Title
A Characterization of Global Entanglement
Abstract
We define a set of 2 n驴1驴1 entanglement monotones for n qubits and give a single measure of entanglement in terms of these. This measure is zero except on globally entangled (fully inseparable) states. This measure is compared to the Meyer---Wallach measure for two, three, and four qubits. We determine the four-qubit state, symmetric under exchange of qubit labels, which maximizes this measure. It is also shown how the elementary monotones may be computed as a function of observable quantities. We compute the magnitude of our measure for the ground state of the four-qubit superconducting experimental system investigated in [M. Grajcar et al., Phys. Rev. Lett. 96, 047006 (2006)], and thus confirm the presence of global entanglement in the ground state.
Year
DOI
Venue
2007
10.1007/s11128-007-0052-7
Quantum Information Processing
Keywords
Field
DocType
Meyer–Wallach measure,elementary monotones,entanglement monotones,global entanglement,four-qubit state,qubit labels,03.65.Ud,03.67.Lx
Multipartite entanglement,Superconductivity,Ground state,Observable,Quantum electrodynamics,W state,Quantum entanglement,Quantum mechanics,Squashed entanglement,Qubit,Physics
Journal
Volume
Issue
ISSN
6
3
1570-0755
Citations 
PageRank 
References 
2
0.76
2
Authors
8
Name
Order
Citations
PageRank
Peter J. Love162.55
Alec Maassen Brink221.10
A. Yu. Smirnov321.10
M. H. Amin481.83
M. Grajcar521.44
E. Il'Ichev621.44
A. Izmalkov720.76
A. M. Zagoskin821.44