|
| related topics |
| {information, entropy, channel} |
| {energy, gaussian, time} |
| {equation, function, exp} |
| {measurement, state, measurements} |
| {vol, operators, histories} |
| {observables, space, algebra} |
| {let, theorem, proof} |
| {particle, mechanics, theory} |
| {classical, space, random} |
|
Shannon Entropy: Axiomatic Characterization and Application
C. G. Chakrabarti, Indranil Chakrabarty
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0511171
- categories:
- quant-ph
- comments:
- 11 pages
- arxiv_id:
- quant-ph/0511171
- journal_ref:
- IJMMS Vol-17,2847-2854 (2005)
- created:
- 2005-11-17
Full article ▸
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