dorsal/arxiv
View SchemaComment on "Conceptual Inadequacy of Shannon Information ..." by C. Brukner and A. Zeilinger
| Authors | Michael J. W. Hall |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007116 |
| URL | https://arxiv.org/abs/quant-ph/0007116 |
Abstract
It is pointed out that the case for Shannon entropy and von Neumann entropy, as measures of uncertainty in quantum mechanics, is not as bleak as suggested in quant-ph/0006087. The main argument of the latter is based on one particular interpretation of Shannon's H-function (related to consecutive measurements), and is shown explicitly to fail for other physical interpretations. Further, it is shown that Shannon and von Neumann entropies have in fact a common fundamental significance, connected to the existence of a unique geometric measure of uncertainty for classical and quantum ensembles. Some new properties of the ``total information'' measure proposed in quant-ph/0006087 are also given.
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"abstract": "It is pointed out that the case for Shannon entropy and von Neumann entropy,\nas measures of uncertainty in quantum mechanics, is not as bleak as suggested\nin quant-ph/0006087. The main argument of the latter is based on one particular\ninterpretation of Shannon\u0027s H-function (related to consecutive measurements),\nand is shown explicitly to fail for other physical interpretations. Further, it\nis shown that Shannon and von Neumann entropies have in fact a common\nfundamental significance, connected to the existence of a unique geometric\nmeasure of uncertainty for classical and quantum ensembles. Some new properties\nof the ``total information\u0027\u0027 measure proposed in quant-ph/0006087 are also\ngiven.",
"arxiv_id": "quant-ph/0007116",
"authors": [
"Michael J. W. Hall"
],
"categories": [
"quant-ph"
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"title": "Comment on \"Conceptual Inadequacy of Shannon Information ...\" by C. Brukner and A. Zeilinger",
"url": "https://arxiv.org/abs/quant-ph/0007116"
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