Entropy of Quantum Markov states on Cayley trees
Mathematical Physics
2022-09-28 v1 Functional Analysis
math.MP
Operator Algebras
Abstract
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 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 new perspective for the generalization of many interesting results related to the one dimensional quantum Markov states and chains to multi-dimensional cases.
Cite
@article{arxiv.2208.03768,
title = {Entropy of Quantum Markov states on Cayley trees},
author = {Farrukh Mukhamedov and Abdessatar Souissi},
journal= {arXiv preprint arXiv:2208.03768},
year = {2022}
}
Comments
14 pages, JSTAT accepted