dorsal/arxiv
View SchemaJensen-Shannon divergence, Fisher information, and Wootters' hypothesis
| Authors | M. Casas, P. W. Lamberti, A. Plastino, A. R. Plastino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407147 |
| URL | https://arxiv.org/abs/quant-ph/0407147 |
Abstract
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.
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"abstract": "We discuss different statistical distances in probability space, with\nemphasis on the Jensen-Shannon divergence, vis-a-vis {\\it metrics} in Hilbert\nspace and their relationship with Fisher\u0027s information measure. This study\nprovides further reconfirmation of Wootters\u0027 hypothesis concerning the\npossibility that statistical fluctuations in the outcomes of measurements be\nregarded (at least partly) as responsible for the Hilbert-space structure of\nquantum mechanics.",
"arxiv_id": "quant-ph/0407147",
"authors": [
"M. Casas",
"P. W. Lamberti",
"A. Plastino",
"A. R. Plastino"
],
"categories": [
"quant-ph"
],
"title": "Jensen-Shannon divergence, Fisher information, and Wootters\u0027 hypothesis",
"url": "https://arxiv.org/abs/quant-ph/0407147"
},
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