197 citations · 1.3k across the 70 of their papers we have counts for
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Rényi and Tsallis entropies related to eigenfunctions of quantum graphs
Alexey E. Rastegin
For certain families of finite quantum graphs, we study the question of how eigenfunctions are distributed over the graph. To characterize properties of the distribution, generaliz…
Rényi formulation of entanglement criteria for continuous variables
Alexey E. Rastegin
Entanglement criteria for an -partite quantum system with continuous variables are formulated in terms of Rényi entropies. Rényi entropies are widely used as a good information…
Rényi and Tsallis formulations of separability conditions in finite dimensions
Alexey E. Rastegin
Separability conditions for a bipartite quantum system of finite-dimensional subsystems are formulated in terms of Rényi and Tsallis entropies. Entropic uncertainty relations often…
On entropic uncertainty relations in the presence of a minimal length
Alexey E. Rastegin
Entropic uncertainty relations for the position and momentum within the generalized uncertainty principle are examined. Studies of this principle are motivated by the existence of…
Entropic uncertainty relations for successive measurements of canonically conjugate observables
Alexey E. Rastegin
Uncertainties in successive measurements of general canonically conjugate variables are examined. Such operators are approached within a limiting procedure of the Pegg-Barnett type…
On conclusive eavesdropping and measures of mutual information in quantum key distribution
Alexey E. Rastegin
We address the question of quantifying eavesdropper's information gain in an individual attack on systems of quantum key distribution. It is connected with the concept of conclusiv…