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20162026
most citedPhase transitions for Quantum Markov Chains associated with Ising type models on a Cayley tree

32 citations · 120 across the 22 of their papers we have counts for

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math.OA2016★ 4 cited

Construction of a new class of quantum Markov fields

Luigi Accardi, Farrukh Mukhamedov, Abdessatar Souissi

In the present paper, we propose a new construction of quantum Markov fields on arbitrary connected, infinite, locally finite graphs. The construction is based on a specific tessel…

math-ph2016★ 32 cited

Phase transitions for Quantum Markov Chains associated with Ising type models on a Cayley tree

Farrukh Mukhamedov, Abdessatar Barhoumi, Abdessatar Souissi

The main aim of the present paper is to prove the existence of a phase transition in quantum Markov chain (QMC) scheme for the Ising type models on a Cayley tree. Note that this ki…