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On Conditional Tsallis Entropy [PDF]

open access: yesEntropy, 2021
There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter α that converges to the Shannon entropy as α approaches 1.
Andreia Teixeira   +2 more
doaj   +12 more sources

Biseparability of noisy pseudopure, W and GHZ states using conditional quantum relative Tsallis entropy [PDF]

open access: yesQuantum Information Processing, 2017
We employ the conditional version of sandwiched Tsallis relative entropy to determine 1:N-1 separability range in the noisy one-parameter families of pseudopure and Werner-like N-qubit W, GHZ states. The range of the noisy parameter, for which the conditional sandwiched Tsallis relative entropy is positive, reveals perfect agreement with the necessary ...
A R Usha Devi   +2 more
exaly   +5 more sources

Tsallis Entropy of Product MV-Algebra Dynamical Systems

open access: yesEntropy, 2018
This paper is concerned with the mathematical modelling of Tsallis entropy in product MV-algebra dynamical systems. We define the Tsallis entropy of order α , where α ∈ ( 0 , 1 ) ∪ ( 1 , ∞ ) , of a partition in ...
Dagmar Markechová, Beloslav Riečan
doaj   +4 more sources

Tsallis Entropy of Fuzzy Dynamical Systems

open access: yesMathematics, 2018
This article deals with the mathematical modeling of Tsallis entropy in fuzzy dynamical systems. At first, the concepts of Tsallis entropy and Tsallis conditional entropy of order q , where q is a positive real number not equal to 1, of ...
Dagmar Markechová
doaj   +4 more sources

From the quantum relative Tsallis entropy to its conditional form: Separability criterion beyond local and global spectra [PDF]

open access: yesPhysical Review A, 2014
The quantum relative Renyi entropy of two density matrices was recently extended when the two do not commute, from which a conditional entropy is identified. This is here extended to the corresponding Tsallis relative entropy and to its conditional form.
A R Usha Devi, A K Rajagopal
exaly   +5 more sources

Pseudo-Additive Tsallis Entropy and Non-Factorizing Joint Statistics in Product Sheffer Stroke Basic Algebras [PDF]

open access: yesEntropy
This paper addresses the problem of formulating generalized, non-extensive information-theoretic measures on finite non-distributive algebraic structures equipped with Riečan states, with particular emphasis on product Sheffer stroke basic algebras.
Ibrahim Senturk   +2 more
doaj   +2 more sources

Conditional entropic uncertainty relations for Tsallis entropies [PDF]

open access: yesQuantum Information Processing, 2018
The entropic uncertainty relations are a very active field of scientific inquiry. Their applications include quantum cryptography and studies of quantum phenomena such as correlations and non-locality. In this work we find entanglement-dependent entropic uncertainty relations in terms of the Tsallis entropies for states with a fixed amount of ...
Łukasz Pawela   +2 more
exaly   +6 more sources

Modeling of lifetime scenarios with non-monotonic failure rates. [PDF]

open access: yesPLoS ONE
The Weibull distribution is an important continuous distribution that is cardinal in reliability analysis and lifetime modeling. On the other hand, it has several limitations for practical applications, such as modeling lifetime scenarios with non ...
Amani Abdullah Alahmadi   +6 more
doaj   +2 more sources

Conditional Tsallis Entropy [PDF]

open access: yesCybernetics and Information Technologies, 2013
Abstract In this paper, the conditional Tsallis entropy is defined on the basis of the conditional Renyi entropy. Regarding the fact that Renyi entropy is the monotonically increasing function of Tsallis entropy, a relationship has also been presented between the joint Tsallis entropy and conditional Tsallis entropy.
Sanei Tabass Manije   +2 more
openaire   +1 more source

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