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Characterizing Correlations via Skew Information

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Abstract

The skew information has important applications in quantum theory. In this paper, a measure for correlations in terms of the skew information is introduced and discussed. Its fundamental properties are obtained, which include the measure is locally unitary invariant and convex on the set of states with the fixed marginal state, moreover, it decreases under local random unitary operation. Lastly, we propose an entanglement criterion in terms of the quantum skew information and illustrate the significance of this criterion by some examples.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 11701011, 11761001, 11761003), the Natural Science Foundation of Ningxia (No. 2020AAC03229), the First-Class Disciplines Foundation of Ningxia (No. NXYLXK2017B09).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Ningxia Key Laboratory of Intelligent Information and Big Data Processing, North Minzu University, Yinchuan, 750021, China

    Yajing Fan

  2. School of Ethnic Education, Shaanxi Normal University, Xi’an, 710062, China

    Wenhua Wang

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  1. Yajing Fan
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  2. Wenhua Wang
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Correspondence to Yajing Fan.

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Fan, Y., Wang, W. Characterizing Correlations via Skew Information. Int J Theor Phys 59, 3967–3978 (2020). https://doi.org/10.1007/s10773-020-04646-3

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  • DOI: https://doi.org/10.1007/s10773-020-04646-3

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