2014/03/27 by S. M. Giampaolo, S M Giampaolo, B. C. Hiesmayr +1 · 40 citations
Computer Science · Physics and Astronomy · #Bipartite graph #Cluster state #Ising model #Measure (data warehouse) #Multipartite entanglement #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Squashed entanglement #W state #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/1367-2630/16/9/093033
published in New Journal of Physics 16(9), 093033 (IOP Publishing) · 7 pages, 4 figures
arxiv created 2014/03/27 · openalex publication_date 2014/09/24 · arxiv updated 2014/10/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We evaluate and analyze the exact value of a measure for local genuine tripartite entanglement in the one-dimensional cluster-Ising model for spin- 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.