22 citations · 39 across the 6 of their papers we have counts for
10 papers
Quantum Markov Chains on the Comb graphs: Ising model
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi
In the present paper, we construct quantum Markov chains (QMC) over the Comb graphs. As an application of this construction, it is proved the existence of the disordered phase for…
Refinement of quantum Markov states on trees
Farrukh Mukhamedov, Abdessatar Souissi
In the present paper, we propose a refinement for the notion of quantum Markov states (QMS) on trees. A structure theorem for QMS on general trees is proved. We notice that any res…
Block Markov Chains on Trees
Abdessatar Souissi
We introduce block Markov chains (BMCs) indexed by an infinite rooted tree. It turns out that BMCs define a new class of tree-indexed Markovian processes. We clarify the structure…
The Hermitian Jacobi process: simplified formula for the moments and application to optical fibers MIMO channels
Nizar Demni, Tarek Hamdi, Abdessatar Souissi
Using a change of basis in the algebra of symmetric functions, we compute the moments of the Hermitian Jacobi process. After a careful arrangement of the terms and the evaluation o…
A Forward Quantum Markov Field on Graphs
Abdessatar Souissi
In this paper, we propose a class of quantum Markov fields QMF on a graphs . The Markov structure of the considered QMF is investigated in the finer structure of a quasi-…
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…