The structure of string-net lattice models, relevant as examples of topological phases, leads to a remarkably simple way of expressing their ground states as a tensor network const…
quant-ph2004★ 5 cited
Stroboscopic quantum walks
O. Buerschaper, K. Burnett
Discrete time (coined) quantum walks are produced by the repeated application of a constant unitary transformation to a quantum system. By recasting these walks into the setting of…