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Fundamental properties of Tsallis relative entropy [PDF]
Journal of Mathematical Physics, 2004 Fundamental properties for the Tsallis relative entropy in both classical and quantum systems are studied. As one of our main results, we give the parametric extension of the trace inequality between the quantum relative entropy and the minus of the trace of the relative operator entropy given by Hiai and Petz.
Furuichi, S., Yanagi, K., Kuriyama, K.
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Quantum Machine Learning Applications to Medical Images: A Survey
IET Quantum Communication, Volume 7, Issue 1, January/December 2026.In this review paper, we provide an outline of quantum neural networks (QNNs), quantum convolution neural networks (QCNNs) and various hybrid models. We also explore human brain‐inspired quantum neuromorphic computing by the quantum spiking neural networks (QSNN).
Mahua Nandy Pal +2 more
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International Journal of Energy Research, Volume 2026, Issue 1, 2026.As the leading energy source, oil price volatility has crucial effects in energy markets, and geopolitical risks (GPRs) and economic policy uncertainties contribute to its volatility. Further, chaos, long‐range dependence, fractionality, and complexity significantly reduce modeling and forecast performances.
Özgür Ömer Ersin +2 more
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Inflation based on the Tsallis entropy
The European Physical Journal CAbstractWe study the inflationary scenario in the Tsallis entropy-based cosmology. The Friedmann equations in this setup can be derived by using the first law of thermodynamics. To derive the relations of the power spectra of the scalar and tensor perturbations in this setup, we reconstruct an f(R) gravity model which is thermodynamically equivalent to
Teimoori, Zeinab +2 more
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Preservers for the Tsallis Entropy of Convex Combinations of Density Operators
Advances in Mathematical Physics, 2018 Let H be a complex separable Hilbert space; we first characterize the unitary equivalence of two density operators by use of Tsallis entropy and then obtain the form of a surjective map on density operators preserving Tsallis entropy of convex ...
Xiaochun Fang, Yihui Lao
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International Journal of Intelligent Systems, Volume 2026, Issue 1, 2026.Divergence measures constitute a fundamental mechanism for quantifying informational discrepancies in uncertainty‐aware decision analytics. Nevertheless, divergence‐based approaches have only recently been explored to circular intuitionistic fuzzy (CIF) environments, and existing studies remain largely confined to specific divergence formulations and ...
Ting-Yu Chen
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Tsallis Entropy and Degeneracy
, 2023 For a Maxwell-Boltzmann situation, one may consider the number of permutations of N particles with n(ei) of them having energy ei i.e. N!/ Product over i n(ei)!. In such a case, n(ei)! removes the degeneracy of the identical n(ei) particles. In order to convert the degeneracies into a sum, one takes ln of the number of permutations. In such a case one
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Measures of uncertainty such as entropy, extropy, varentropy, and varextropy play a fundamental role in statistical modeling and information analysis of probability distributions. In this article, we present and examine the variance of generalized extropy, providing a detailed investigation of its mathematical structure and theoretical characteristics.
Mohamed Said Mohamed +2 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we have proposed a new family of probability distribution, known as the Dinesh–Umesh–Sanjay (DUS) Kumaraswamy‐G (DUSK‐G) family, which serves as a flexible extension of the DUS generator. As a special case, we introduce the DUS Kumaraswamy Weibull (DUSKW) distribution obtained by applying the proposed transformation to the Weibull ...
Aadil Ahmad Mir +5 more
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Generalized Shannon inequalities based on Tsallis relative operator entropy [PDF]
, 2005 Tsallis relative operator entropy is defined and then its properties are given. Shannon inequality and its reverse one in Hilbert space operators derived by Furuta [Linear Algebra Appl.
Furuichi, Shigeru +2 more
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