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Entanglement measures based on observable correlations

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Abstract

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.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, People’s Republic of China

    Shunlong Luo

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  1. Shunlong Luo
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Correspondence to Shunlong Luo.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 3, pp. 453–462, June, 2008.

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Luo, S. Entanglement measures based on observable correlations. Theor Math Phys 155, 896–904 (2008). https://doi.org/10.1007/s11232-008-0075-y

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  • DOI: https://doi.org/10.1007/s11232-008-0075-y

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