Entropy of quantum Markov states on Cayley trees
Abdessatar Souissi, Farrukh Maksutovich Mukhamedov
Abstract In this paper, we continue the investigation of quantum Markov states (QMSs) and define their mean entropies. Such entropies are explicitly computed under certain conditions. The present work takes a huge leap forward at tackling one of the most important open problems in quantum probability, which concerns the calculations of mean entropies of quantum Markov fields. Moreover, it opens up a new perspective for the generalization of many interesting results related to the one-dimensional QMSs and quantum Markov chains to multi-dimensional cases.
arXiv:2208.03768•Journal of Statistical Mechanics Theory and Experiment•Sep 1, 2022•5 citations