Ferreira, Miguel Jorge Bernabé; Padmanabhan, Pramod; Teotonio-Sobrinho, Paulo 2D quantum double models from a 3D perspective. (English) Zbl 1300.37048 J. Phys. A, Math. Theor. 47, No. 37, Article ID 375204, 50 p. (2014). 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. Reviewer: Guy Jumarie (Montréal) Cited in 5 Documents MSC: 37L25 Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems 81P68 Quantum computation 68Q05 Models of computation (Turing machines, etc.) (MSC2010) 94A60 Cryptography 81T25 Quantum field theory on lattices Keywords:topological quantum computation; 3-manifold inavariants; topological quantum field theory PDFBibTeX XMLCite \textit{M. J. B. Ferreira} et al., J. Phys. A, Math. Theor. 47, No. 37, Article ID 375204, 50 p. (2014; Zbl 1300.37048) Full Text: DOI arXiv