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

Kalis H, Klagges D, Orus R, Schmidt KP (2012)

Publication Status: Published

Publication Type: Journal article

Publication year: 2012

Journal

Physical Review A American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 86

Journal Issue: 2

DOI: 10.1103/PhysRevA.86.022317

Abstract

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. 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.

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Technische Universität Dortmund DE Germany (DE) Max-Planck-Institute of Quantum Optics (MPQ) / Max-Planck-Institut für Quantenoptik DE Germany (DE)

How to cite

APA:

Kalis, H., Klagges, D., Orus, R., & Schmidt, K.P. (2012). Fate of the cluster state on the square lattice in a magnetic field. Physical Review A, 86(2). https://doi.org/10.1103/PhysRevA.86.022317

MLA:

Kalis, Henning, et al. "Fate of the cluster state on the square lattice in a magnetic field." Physical Review A 86.2 (2012).

BibTeX: Download