Thursday, May 24, 2012

1205.5185 (H. Kalis et al.)

Fate of the cluster state on the square lattice in a magnetic field    [PDF]

H. Kalis, D. Klagges, R. Orus, K. P. Schmidt
The cluster state represents a highly entangled state which is one central object for measurement-based quantum computing. Here we study the robustness of the cluster state on the two-dimensional square lattice at zero temperature in the presence of external magnetic fields by means of different types of high-order series expansions and variational techniques using infinite Projected Entangled Pair States (iPEPS). The phase diagram displays a first-order phase transition line ending in two critical end points. Furthermore, it contains a characteristic self-dual line in parameter space allowing many precise statements. The self-duality is shown to exist on any lattice topology.
View original: http://arxiv.org/abs/1205.5185

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