dorsal/arxiv
View SchemaShannon Entropy: Axiomatic Characterization and Application
| Authors | C. G. Chakrabarti, Indranil Chakrabarty |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511171 |
| URL | https://arxiv.org/abs/quant-ph/0511171 |
| Journal | IJMMS Vol-17,2847-2854 (2005) |
Abstract
We have presented a new axiomatic derivation of Shannon Entropy for a discrete probability distribution on the basis of the postulates of additivity and concavity of the entropy function.We have then modified shannon entropy to take account of observational uncertainty.The modified entropy reduces, in the limiting case, to the form of Shannon differential entropy. As an application we have derived the expression for classical entropy of statistical mechanics from the quantized form of the entropy.
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"abstract": "We have presented a new axiomatic derivation of Shannon Entropy for a\ndiscrete probability distribution on the basis of the postulates of additivity\nand concavity of the entropy function.We have then modified shannon entropy to\ntake account of observational uncertainty.The modified entropy reduces, in the\nlimiting case, to the form of Shannon differential entropy. As an application\nwe have derived the expression for classical entropy of statistical mechanics\nfrom the quantized form of the entropy.",
"arxiv_id": "quant-ph/0511171",
"authors": [
"C. G. Chakrabarti",
"Indranil Chakrabarty"
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"title": "Shannon Entropy: Axiomatic Characterization and Application",
"url": "https://arxiv.org/abs/quant-ph/0511171"
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