Fate of the cluster state on the square lattice in a magnetic field
| Autor: | Kalis, H., Klagges, D., Orus, R., Schmidt, K. P. |
|---|---|
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 86, 022317 (2012) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.86.022317 |
| Popis: | 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. Comment: 12 pages, 9 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|