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On observability of Renyi's entropy

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arxiv cond-mat/0307698 v2 pith:QHTRFKJ6 submitted 2003-07-29 cond-mat.stat-mech hep-thmath-phmath.MPquant-ph

Petr Jizba , Toshihico Arimitsu This is my paper · ORCID
classification cond-mat.stat-mechhep-thmath-phmath.MPquant-ph
keywords renyientropymeasureobservabilitysystemsabsolutelyactualaddition
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Despite recent claims we argue that Renyi's entropy is an observable quantity. It is shown that, contrary to popular belief, the reported domain of instability for Renyi entropies has zero measure (Bhattacharyya measure). In addition, we show the instabilities can be easily emended by introducing a coarse graining into an actual measurement. We also clear up doubts regarding the observability of Renyi's entropy in (multi--)fractal systems and in systems with absolutely continuous PDF's.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Open Quantum Entanglement: A study of two atomic system in static patch of de Sitter space

    hep-th 2019-08 reject novelty 5.0 of 10

    Using a two-atom open quantum system in de Sitter space, the authors claim to derive analytic entanglement dynamics and Bell inequality violation, but the derivation rests on an ad hoc imaginary-frequency condition.

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