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On two properties of the Fisher information

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  • Alternative proofs for the superadditivity and the affinity (in the large system limit) of the usual and some fractional Fisher informations of a probability density of many variables are provided. They are consequences of the fact that such informations can be interpreted as quantum kinetic energies.


    Erratum: The month information has been corrected from January to February. We apologize for any inconvenience this may cause.

    Mathematics Subject Classification: Primary: 82Bxx, 35Qxx; Secondary: 49Sxx.


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