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arXiv · 1501.06667

Entropic measures of joint uncertainty: effects of lack of majorization

Alfredo Luis·Gustavo Martín Bosyk·Mariela Portesi
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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.

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Alfredo Luis, Gustavo Martín Bosyk, Mariela Portesi. 2015-11-16. Entropic measures of joint uncertainty: effects of lack of majorization. https://doi.org/10.1016/j.physa.2015.10.097

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