Additivity relations in quantum correlations
arXiv:1305.3609 · doi:10.1103/PhysRevA.87.052114
Abstract
Does the sum of correlations in subsystems constitute the correlation in the total system? Such a concept can be expressed by an additivity relationship of correlations. From a strong subadditivity condition of von Neumann entropy, four different additivity relations in total correlation are derived and quantified. Based upon the classification of the additivity in total correlation, we identify the corresponding additive relationships in entanglement. It is also discussed that similar relationships are satisfied for quantum discord of pure states, but it is not always true for mixed states.
8 pages, 5 figures
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Cited by in corpus (4)
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- Relation between the Greenberger-Horne-Zeilinger--entanglement cost of preparing a multipartite pure state and its quantum discord
- Reexamination of strong subadditivity: A quantum-correlation approach