Hannover 2010 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 4: Quantum Information: Concepts and Methods I
Q 4.6: Talk
Monday, March 8, 2010, 15:15–15:30, E 214
Mapping between Kitaev's quantum double and the Levin-Wen spin net — •Zoltan Kadar1, Annalisa Marzuoli2, and Mario Rasetti1,3 — 1ISI Foundation, Torino, Italy — 2University of Pavia, Italy — 3Politecnico di Torino, Italy
Duality in lattice gauge theory is an equivalence of different descriptions of states living on the lattice. Kitaev's model is the description in terms of the (gauge) group algebra basis, the Levin-Wen spin net is that in the Fourier (a.k.a. spin network) basis. The construction is explicit for the ground state, whereas matching excitations is an open problem.