Phys. Rev. A 81, 032306 (2010) [6 pages]Geometric measures of entanglementReceived 20 October 2009; published 8 March 2010 The geometric measure of entanglement, which expresses the minimum distance to product states, has been generalized to distances to sets that remain invariant under the stochastic reducibility relation. For each such set, an associated entanglement monotone can be defined. The explicit analytical forms of these measures are obtained for bipartite entangled states. Moreover, the three-qubit case is discussed and it is argued that the distance to the W states is a new monotone. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.81.032306
DOI:
10.1103/PhysRevA.81.032306
PACS:
03.67.Mn, 03.65.Ud
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