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Skew information decreases under quantum measurements

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Abstract

We prove that the skew information decreases under nonselective quantum measurements that do not disturb the conserved observable. We further conjecture that the skew information also decreases under selective quantum measurements, and we prove this for two-dimensional quantum systems.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China

    Shunlong Luo

  2. Department of Mathematics, City University of Hong Kong, Hong Kong

    Qiang Zhang

Authors
  1. Shunlong Luo
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  2. Qiang Zhang
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 1, pp. 109–119, April, 2007.

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Luo, S., Zhang, Q. Skew information decreases under quantum measurements. Theor Math Phys 151, 529–538 (2007). https://doi.org/10.1007/s11232-007-0039-7

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  • DOI: https://doi.org/10.1007/s11232-007-0039-7

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