Traditional measures of diversity, namely the number of species as well as Simpson's and Shannon's indices, are particular cases of Tsallis entropy. Entropy decomposition, i.e. decomposing gamma entropy into alpha and beta components, has been previously derived in the literature. We propose a generalization of the additive decomposition of Shannon entropy applied to Tsallis entropy. We obtain ...

A/Mmcr-It is proved that the Shannon zero-error capacity of the pentagon is e. The method is then generalized to obtain upper bounds on the capacity of au arbitrary graph. A well-characterized, and in a sense easily computable, function is introduced which bounds the capacity from above and equals the capacity in a large number of cases. Several results are obtained on the capacity of special g...

This paper proposes a new quantum control method which controls the Shannon entropy of quantum systems. For both discrete and continuous entropies, controller design methods are proposed based on probability density function control, which can drive the quantum state to any target state. To drive the entropy to any target at any prespecified time, another discretization method is proposed for t...

| We consider the problem of describing the exact compression performance of a classical Shannon random codebook, for lossy source coding at a xed distortion level. For a memoryless source with a nite alphabet and a single-letter distortion measure, we address the following questions: (1) Are all random codebooks equally good? (2) What is the pointwise redundancy of a typical random codebook? (...