32 citations · 120 across the 22 of their papers we have counts for
3 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…
Quantum Markov States on Cayley trees
Farrukh Mukhamedov, Abdessatar Souissi
It is known that any locally faithful quantum Markov state (QMS) on one dimensional setting can be considered as a Gibbs state associated with Hamiltonian with commuting nearest-ne…
Phase Transitions for quantum Ising model with competing XY -interactions on a Cayley tree
Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi +1
The main aim of the present paper is to establish the existence of a phase transition for the quantum Ising model with competing XY interactions within the quantum Markov chain (QM…