AI Article Synopsis
- Rényi's entropy is actually an observable quantity, contradicting previous claims.
- The reported domain of instability for Rényi entropies has zero measure, meaning it doesn’t significantly impact measurements.
- Instabilities can be resolved by using coarse graining techniques, and we clarify that Rényi's entropy is observable in various systems, including fractals.
Article Abstract
Despite recent claims we argue that Rényi's entropy is an observable quantity. It is shown that, contrary to popular belief, the reported domain of instability for Rényi entropies has zero measure (Bhattacharyya measure). In addition, we show that the instabilities can be easily emended by introducing a coarse graining into an actual measurement. We also clear up any doubts regarding the observability of Rényi's entropy in (multi)fractal systems and in systems with absolutely continuous probability density functions.
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| http://dx.doi.org/10.1103/PhysRevE.69.026128 | DOI Listing |
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