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.
| Original language | English |
|---|---|
| Article number | 093101 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2022 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sept 1 2022 |
Keywords
- quantum phase transitions
- solvable lattice models
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty