Entanglement measures based on observable correlations
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 3, pp. 453-462

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By regarding quantum states as communication channels and using observable correlations quantitatively expressed by mutual information, we introduce a hierarchy of entanglement measures that includes the entanglement of formation as a particular instance. We compare the maximal and minimal measures and indicate the conceptual advantages of the minimal measure over the entanglement of formation. We reveal a curious feature of the entanglement of formation by showing that it can exceed the quantum mutual information, which is usually regarded as a theoretical measure of total correlations. This places the entanglement of formation in a broader scenario, highlights its peculiarity in relation to pure-state ensembles, and introduces a competing definition with intrinsic informational significance.
Mots-clés : entanglement, observable correlations, entanglement of formation.
Keywords: mutual information
@article{TMF_2008_155_3_a4,
     author = {S. L. Luo},
     title = {Entanglement measures based on observable correlations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {453--462},
     publisher = {mathdoc},
     volume = {155},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_155_3_a4/}
}
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S. L. Luo. Entanglement measures based on observable correlations. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 3, pp. 453-462. http://geodesic.mathdoc.fr/item/TMF_2008_155_3_a4/