SEMINARIO DE FISICA TEORICA I Y II

Titulo:         Completeness of classical spin models and universal quantum computation
Conferenciante: Gemma de las Cuevas (Institute for Quantum Optics and Quantum Information, Innsbruck Austria)
Dia y hora:     31, 14:15 (Aula 1)

Resumen:

It was recently shown [PRL 100, 110501 (2008)] how
 the partition function of classical spin models, such as the Ising
 and Potts models on arbitrary graphs, can be expressed as the overlap
 between a complete product state and a stabilizer state. Moreover, by
 invoking the universality of the one-way quantum computer it was
 proven how the partition function of an Ising model on a 2D square
 lattice can specialize to the partition function on an arbitrary
 graph, and in this sense the 2D Ising model is said to be
 ``complete''. However, in order to obtain this result the coupling
 strengths and local magnetic fields on the 2D square lattice had to
 be complex, and thus did not allow for a physical
 interpretation. Here we show how the 3D Ising model is complete with
 real parameters for Ising models. We also show how to generalize
 these results for q-state models with many-body interactions.