# Genuine multipartite entanglement in the cluster-Ising model

Author(s)
S. M. Giampaolo, B. C. Hiesmayr
Abstract

We evaluate and analyze the exact value of a measure for local genuine tripartite entanglement in the one-dimensional cluster-Ising model for spin- $\frac{1}{2}$ particles. This model is attractive since cluster states are considered to be relevant sources for applying quantum algorithms and the model is experimentally feasible. Whereas bipartite entanglement is identically vanishing, we find that genuine tripartite entanglement is non zero in the anti-ferromagnetic phase and also in the cluster phase well before the critical point. We prove that the measure of local genuine tripartite entanglement captures all the properties of the symmetry-protected topological quantum phase transition. Remarkably, we find that the amount of genuine tripartite entanglement is independent of whether the ground states satisfy or break the symmetries of the Hamiltonian. We provide also strong evidences that local genuine tripartite entanglement represents the unique non-vanishing genuine multipartite entanglement.

Organisation(s)
Particle Physics
Journal
New Journal of Physics
Volume
16
No. of pages
13
ISSN
1367-2630
DOI
https://doi.org/10.1088/1367-2630/16/9/093033
Publication date
09-2014
Peer reviewed
Yes
Austrian Fields of Science 2012
103025 Quantum mechanics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/genuine-multipartite-entanglement-in-the-clusterising-model(541186bb-2a0c-4f35-8f8f-40f5cc2cbdf4).html