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quant-ph2000
Towards Nonadditive Quantum Information Theory
Sumiyoshi Abe, A. K. Rajagopal
A definition of the nonadditive (nonextensive) conditional entropy indexed by q is presented. Based on the composition law in terms of it, the Shannon-Khinchin axioms are generaliz…
cond-mat.stat-mech2000
Properties of convergence of nonextensive statistical distribution to the Levy distribution
Sumiyoshi Abe, A. K. Rajagopal
It is shown that the distribution derived from the principle of maximum Tsallis entropy is a superposable Levy-type distribution. Concomitantly, the leading order correction to the…