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math-ph2022★ 5 cited
Entropy of Quantum Markov states on Cayley trees
Farrukh Mukhamedov, Abdessatar Souissi
In this paper, we continue the investigation of quantum Markov states (QMS) and define their mean entropies. Such entropies are explicitly computed under certain conditions. The pr…
math-ph2019★ 22 cited
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…