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Weak Measurements Destroy Too Much Quantum Correlation

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Abstract

The quantum correlation under weak measurements is studied via skew information. For 2 × d-dimensional states, it can be given by a closed form which linearly depends on the quantum correlation [EPL. 107 (2014) 10007] determined by the strength of the weak measurement. It is found that the quantum correlation under weak measurements only captures partial quantumness of the state. In particular, the extraction of the residual quantumness by the latter measurements will inevitably destroy too much quantumness. To demonstration, the Werner state is given as an example.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China, under Grants No. 11175033 and No. 11375036, the Xinghai Scholar Cultivation Plan and the Fundamental Research Funds for the Central Universities under grants NO. DUT15LK35.

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Authors and Affiliations

  1. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, 116024, China

    Shao-xiong Wu, Jun Zhang, Chang-shui Yu & He-shan Song

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  1. Shao-xiong Wu
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  2. Jun Zhang
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  3. Chang-shui Yu
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  4. He-shan Song
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Correspondence to Chang-shui Yu.

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Wu, Sx., Zhang, J., Yu, Cs. et al. Weak Measurements Destroy Too Much Quantum Correlation. Int J Theor Phys 55, 62–70 (2016). https://doi.org/10.1007/s10773-015-2633-z

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  • DOI: https://doi.org/10.1007/s10773-015-2633-z

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