Physics – Quantum Physics
Scientific paper
2004-07-19
Physics
Quantum Physics
Scientific paper
We discuss different statistical distances in probability space, with emphasis on the Jensen-Shannon divergence, vis-a-vis {\it metrics} in Hilbert space and their relationship with Fisher's information measure. This study provides further reconfirmation of Wootters' hypothesis concerning the possibility that statistical fluctuations in the outcomes of measurements be regarded (at least partly) as responsible for the Hilbert-space structure of quantum mechanics.
Casas M.
Lamberti Pedro W.
Plastino Angel
Plastino Angel R.
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