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.
Create a lesson
Related papers
Logical CCZ state cultivation
Yuta Hirasaki, Jong Yeon Lee
Quantum-Aware Key Rank for Side-Channel Attacks evaluation
Yevgen Kotukh
Intermediate memory costs of quantum channel synthesis with a protected subsystem
Kai Liu, Deguang Han
Quantum Work Statistics from Entanglement-Assisted Invariance
Akira Sone, Akram Touil, Emery Doucet et al.
Petz Recovery through a Single Polar Transformation for Approximate Quantum Error Correction
Hanzhang Zhao, Shenglong Xu
Demonstration of a mobile ion-trap quantum device
Sara Alfaro, Dipesh Bhanushali, Sankarshan Choudapurkar et al.