What is it about?
This work elaborates an SL-invariant feature which is balancedness. At the end it discusses some peculiarities of SL-invariant entanglement measures which is imported on possible measures of higher local dimension.
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Why is it important?
The demand of the additional SL-invariance of entanglement measures offers, besides other important and favorable features from earlier work, a straight forward testable requirement on the states, which is the balancedness. Each state that is detected by some SL-invariant measure necessarily has this property.
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This page is a summary of: The invariant-comb approach and its relation to the balancedness of multipartite entangled states, New Journal of Physics, July 2010, Institute of Physics Publishing,
DOI: 10.1088/1367-2630/12/7/075025.
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