Results 61 to 70 of about 11,611 (196)
alpha-z-relative Renyi entropies
We consider a two-parameter family of R nyi relative entropies $D_{ ,z}( || )$ that are quantum generalisations of the classical R nyi divergence $D_ (p||q)$. This family includes many known relative entropies (or divergences) such as the quantum relative entropy, the recently defined quantum R nyi divergences, as well as the quantum R nyi ...
Audenaert, Koenraad M. R. +1 more
openaire +2 more sources
ABSTRACT Among the various theories of categorization, Eleanor Rosch's prototype theory stands out as both influential and contested. In contrast to the classical theory of concepts, prototype theory posits that humans conceptualize the world using category structures where exemplars vary in their degree of membership.
Zilong Liu +5 more
wiley +1 more source
Assessing the Mixing Quality of Hetero‐Aggregates: Applying Mixing Theory to STEM‐EDX Elemental Maps
This study introduces a quantitative method to assess the mixing quality of carbon black‐silica hetero‐aggregates formed in spray flames. Using STEM‐EDX mapping and concepts from mixing theory, the approach characterizes intra‐ and inter‐aggregate homogeneity and particle clustering, enabling precise, composition‐independent evaluation of hetero ...
Simon Buchheiser +4 more
wiley +1 more source
This paper shows how to quantify and test for the information flow between two time series with Shannon transfer entropy and Rényi transfer entropy using the R package RTransferEntropy. We discuss the methodology, the bias correction applied to calculate
Simon Behrendt +3 more
doaj +1 more source
Analyzing the Free States of one Quantum Resource Theory as Resource States of Another
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris +5 more
wiley +1 more source
The approximate analytical solutions of the Schrӧdinger equation for Eckart potential is obtained via supersymmetry shape invariance approach. The energy equation and the corresponding wave function are obtained in a closed and compact form.
C.A. Onate +3 more
doaj +1 more source
Dynamical entropic measure of nonclassicality of phase-dependent family of Schrödinger cat states
The phase-space approach based on the Wigner distribution function is used to study the quantum dynamics of the three families of the Schrödinger cat states identified as the even, odd, and Yurke–Stoler states.
M. Kalka +4 more
doaj +1 more source
Fuzzy Clustering Methods with Rényi Relative Entropy and Cluster Size
In the last two decades, information entropy measures have been relevantly applied in fuzzy clustering problems in order to regularize solutions by avoiding the formation of partitions with excessively overlapping clusters.
Javier Bonilla +3 more
doaj +1 more source
On Renyi entropy for free conformal fields: holographic and q-analog recipes
We describe a holographic approach to explicitly compute the universal logarithmic contributions to entanglement and Renyi entropies for free conformal scalar and spinor fields on even-dimensional spheres.
Aros, R., Bugini, F., Diaz, D. E.
core +1 more source
By identifying unique/enriched microbial species across taxa and diet types in 318 animal species with our SSD (specificity and specificity diversity) framework, we demonstrated that host phylogeny and diet are joint drivers of microbial specificity compositional heterogeneity, potentially linking the macroecological pattern of phylosymbiosis with the ...
Zhanshan (Sam) Ma
wiley +1 more source

