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4 papers · 2 filters
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…
On Ground States and Phase Transition for -Model with the Competing Potts Interactions on Cayley Trees
Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil +1
In this paper, we consider the -model with nearest neighbor interactions and with competing Potts interactions on the Cayley tree of order-two. We notice that if -function is…
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…