Entropy of quantum Markov states on Cayley trees. (1st September 2022)

• Record Type: Journal Article
• Authors: Mukhamedov, Farrukh; Souissi, Abdessatar
• Is Part Of: Journal of statistical mechanics. (2022:Sep.)
• Publication Date: 2022-09-01
• Subjects: quantum phase transitions -- solvable lattice models; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac8740
• Languages: English
• ISSNs: 1742-5468

Abstract

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.