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Entropic measures of joint uncertainty: Effects of lack of majorization

Author

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  • Luis, Alfredo
  • Bosyk, Gustavo Martín
  • Portesi, Mariela

Abstract

We compute Rényi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used. These results are not reproduced by a more standard duality relation. We show that these behaviors are consistent with the lack of majorization relation between the corresponding statistics.

Suggested Citation

  • Luis, Alfredo & Bosyk, Gustavo Martín & Portesi, Mariela, 2016. "Entropic measures of joint uncertainty: Effects of lack of majorization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 905-913.
  • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:905-913
    DOI: 10.1016/j.physa.2015.10.097
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    Cited by:

    1. Xue, Yige & Deng, Yong, 2022. "A decomposable Deng entropy," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Bosyk, G.M. & Sergioli, G. & Freytes, H. & Holik, F. & Bellomo, G., 2017. "Approximate transformations of bipartite pure-state entanglement from the majorization lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 403-411.

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