Quantum Information as a Measure of Multipartite Correlation
Quant. Inf. Comp, 14(10) 3723 (2015) Quant. Inf. Comp, 14(10) 3723 (2015) The mutual information has been successfully used as a measure of correlation strength between quantum systems, especially for bipartite systems. Here we examine the use of this measure for multipartite quantum systems. For sy...
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Zusammenfassung: | Quant. Inf. Comp, 14(10) 3723 (2015) Quant. Inf. Comp, 14(10) 3723
(2015) The mutual information has been successfully used as a measure of correlation
strength between quantum systems, especially for bipartite systems. Here we
examine the use of this measure for multipartite quantum systems. For system of
qubits we find that the difference between `classical' and `quantum' regimes of
correlation strength amounts to just 1 bit of information, at most. We show
that the information content of a correlation can be expanded into correlations
between pairwise components and demonstrate that in terms of this
information-based measure of correlation the GHZ states are the only states
that simultaneously optimize these pairwise correlations for systems of qubits. |
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DOI: | 10.48550/arxiv.1610.00105 |