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Zbl 1170.81016
Luo, Shunlong; Zhang, Qiang
Observable correlations in two-qubit states. (English)
[J] J. Stat. Phys. 136, No. 1, 165-177 (2009). ISSN 0022-4715; ISSN 1572-9613/e

Summary: The total correlations in a bipartite quantum state are well quantified by the quantum mutual information, the amount of which is not necessarily fully extractable by local measurements. The observable correlations are the maximal correlations that can be extracted via local measurements, and have an intuitive interpretation as a measure of classical correlations. We evaluate the observable correlations for generic two-qubit states and obtain analytical expressions in some particular cases. The intricate and subtle relationships among the total, quantum and classical correlations are illustrated in terms of observable correlations. In the course, we also disprove an intuitive conjecture of Lindblad which states that the classical correlations account for at least half of the total correlations, or equivalently, correlations are more classical than quantum.

MSC 2000:: *81P68 Quantum computation and quantum cryptography
94A40 Channel models

Keywords: quantum mutual information; von Neumann measurement; observable correlations; classical correlations; Lindblad conjecture

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