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Quantifying Correlations via the Wigner-Yanase-Dyson Skew Information

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Abstract

In this paper, based on a discussion about the Wigner-Yanase-Dyson (WYD) skew information, the measure F a,α (ρ a b ) for correlations in terms of the WYD skew information is introduced and discussed. The following conclusions are obtained. For a classical-quantum state ρ a b , F a,α (ρ a b )=0 if and only if ρ a b is a product state; F a,α (ρ a b ) is locally unitary invariant and convex on the set of states with the fixed marginal ρ a ; F a,α (ρ a b ) decreases under local random unitary operation on H b ; For a quantum-classical state ρ a b , F a,α (ρ a b ) decreases under local operation on H b ; Lastly, F a,α (ρ a b ) is computed for the pure states and the Bell-diagonal states, respectively.

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Acknowledgments

This subject was supported by the NNSF of China (Nos. 11371012, 11401359, 11471200).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    Yajing Fan & Huaixin Cao

  2. School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan, 750021, China

    Yajing Fan

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  1. Yajing Fan
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  2. Huaixin Cao
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Correspondence to Huaixin Cao.

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Fan, Y., Cao, H. Quantifying Correlations via the Wigner-Yanase-Dyson Skew Information. Int J Theor Phys 55, 3843–3858 (2016). https://doi.org/10.1007/s10773-016-3014-y

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  • DOI: https://doi.org/10.1007/s10773-016-3014-y

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