Hannover 2010 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 4: Quantum Information: Concepts and Methods I

Q 4.6: Vortrag

Montag, 8. März 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 Rasetti^1,3 — 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.