Genuine multipartite entanglement in the cluster-Ising model

Autor(en)
S. M. Giampaolo, B. C. Hiesmayr
Abstrakt

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(en)
Teilchenphysik
Journal
New Journal of Physics
Band
16
Anzahl der Seiten
13
ISSN
1367-2630
DOI
https://doi.org/10.1088/1367-2630/16/9/093033
Publikationsdatum
09-2014
Peer-reviewed
Ja
ÖFOS 2012
103025 Quantenmechanik
Schlagwörter
ASJC Scopus Sachgebiete
Physics and Astronomy(all)
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/genuine-multipartite-entanglement-in-the-clusterising-model(541186bb-2a0c-4f35-8f8f-40f5cc2cbdf4).html