dorsal/arxiv
View SchemaVolume of classical and quantum ensembles: geometric approach to entropy and information
| Authors | Michael J. W. Hall |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806013 |
| URL | https://arxiv.org/abs/quant-ph/9806013 |
Abstract
It is shown for classical and quantum ensembles that there is a unique quantity which has the properties of a "volume". This quantity is a function of the ensemble entropy, and hence provides a geometric interpretation for the latter. It further provides a geometric picture for deriving and unifying a number of results in classical and quantum information theory, and for discussing entropic uncertainty relations.
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"abstract": "It is shown for classical and quantum ensembles that there is a unique\nquantity which has the properties of a \"volume\". This quantity is a function of\nthe ensemble entropy, and hence provides a geometric interpretation for the\nlatter. It further provides a geometric picture for deriving and unifying a\nnumber of results in classical and quantum information theory, and for\ndiscussing entropic uncertainty relations.",
"arxiv_id": "quant-ph/9806013",
"authors": [
"Michael J. W. Hall"
],
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"title": "Volume of classical and quantum ensembles: geometric approach to entropy and information",
"url": "https://arxiv.org/abs/quant-ph/9806013"
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