Comments on “Generalization of Shannon–Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem for the Nonextensive Entropy”
نویسندگان
چکیده
منابع مشابه
Uniqueness of Nonextensive entropy under Renyi's Recipe
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15 صفحه اولNonextensive Pythagoras' Theorem
Kullback-Leibler relative-entropy, in cases involving distributions resulting from relative-entropy minimization, has a celebrated property reminiscent of squared Euclidean distance: it satisfies an analogue of the Pythagoras’ theorem. And hence, this property is referred to as Pythagoras’ theorem of relative-entropy minimization or triangle equality and plays a fundamental role in geometrical ...
متن کاملGeneralization of the Peres criterion for local realism through nonextensive entropy
A bipartite spin-1/2 system having the probabilities 1+3x 4 of being in the Einstein-Podolsky-Rosen entangled state |Ψ−>≡ 1 √ 2 (|↑>A |↓>B−|↓>A |↑>B) and 3(1−x) 4 of being orthogonal, is known to admit a local realistic description if and only if x < 1/3 (Peres criterion). We consider here a more general case where the probabilities of being in the entangled states |Φ±>≡ 1 √ 2 (|↑>A |↑>B ±|↓>A ...
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The local structure entropy is a new method which is proposed to identify the influential nodes in the complex networks. In this paper a new form of the local structure entropy of the complex networks is proposed based on the Tsallis entropy. The value of the entropic index q will influence the property of the local structure entropy. When the value of q is equal to 0, the nonextensive local st...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2013
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2013.2259958