Title: Normal forms and entanglement measures for multipartite quantum states
Authors: Verstraete, F ×
Dehaene, Jeroen
De Moor, Bart #
Issue Date: Jul-2003
Publisher: American physical soc
Series Title: Physical Review A, Atomic, Molecular and Optical Physics vol:68 issue:1 pages:012103_1-012103_7
Abstract: A general mathematical framework is presented to describe local equivalence classes of multipartite quantum states under the action of local unitary and local filtering operations. This yields multipartite generalizations of the singular value decomposition. The analysis naturally leads to the introduction of entanglement measures quantifying the multipartite entanglement (as generalizations of the concurrence for two qubits and the 3-tangle for three qubits), and the optimal local filtering operations maximizing these entanglement monotones are obtained. Moreover, a natural extension of the definition of Greenberger-Horne-Zeilinger states to, e.g., 2x2xN systems is obtained.
ISSN: 1050-2947
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
Tutorial services, Faculty of Engineering
× corresponding author
# (joint) last author

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