Observable Correlations in Two-Qubit States |
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Authors: | Shunlong Luo and Qiang Zhang |
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Institution: | (1) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190 Beijing, People’s Republic of China;(2) Department of Mathematics, City University of Hong Kong, Hong Kong, Hong Kong, China |
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Abstract: | 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. |
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Keywords: | Quantum mutual information Von Neumann measurement Observable correlations Classical correlations Lindblad conjecture |
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