57 citations · 887 across the 117 of their papers we have counts for
10 papers · 1 filter
Diagonalizability of quantum Markov States on trees
Farrukh Mukhamedov, Abdessatar Souissi
We introduce quantum Markov states (QMS) in a general tree graph , extending the Cayley tree's case. We investigate the Markov property w.r.t. the finer structure of the…
-adic monomial equations and their perturbation
Farrukh Mukhamedov, Otabek Khakimov
In this paper, we describe the set of all solutions of monomial equation over . Moreover, as an application of the result, we study several perturbations of th…
On omega limiting sets of infinite dimensional Volterra operators
Farrukh Mukhamedov, Otabek Khakimov, Ahmad Fadillah Embong
In the present paper, we are aiming to study limiting behavior of infinite dimensional Volterra operators. We introduce two classes and $\tilde{\mathcal{V}…
Chaotic behavior of the -adic Potts-Bethe mapping II
Farrukh Mukhamedov, Otabek Khakimov
In our previous investigations, we have developed the renormalization group method to -adic -state Potts model on the Cayley tree of order . This method is closely related…
Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality
Dariusz Chruściński, Farrukh Mukhamedov
We introduce a concept of Kadison-Schwarz divisible dynamical maps. It turns out that it is a natural generalization of the well known CP-divisibility which characterizes quantum M…
A Formulation of Rényi Entropy on -Algebras
Farrukh Mukhamedov, Kyouhei Ohmura, Noboru Watanabe
The entropy of probability distribution defined by Shannon has several extensions. Rényi entropy is one of the general extensions of Shannon entropy and is widely used in engineeri…