2D quantum double models from a 3D perspective (Q2922376)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: 2D quantum double models from a 3D perspective |
scientific article; zbMATH DE number 6353537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 2D quantum double models from a 3D perspective |
scientific article; zbMATH DE number 6353537 |
Statements
2D quantum double models from a 3D perspective (English)
0 references
10 October 2014
0 references
topological quantum computation
0 references
3-manifold inavariants
0 references
topological quantum field theory
0 references
0.8697195
0 references
0.86945057
0 references
0.8638716
0 references
0.86163867
0 references
0 references
0.8590031
0 references
0.84992415
0 references
0.8452513
0 references
0.8450045
0 references
The paper deals with three dimensional (3D) lattice models considered as the generalizations of the approach used to define the Kuperberg invariant of 3-manifolds. Firstly, one recalls the 3D-model and its relations with lattice gauge theories. Then, one obtains the transfer matrix and one shows how to derive the Hamiltonian from the transfer matrix. The ground states of these models are studied. The model proposed herein provides a uniform approach to various models which are available in the literature.
0 references
